Free now and forever through Sabaq.pk website
For Schools
About Us
Media
Success
Sign In
Free now and forever thru Sabaq.pk website
Math | Class 12
Punjab
Class 12
Math (
Total Videos: 627
)
Preference
All Chapters
Chapter 1: Functions and Limits
Chapter 2: Differentiation
Chapter 3: Integration
Chapter 4: Introduction to Analytic Geometry
Chapter 5: Linear Inequalities and Linear Programming
Chapter 6: Conic Section
Chapter 7: Vectors
Show Content
Select a chapter above and press 'Show Content'. Click a video topic below to view.
Chapter 1 Functions and Limits (
58 videos
)
(
Practice Test
)
1.1: Introduction (
Practice Test
)
Introduction to Function
33866 views
More on Introduction to Functions
11149 views
Problem3-Introduction to Function
6740 views
Problem4-Introduction to Function
4776 views
Domain & Range of Binary Relation
16264 views
Graphs of Algebraic Functions
3532 views
Graph of Functions Defined Piece-wise
3167 views
1.2: Types of Functions (
Practice Test
)
Algebraic Functions
9511 views
Trigonometric Functions
4057 views
Inverse Trigonometric Functions
3827 views
More on Inverse Trigonometric Functions
2162 views
Further to Inverse Trignometric Functions
1465 views
Exponential Functions
2470 views
Logarithmic Function
2142 views
More on Logarithmic Function
1434 views
Hyperbolic Functions
Inverse Hyperbolic Functions
2559 views
Explicit and Implicit Functions
4467 views
Parametric Functions
1938 views
Even and Odd Functions
2827 views
Problem-Even and Odd Functions
1438 views
1.3: Composition of Function and Inverse of a Function (
Practice Test
)
Composition of a Functions
4293 views
Problem-Composition of Functions
1735 views
Inverse of a Function
4588 views
More on Inverse of a Function
1843 views
Problem2-Inverse of a Function
1803 views
Algebraic Method to find the Inverse Function
1522 views
Problem-Algebraic Method to find the Inverse Function
1299 views
1.4: Limit of a Function and Theorems on Limits (
Practice Test
)
Meaning of the Phrase 'x' Approaches zero, Infinity
2801 views
Problem-Meaning of the Phrase 'x' Approaches zero, Infinity
1672 views
Concept of a Limit of a Function
4475 views
Problem-Concept of Limit of a Function
2035 views
1.5: Limits of Important Functions (
Practice Test
)
Limit at Infinity
3065 views
Method for Evaluating the Limits at Infinity
2669 views
Problem-Method for Evaluating the Limits at Infinity
1474 views
Deducting Formulae at Limit Approaches to 0 and infinity
2093 views
Problem-Deducting Formulae at Limit Approaches to 0 and infinity
1263 views
The Sandwitch Theorem
2442 views
1.6: Continous and Discontinuous Functions (
Practice Test
)
One-Sided Limits
2112 views
Criterion for Existence of Limit of a Function
1874 views
Problem1-Criterion for Existence of Limit of a Function
1501 views
Continuity of a Function at a Number
2146 views
1.7: Graphs (
Practice Test
)
Graph of the Exponential Function
1482 views
Problem1-Graph of the Exponential Function
788 views
More on Graph of Exponential Function
698 views
Problem1-More on Graph of Exponential Function
602 views
Graph of Common Logarithmic Function
771 views
Problem1-Graph of Common Logarithmic Function
573 views
Graph of Natural Logarithmic Function
636 views
Problem1-Graph of Natural Logarithmic Function
500 views
Graphs of Implicit Functions-Circle
732 views
Problem1-Graphs of Implicit Functions-Circle
522 views
Graphs of Implicit Functions-Ellipse
604 views
Graph of Parametric Equations
832 views
Problem1-Graph of Parametric Equations
631 views
Graphs of Discontinuous Functions
807 views
Problem1-Graphs of Discontinuous Functions
567 views
Graphical Solution of the Equation
796 views
Chapter 2 Differentiation (
84 videos
)
(
Practice Test
)
2.1: Introduction (
Practice Test
)
Introducing Dependent and Independent Variables
10317 views
Average Rate of Change
5517 views
Derivative of a Function
10366 views
More on Derivative of a Function
5075 views
Notation for Derivative
3686 views
Geometrical Interpretation of a Derivative
5746 views
More on Geometrical Interpretation of Derivative
2818 views
2.2: Finding f'(x) from Definition of Derivative (
Practice Test
)
Derivative by First Principle
6497 views
More on Derivative by First Principle
2915 views
Problem1-Derivative by First Principle
3768 views
Problem2-Derivative by First Principle
2709 views
2.3: Theorems on Definition (
Practice Test
)
Derivative of a Constant Function
3467 views
Power Rule for Differentiation
2573 views
More on Power Rule for Differentiation
1523 views
Problem-Power Rule for Differentiation
1972 views
Problem1-Power Rule for Differentiation
1653 views
Derivative of a sum or Difference of Functions
1646 views
Problem1-Derivative of a sum or Difference of Functions
1408 views
Derivative of Product
1589 views
Problem1-Derivative of Product
1458 views
Derivative of a Quotient
1529 views
More on Derivative of a Quotient
1153 views
2.4: The Chain Rule (
Practice Test
)
Differentiation by Chain Rule
4515 views
More on Differentiation by Chain Rule
1970 views
Problem1-Differentiation by Chain Rule
1824 views
Problem2a-Differentiation by Chain Rule
1349 views
2.5: Derivative of Inverse Functions
Derivative of Inverse Functions
2104 views
2.6: Derivative of Functions Given in the Form of Parametric Equations
Derivative of Parametric Equations
1955 views
Problem1-Derivative of Parametric Equations
1198 views
2.7: Differentiation of Implicit Relations
Implicit Differentiations
2072 views
Problem-Implicit Differentiations
1263 views
More on Problem-Implicit Differentiations
912 views
2.8: Derivatives of Trigonometric Functions (
Practice Test
)
Derivative of Trigonometric Functions
2286 views
More on Derivative of Trigonometric Functions
1413 views
More stuff on Derivative of Trigonometric Functions
1087 views
Problem1-Derivative of Trigonometric Functions
1464 views
Problem2-Derivative of Trigonometric Functions
930 views
Problem3-Derivative of Trigonometric Functions
903 views
2.9: Derivatives of Inverse Trigonometric Functions (
Practice Test
)
Derivative of Inverse Trigonometric Functions
1543 views
More on Derivative of Inverse Trigonometric Functions
960 views
Problem1-Derivative of Inverse Trigonometric Functions
938 views
Problem2-Derivative of Inverse Trigonometric Functions
760 views
Problem3-Derivative of Inverse Trigonometric Functions
711 views
2.10: Derivative of Exponential Functions
Derivative of Exponential Functions
1722 views
Problem1-Derivative of Exponential Functions
1166 views
2.11: Derivative of Logarithmic Functions
Derivative of Logarithmic Functions
1501 views
Problem1-Derivative of Logarithmic Functions
1007 views
2.12: Logarithmic Differentiation
Problem Solving-Logarithmic Functions
1011 views
2.13: Derivative of Hyperbolic Functions (
Practice Test
)
Derivative of Hyperbolic Functions
1186 views
More on Derivative of Hyperbolic Functions
719 views
Problem1-Derivative of Hyperbolic Functions
542 views
2.14: Derivatives of the Inverse Hyperbolic Functions (
Practice Test
)
Derivatives of the Inverse Hyperbolic Functions
811 views
More on Derivatives of the Inverse Hyperbolic Functions
527 views
Problem1-Derivatives of the Inverse Hyperbolic Functions
618 views
2.15: Successive Differentiation Or Higher Derivatives (
Practice Test
)
Introducing Higher Order Differentiation
1752 views
Problem1-Introducing Higher Order Differentiation
1278 views
Problem2-Introducing Higher Order Differentiation
906 views
Problem3-Introducing Higher Order Differentiation
799 views
Problem4-Introducing Higher Order Differentiation
807 views
2.16: Series Expansion of Functions (
Practice Test
)
Introducing Maclaurin's Theorem
2337 views
More on Maclaurin's Theorem
1132 views
Problem1-Introducing Maclaurin's Theorem
1020 views
Problem2-Introducing Maclaurin's Theorem
659 views
2.17: Tailor Series Expansion of Functions
Tailor's Theorem
1612 views
More on Tailor's Theorem
952 views
Problem1a-Tailor's Theorem
867 views
Problem2-Tailor's Theorem
795 views
2.18: Geometrical Interpretation of a Derivative
Geometrical Interpretation of a Derivative
5746 views
2.19: Increasing and Decreasing Functions (
Practice Test
)
Increasing and Decreasing Functions
3460 views
More on Increasing and Decreasing Functions
2179 views
Problem1-Increasing and Decreasing Functions
1992 views
2.20: Relative Extrema
Introducing Relative Extrema
2038 views
Problem1-Introducing Relative Extrema
1496 views
2.21: Critical Values of Critical Points (
Practice Test
)
Relative Maxima and Minima
2145 views
Problem2-Relative Maxima and Minima
1179 views
Critical Values and Critical Points
1868 views
Point of Inflexion
1364 views
Second Derivative Test and Concavity
990 views
More on Second Derivative Test and Concavity
719 views
Problem Solving-Second Derivative Test and Concavity
736 views
Point on the Curve Closest to Given Point
1009 views
Problem1a-Second Derivative and Its Applications
834 views
Problem2a-Second Derivative and Its Applications
631 views
Problem3a-Second Derivative and Its Applications
628 views
Chapter 3 Integration (
91 videos
)
(
Practice Test
)
3.1: Introduction (
Practice Test
)
Antidifferentiation and Indefinite Integral
9618 views
Differentials of Variables
5001 views
Integral Language and Notation
3226 views
Difference between Delta y and dy
5118 views
Problem1-Difference between Delta y and dy
2349 views
3.2: Integration as Anti-Derivative (
Practice Test
)
Theorems on Anti-derivative
3295 views
Problem1-Theorems on Anti-derivative
2945 views
Problem2-Theorems on Anti-derivative
2069 views
Problem3-Theorems on Anti-derivative
1802 views
Problem4-Theorems on Anti-derivative
1630 views
To Integrate x Raise to Power n
2955 views
Problem1-To Integrate x Raise to Power n
1439 views
To Integrate Sine Functions
1765 views
To Integrate Cosine Functions
1116 views
To Integrate Secant Squared Fucntions
1156 views
To Integrate secx.tanx
7242 views
To Integrate Cosecant.Cotangent Functions
911 views
Integrating Exponential Functions
1071 views
To Integrate 1 by x
976 views
To Integrate Tangent Functions
910 views
To Integrate Cotangent Functions
693 views
To Integrate Cosecant Functions
699 views
Integrating Power Functions with Given Derivatives
1291 views
More on Integrating Power Functions with Given Derivatives
900 views
3.3: Integration By Method of Substitution
Integration by Substitution
4475 views
3.4: Some Useful Substitutions (
Practice Test
)
Some Useful Substitutions in Integration
2615 views
More on Some Useful Substitions in Integration
1388 views
Some More Useful Substitions in Integration
1171 views
Problem-Integration by Useful Substitution
1392 views
Problem2-Some More Useful Substitions in Integration
1111 views
Prolem3-Some More Useful Substitions in Integration
885 views
Prolem4-Some More Useful Substitions in Integration
828 views
Prolem5-Some More Useful Substitions in Integration
890 views
3.5: Integration By Parts (
Practice Test
)
Integration by Parts
3611 views
More on Integration by Parts
1852 views
Problem1-Integration by Parts
1727 views
Problem2-Integration by Parts
1187 views
Problem2b-Integration by Parts
1000 views
Integration by Parts of Trigonometric Functions
1432 views
More on Integration by Parts of Trigonometric Functions
1028 views
3.6: Integration Involving Partial Fractions (
Practice Test
)
Integrating Partial Fractions with Non-repeated Factors
1764 views
Problem1-Integrating Partial Fractions with Non-repeated Factors
1131 views
Problem1a-Integrating Partial Fractions with Non-repeated Factors
796 views
More on Integrating Partial Fractions with Non-repeated Factors
740 views
Integrating Partial Fractions with repeated Linear Factors
763 views
Problem-Integrating Partial Fractions with Non-repeated Linear Factors
607 views
Problem1a-Integrating Partial Fractions with Non-repeated Linear Fact
592 views
More on Integrating Partial Fractions with repeated Factors
611 views
Integrating Partial Fractions with Non-Repeated Quadratic Factors
924 views
Problem1-Integrating Partial Fractions with Non-Repeated Quadratic Fa
688 views
Problem1a-Integrating Partial Fractions with Non-Repeated Quadratic F
595 views
More on Integrating Partial Fractions with Non-Repeated Quadratic Fac
602 views
Further to Integrating Partial Fractions with Non-Repeated Quadratic
655 views
3.7: The Definite Integrals (
Practice Test
)
The Definite Integral
1871 views
Problem1-The Definite Integral
1431 views
Problem2-The Definite Integral
851 views
Problem2a-The Definite Integral
735 views
Area Under the Curve
1057 views
Problem1-Area Under the Curve
900 views
Problem2-Area Under the Curve
585 views
More on Area Under the Curve
640 views
Negative Area by Definite Integral
643 views
Symmetrical Area by Integration
542 views
Area Bounded by Two Curves by Integration
563 views
To Deal with Negative and Positive Areas in Integation
482 views
Area Bounded by Two Curves Above and Below x-axis
564 views
3.8: Applications of Definite Integrals (
Practice Test
)
Application of Definite Integral
964 views
More on Application of Definite Integral
551 views
Problem1-Application of Definite Integral
538 views
Problem2-Application of Definite Integral
437 views
Problem2a-Application of Definite Integral
417 views
Problem3-Application of Definite Integral
435 views
Problem3a-Application of Definite Integral
441 views
3.9: Differential Equations (
Practice Test
)
Introduction to Differential Equation
1591 views
More on Introduction to Differential Equation
871 views
Classification of Differential Equation
1499 views
More on Classification of Differnetial Equation
722 views
Solving First Order Differential Equation
985 views
More on Solving First Order Differential Equation
648 views
Problem1-Solving First Order Differential Equation
676 views
Problem2-Solving First Order Differential Equation
514 views
Solving First Order Differential Equation by Initial Conditions
525 views
P1-Solving First Order Differential Equation by Initial Conditions
510 views
P2-Solving First Order Differential Equation by Initial Conditions
410 views
P3-Solving First Order Differential Equation by Initial Conditions
413 views
Homogeneous Differential Equation
712 views
Differential Equation Reducible to Homogeneous Differential Equation
815 views
Differential Equation of Orthogonal Trajectories
1440 views
More on Differential Equation of Orthogonal Trajectories
641 views
Application of Differential Equations
596 views
More on Application of Differential Equations
409 views
Chapter 4 Introduction to Analytic Geometry (
92 videos
)
(
Practice Test
)
4.1: Introduction (
Practice Test
)
Cartesian Coordinate System & Cartesian Plane
8577 views
Derivation of Distance formula
11702 views
Use of Distance formula
5389 views
Problem1-Use of Distance formula
3710 views
Points Dividing the Join of Two Points in Given Ratio
3635 views
More on Points Dividing Join of Two Points in Given Ratio
2090 views
Problem1a-Points Dividing the Join of Two Points in Given Ratio
1691 views
Problem1b-Points Dividing the Join of Two Points in Given Ratio
1471 views
4.2: Translation and Rotation of Axes (
Practice Test
)
Translation of Axes
1826 views
Problem1-Translation of Axes
629 views
Problem2-Translation of Axes
479 views
Rotation of Axes
1666 views
Problem1-Rotation of Axes
502 views
Problem2-Rotation of Axes
408 views
4.3: Equations of Straight Lines (
Practice Test
)
Inclination of Line
2614 views
Problem1-Inclination of Line
749 views
Slope or Gradient of a Line
2503 views
Gradient of a Straight Line Joining Two Points
1737 views
Slope of Collinear Line Segments
1009 views
Slope of Parallel Lines
911 views
Problem1-Slope of Parallel Lines
673 views
Problem2-Slope of Parallel Lines
535 views
Equations of a Straight Line
1381 views
More on Equations of Straight Line
890 views
Problem1-Equations of a Straight Line
865 views
Derivation of Slope Intercept form
1258 views
Problem1-Derivation of Slope Intercept form
680 views
Deriving Point-slope Form of Equation of Straight Line
982 views
Problem1-Deriving Point-slope Form of Equation of Straight Line
603 views
Symmetric Form of Equation of Straight Line
2055 views
Problem1-Symmetric Form of Equation of Straight Line
755 views
Two Point form of Equation of Straight Line
835 views
Problem1-Two Point form of Equation of Straight Line
513 views
Intercept Form of Equation of Straight Line
795 views
Problem1-Intercept Form of Equation of Straight Line
490 views
Normal Form of Equation of Straight Line
1522 views
Problem1-Normal Form of Equation of Straight Line
653 views
How 2 Variabled Linear Equation Represent Straight Line
1940 views
Problem1-How 2 Variabled Linear Equation Represent Straight Line
947 views
Transforming General Linear Equation to Standard Forms
775 views
Problem2-Transforming General Linear Equation to Standard Forms
348 views
Transforming General Equation to Slope Intercept Form
374 views
Problem1-Transforming General Equation to Slope Intercept Form
296 views
Transforming General Form of Equation to Intercept Form
339 views
Problem1-Transforming General Form of Equation to Intercept Form
274 views
Transforming General Form of Equation to Normal Form
850 views
Problem1-Transforming General Form of Equation to Normal Form
374 views
Transforming General Form of Equation to Point Slope Form
287 views
Problem1-Transforming General Form of Equation to Point Slope Form
254 views
Transforming General Form of Equation to Symmetric Form
495 views
Problem1-Transforming General Form of Equation to Symmetric Form
309 views
Position of Point with Respect to Line
1736 views
More on Position of Point with Respect to Line
552 views
Problem1-Position of Point with Respect to Line
614 views
4.4: Two and Three Straight Lines (
Practice Test
)
Relationship between Two and Three Straight Lines
1097 views
The Point of Intersection of Straight Lines
2150 views
Problem1-The Point of Intersection of Straight Lines
884 views
Condition of Concurrency of Three Straight Lines
1193 views
More on Condition of Concurrency of Three Straight Lines
701 views
Problem1-Condition of Concurrency of Three Straight Lines
619 views
Equation of Lines Through Point of Intersecting 2 Lines
2408 views
Problem1-Equation of Lines Through Point of Intersecting 2 Lines
652 views
Condition that Altitudes of Triangle are Concurrent
1198 views
More on Condition that Altitudes of Triangle are Concurrent
487 views
Problem1-Condition that Altitudes of Triangle are Concurrent
417 views
Condition that Right Bisectors of Triangle are Concurrent
616 views
More on Condition that Right Bisectors of Triangle Concurrent
359 views
Problem1-Condition that Right Bisectors of Triangle are Concurrent
358 views
Distance of Point From Line
1039 views
Problem1-Distance of Point From Line
547 views
Problem2-Distance of Point From Line
778 views
Problem1-Distance between Two Parallel Lines
535 views
Area of Triangular Region With Given Vertices
975 views
More on Area of Triangular Region With Given Vertices
548 views
Problem1-Area of Triangular Region With Given Vertices
476 views
4.5: Angles Between Two Lines (
Practice Test
)
Angle Between Two Lines
1455 views
Problem1-Angle Between Two Lines
872 views
Problem2-Angle Between Two Lines
716 views
Equation of Straight Line in Matrix Form
734 views
More on Equation of Straight Line in Matrix Form
389 views
Problem1-Equation of a Straight Line in Matrix Form
353 views
Problem2-Equation of a Straight Line in Matrix Form
332 views
4.6: Homogeneous Equations-Second Degree in2 Variables (
Practice Test
)
Homogeneous Equation of Second Degree in Two Variables
1507 views
More on Homogeneous Equation of 2nd Degree in 2 Variables
946 views
Homogeneous Equation of Degree 'n'
984 views
More on Homogeneous Equation of Degree 'n'
574 views
Problem1-Homogeneous Equation of Degree 'n'
568 views
Problem2-Homogeneous Equation of Degree 'n'
440 views
Problem2-More on Homogeneous Equation of Degree 'n'
432 views
Problem3-Homogeneous Equation of Degree 'n'
469 views
Condition For the Lines to be Coincident
783 views
More on Condition For the Lines to be Coincident
487 views
Chapter 5 Linear Inequalities and Linear Programming (
29 videos
)
(
Practice Test
)
5.1: Introduction
Introduction to Linear Inequalities
3543 views
5.2: Linear Inequalities (
Practice Test
)
More on Introducing Linear Inequalities
1711 views
Problem1-Introduction to Linear Inequalities
1436 views
Graphing of Linear Inequality in Two Variables
1978 views
More on Graphing of Linear Inequality in Two Variables
1536 views
Problem1-Graphing of Linear Inequality in Two Variables
1313 views
Problem2-Graphing of Linear Inequality in Two Variables
1149 views
5.3: Region Bounded By 2 or 3 Simultaneous Inequalities (
Practice Test
)
Graphing System of Inequalities
1344 views
More on Graphing System of Inequalities
962 views
Problem1-Graphing System of Inequalities
1033 views
5.4: Problem Constraints
Problem1-Introducing Problem Constraints in Inequality
1102 views
P1a-More on Introducing Problem Constraints in Inequality
481 views
5.5: Feasible Solution Set (
Practice Test
)
Feasible Solution in Inequality
1937 views
More on Feasible Solution in Inequality
920 views
Problem1-Feasible Solution in Inequality
692 views
Problem1a-More on Feasible Solution in Inequality
473 views
5.6: Linear Programming
Linear Programming
1038 views
5.7: Linear Programming Problems (
Practice Test
)
Procedure For Determining Optimal Solution
861 views
More on Procedure For Determining Optimal Solution
592 views
Problem Solving in Linear Programming
528 views
More on Problem Solving in Linear Programming
440 views
Problem1-Procedure For Determining Optimal Solution
472 views
Problem1-More on Procedure For Determining Optimal Solution
307 views
Problem2-Procedure For Determining Optimal Solution
415 views
Problem2-More on Procedure For Determining Optimal Solution
265 views
Problem3-Procedure For Determining Optimal Solution
357 views
Problem3-More on Procedure For Determining Optimal Solution
216 views
Problem4-Procedure For Determining Optimal Solution
357 views
Problem4-More on Procedure For Determining Optimal Solution
242 views
Chapter 6 Conic Section (
157 videos
)
(
Practice Test
)
6.1: Introduction (
Practice Test
)
Introduction to Conic Section
7473 views
More on Introduction to Conic Section
3999 views
Standard Form of Equation of Circle
4317 views
General Form of Equation of Circle
5516 views
More on General Form of Equation of Circle
2846 views
Equation of Circle Passing Though Three Non-Collinear Points
2102 views
More on Equation of Circle Passing Through 3 Non-Collinear Points
1460 views
Equation of Circle Passing Through 2 Points and its Centre on Line
2842 views
Equation-Circle Passing Though 2 Points with 1 Tangential Point
2326 views
Equation-Circle Passing Though 2 Points with 1 Tangential Point-1
1626 views
Equation-Circle Passing Through 2 Points and Line
2456 views
Equation-Circle Passing Through 2 Points and Line
1897 views
6.2: Tangents and Normals (
Practice Test
)
Equation of Tangent to Circle
4675 views
More on Equation of Tangent to Circle
2047 views
Problem1- Equation of Tangent to Circle
1691 views
Problem2a-Equation of Tangent to Circle
1112 views
Problem2b-Equation of Tangent to Circle
935 views
Equation of Normal to Circle
1823 views
Problem-Points Lie Inside, Outside or on the Circle
732 views
Points Lie Inside, Outside or on the Circle
884 views
More on Points Lie Inside, Outside or on the Circle
337 views
Line Intersects Circle at Most 2 Points
1094 views
Condition that Line may be Tangent to Circle
1591 views
6.3: Analytical Proofs of Important Properties of a Circle (
Practice Test
)
Proof-2 Tangents can be Drawn to Circle from Point
1036 views
More on Proof-2 Tangents can be Drawn to Circle from Point
780 views
Length of Tangent to Circle
2201 views
To Prove Circles Diameter is 2 Times its Radius
773 views
Chords Perpendicular Passes Centre of Circle
905 views
More on Chords Perpendicular Passes Centre of Circle
695 views
Line From Centre and Midpoint of Chord is Perp to it
552 views
More on Line From Centre and Midpoint of Chord is Perp to it
451 views
Congruent Chords are Equidistance from Centre of Circle
580 views
More on Congruent Chords are Equidistance from Centre of Circle
467 views
Angle in Semi-Circle is Right Angle
723 views
More on Angle in Semi-Circle is Right Angle
490 views
Perpendicular Radial Segment is Tangent to Circle
747 views
More on Perpendicular Radial Segment is Tangent to Circle
463 views
Tangent to Circle is Perpendicular to Radial Segment
538 views
6.4: Parabola (
Practice Test
)
Introduction to Parabola
4709 views
More on Introduction to Parabola
2502 views
Terms Related to Parabola
2339 views
General Form of Equation of Parabola
2789 views
Other Standard Parabola
1311 views
Graph of Parabola Facing Upward
1179 views
Graph of Parabola Facing Downward
1064 views
Graph of Parabola Facing Rightward
601 views
Graph of Parabola Facing Leftward
570 views
Problem Related with Parabola
1328 views
Parabola with Vertex not at Origin
1822 views
More on Parabola with Vertex not at Origin
881 views
Problem-Parabola with Vertex not at Origin
879 views
Graphing Parabola with Vertex not at Origin
886 views
More on Graphing Parabola with Vertex not at Origin
580 views
Finding Equation of Parabola with Focus and Vertex
1498 views
Finding Equation of Parabola with Directrix and Vertex
1108 views
Problem1-Finding Equation of Parabola with Focus and Vertex
966 views
Problem2-Finding Equation of Parabola with Vertex and Directrix
576 views
Problem3-Finding Equation of Parabola with Focus and Directrix
608 views
6.5: Ellipse and Its Elements (
Practice Test
)
Obtaining Standard Equation of Ellipse
2481 views
More on Obtaining Standard Equation of Ellipse-1
1573 views
More on Obtaining Standard Equation of Ellipse-2
1104 views
More on Obtaining Standard Equation of Ellipse-3
853 views
Circle as Special Case of Ellipse
935 views
Basic Terms Associated with Ellipse
970 views
More on Basic Terms Associated with Ellipse
577 views
Standard Form of Vertical and Horizontal Ellipses
826 views
Problem1-Standard Form of Vertical and Horizontal Ellipses
577 views
Translation of Horizontal Ellipse
719 views
Translation of Vertical Ellipse
482 views
More on Translation of Vertical Ellipse
373 views
Equation of Ellipse with Foci and Vertices
578 views
Problem1-Equation of Ellipse with Foci and Vertices
600 views
Problem3-Equation of Ellipse with Foci and Vertices
491 views
Ellipse Equation with Centre and Length of Axes
471 views
Ellipse Equation with Centre and Given Point
460 views
More on Ellipse Equation with Centre and Given Point
388 views
Ellipse Equation with Vertices and Eccentricity
228 views
Ellipse Equation with Vertices & Length of Semi-minor Axis
233 views
6.6: Hyperbola and Its Elements (
Practice Test
)
Defining Hyperbola
1381 views
Standard Form of Equation of Hyperbola
3123 views
More on Standard Form of Equation of Hyperbola
806 views
More on Standard Form of Equation of Hyperbola
694 views
Asymptotes of Hyperbola
1921 views
Foci of Hyperbola
596 views
More on Foci of Hyperbola
411 views
Problem1-Foci of Hyperbola
424 views
Horizontal Hyperbola
449 views
More on Horizontal Hyperbola
473 views
Rectangular Hyperbola
1699 views
Graphing Hyperbola
396 views
More on Graphing Hyperbola
310 views
Problem1-Graphing Hyperbola
307 views
More on Problem1-Graphing Hyperbola
288 views
Hyperbola with Focus and Eccentricity
483 views
Graphing Hyperbola with Eccentricity and Latus Rectum
743 views
Graphing Hyperbola with Focus and Directrix
470 views
Translation of Hyperbola with Horizontally
360 views
More on Translation of Hyperbola with Horizontally
269 views
Translation of Vertical Hyperbola
332 views
More on Translation of Vertical Hyperbola
131 views
6.7: Tangents and Normals (
Practice Test
)
Intersection of Line and Parabola
1171 views
More on Intersection of Line and Parabola
505 views
Equation of Tangent Line to Parabola in Slope Form
755 views
Equation of Tangent Line to Parabola at Given Point
2522 views
More on Equation of Tangent Line to Parabola at Given Point
232 views
Problem-Equation of Tangent Line to Parabola at Given Point
750 views
Equation of Normal Line to Parabola at Given Point
914 views
Problem1-Equation of Normal Line to Parabola at Given Point
453 views
Application of Parabola-Suspension Related Problem
442 views
Reflecting Property of Parabola
891 views
Use of Parabola on Everyday Life-Problem
453 views
Points of Intersection of Line and Ellipse
845 views
More on Points of Intersection of Line and Ellipse
403 views
Condition of Tangency of Line to Ellipse
1006 views
Equation of Tangent to Ellipse at Point
1090 views
More on Equation of Tangent to Ellipse at Point
378 views
Equation of Normal to Ellipse at Point
866 views
More on Equation of Normal to Ellipse at Point
589 views
Problem1a-Equation of Normal to Ellipse at Point
349 views
Problem1b-Equation of Normal to Ellipse at Point
295 views
Graph of Ellipse
290 views
More on Graph of Ellipse
233 views
Point of Intersection of Line with Hyperbola
729 views
Condition of Tangency of Line to Hyperbola
532 views
Problem- Condition of Tangency of Line to Hyperbola
398 views
Equation of Tangent Line to Hyperbola at Point
1289 views
More on Equation of Tangent Line to Hyperbola at Point
556 views
Problem- Equation of Tangent Line to Hyperbola at Point
604 views
Equation of Normal Line to Hyperbola at Point
734 views
More on Equation of Normal Line to Hyperbola at Point
263 views
Intersection of Two Conics
809 views
More on Intersection of Two Conics
144 views
Problem1a-Intersection of Two Conics
218 views
Problem1b-Intersection of Two Conics
111 views
6.8: Translation and Rotation of Axes (
Practice Test
)
Translation of Axes
4016 views
Problem1-Translation of Axes
898 views
Problem2-Translation of Axes
281 views
Rotation of Axes
4128 views
Problem1-Rotation of Axes
471 views
More on Rotation of Axes
272 views
Rotation of Conic
368 views
More on Rotation of Conic
237 views
Problem1a-Rotation of Conic
239 views
Problem1b-Rotation of Conic
181 views
Problem1c-Rotation of Conic
187 views
Problem1d-Rotation of Conic
198 views
Problem2a-Rotation of Conic
202 views
Problem2b-Rotation of Conic
208 views
6.9: The General Equation of Second Degree (
Practice Test
)
General Degree of 2nd Degree Equation-Circle
2082 views
General Degree of 2nd Degree Equation-Ellipse
1163 views
General Degree of 2nd Degree Equation-Hyperbola
490 views
General Degree of 2nd Degree Equation-Parabola
1160 views
Classification of Conic by Discriminant
503 views
Finding Angle of Rotation in Conic
579 views
More on Finding Angle of Rotation in Conic
214 views
Further stuff on Finding Angle of Rotation in Conic
153 views
Problem1-Finding Angle of Rotation in Conic
195 views
Chapter 7 Vectors (
116 videos
)
(
Practice Test
)
7.1: Introduction (
Practice Test
)
Scalar and Vector Quantities
4744 views
Problem-Scalar and Vector Quantities
1988 views
Terminologies and Notations of Vectors
2088 views
Equal Vectors
1850 views
Vectors which are Opposite
1132 views
Problem-Vectors which are Opposite
705 views
Column Vectors
1185 views
Addition of Vectors
2680 views
Problem-Addition of Vectors
606 views
Vector Addition is Associative
539 views
Problem-Vector Addition is Associative
490 views
Zero Vectors
884 views
Subtraction of Vectors
862 views
Problem-Subtraction of Vectors
421 views
Scalar Multiple of a Vector
970 views
Problem-Scalar Multiple of a Vector
486 views
Expression of a Given Vector in Terms of two Vectors
943 views
Problem-Expression of a Given Vector in Terms of two Vectors
372 views
Position Vectors
1657 views
Problem-Position Vectors
540 views
Properties of Magnitude of Vector
1081 views
Problem-Properties of Magnitude of Vector
662 views
Notation for Representing Vectors in Plane
487 views
Problem-Notation for Representing Vectors in Plane
345 views
Components of a Vector
610 views
Properties of Vectors in Plane
492 views
More on Properties of Vectors in Plane
350 views
A Unit Vector in the Direction of Another Vector
633 views
Problem-A Unit Vector in the Direction of Another Vector
446 views
Notation for Vectors in Coordinate System
427 views
Problem-Notation for Vectors in Coordinate System
357 views
The Ratio Formula in Vector
912 views
Problem1-The Ratio Formula in Vector
528 views
Problem2-The Ratio Formula in Vector
297 views
Mid-Point Theorem By Vectors
835 views
Diagonals of Parallelogram Bisect Each Other by Vectors
1976 views
Ratio Theorem By Vectors
939 views
Problem-Ratio Theorem By Vectors
421 views
7.2: Introduction of Vector in Space (
Practice Test
)
Introducing Vector Geometry
1394 views
Problem-Introducing Vector Geometry
523 views
Concept of Vector in Space
741 views
Problem-Concept of Vector in Space
456 views
More on Vectors in Space
448 views
Properties of Vectors
490 views
Problem-Properties of Vectors
254 views
Vectors Addition in Space
248 views
Problem-Vectors Addition in Space
202 views
Scalar Multiplication in Space
247 views
Problem-Scalar Multiplication in Space
214 views
Notation of Vectors in Space
272 views
Problem-Notation of Vectors in Space
249 views
Distance Between Two Points in Space
586 views
Problem-Distance Between Two Points in Space
397 views
Direction Angles and Direction Cosines of Vector
1291 views
Problem-Direction Angles and Direction Cosines of Vector
567 views
7.3: The Scalar Product of Two Vectors (
Practice Test
)
Scalar Product of Two Vectors
897 views
Problem-Scalar Product of Two Vectors
435 views
Properties of Scalar Product
763 views
More on Properties of Scalar Product
279 views
Problem-Properties of Scalar Product
287 views
Perpendicular Vectors
305 views
Problem-Perpendicular Vectors
300 views
Parallel Vectors
635 views
Problem-Parallel Vectors
472 views
Scalar Product of Vectors in Their Component Form
302 views
Problem-Scalar Product of Vectors in Their Component Form
253 views
Angle Between Two Vectors
451 views
Problem-Angle Between Two Vectors
295 views
Projection of One Vector Upon Another Vector
560 views
Problem-Projection of One Vector Upon Another Vector
317 views
Application of Scalar Product
518 views
Problem-Application of Scalar Product
249 views
Application of Scalar Product on Geometry
318 views
Problem-Application of Scalar Product on Geometry
337 views
More on Application of Scalar Product on Geometry
294 views
7.4: Cross Product or Vector Product of Two Vectors (
Practice Test
)
Cross Product of Two Vectors
927 views
Problem-Cross Product of Two Vectors
466 views
Derivation of Useful Results of Cross Product
342 views
Problem-Derivation of Useful Results of Cross Product
256 views
Expression of Cross Product in Terms of Components
303 views
Problem-Expression of Cross Product in Terms of Components
238 views
More on Cross Product of Two Vectors
413 views
Properties of Cross Product
386 views
Problem-Properties of Cross Product
211 views
More on Properties of Cross Product
253 views
More on Expression of Cross Product in Terms of Components
273 views
Direction Numbers or Direction Ratios
771 views
Problem-Direction Numbers or Direction Ratios
492 views
Collinear and Coplanar Vectors
2788 views
Problem-Collinear and Coplanar Vectors
684 views
Vectors Application to Geometry
529 views
Problem1-Vectors Application to Geometry
311 views
Problem2-Vectors Application to Geometry
271 views
Moment of Force
643 views
Problem-Moment of Force
275 views
Condition of Parallel Vectors in Cross Product
423 views
Problem-Condition of Parallel Vectors in Cross Product
152 views
Area of Parallelogram by Vectors
521 views
Area of Triangle by Vectors
520 views
Vector Equation of Line in 3D
160 views
Problem-Vector Equation of Line in 3D
114 views
Application of Vector Equation
196 views
Problem1-Application of Vector Equation
152 views
Problem2-Application of Vector Equation
151 views
7.5: Scalar Triple Product of Vectors (
Practice Test
)
Scalar Triple Product
1734 views
Problem-Scalar Triple Product
431 views
Vector Triple Product
1761 views
More on Vector Triple Product
300 views
Analytical Expression of Triple Product
330 views
Problem-Analytical Expression of Triple Product
274 views
Volume of Parallelepiped by Triple Product
803 views
Problem-Volume of Parallelepiped by Triple Product
271 views
Volume of Tetrahedron by Triple Product
3266 views
Problem-Volume of Tetrahedron by Triple Product
415 views
Properties of Scalar Triple Product
376 views
Problem-Properties of Scalar Triple Product
342 views
Facebook
Twitter
Instagram
Youtube
Linkedin