Theory of Quadratic Equations

Chapter 2: Theory of Quadratic Equations (49 videos)   (Practice Test)

2.1: Nature of the Roots of a Quadratic Equation(Practice Test)

1. Discriminant of Quadratic Expression
2. Problem 1: Discriminant of Quadratic Expression
3. Finding Discriminant of Quadratic Equation
4. Problem 1: Finding Discriminant of Quadratic Equation
5. Nature of the Roots of a Quadratic Equation
6. Problem 1: Nature of the Roots of a Quadratic Equation
7. Verification of Nature of Roots of Equation
8. Finding s when Nature of Roots is given
9. Finding s when Nature of Roots is given
10. Problem 1: Finding s when Nature of Roots is given

2.2: Cube Roots of Unity and Their Properties(Practice Test)

1. The Cube Roots of Unity
2. Problem 1: The Cube Roots of Unity
3. Recognise Complex Cube Roots of Unity
4. Properties of Cube Roots of Unity
5. Problem 1: Properties of Cube Roots of Unity
6. Problems on Cube Roots of Unity
7. Problem 1: Problems on Cube Roots of Unity

2.3: Roots and Co-Efficients of a Quadratic Equation(Practice Test)

1. Roots & Coefficients of Quadratic Equation
2. Problem 1: Roots & Coefficients of Quadratic Equation
3. Finding Sum of Roots from Their Product
4. Problem 1: Finding Sum of Roots from Their Product
5. Finding Sum of Roots from Their Square
6. Problem 1: Finding Sum of Roots from Their Square
7. Two Roots Differ by a Given Number
8. Roots Satisfy a Given Relation
9. Sum & Product of Roots Equal to a Number.

2.4: Symmetric Functions of the Roots of a Quadratic Equation(Practice Test)

1. Symmetric Functions of Roots Equation
2. Problem 1: Symmetric Functions of Roots Equation
3. More on Symmetric Functions of Roots Equation

2.5: Formation of a Quadratic Equation(Practice Test)

1. Find a Quadratic Equation from Given Roots
2. Form Quadratic Equations Whose Roots are Given
3. Problem 1: Form Quadratic Equations Whose Roots are Given

2.6: Synthetic Division(Practice Test)

1. Synthetic Division Method
2. Finding Quotient & Remainder
3. Problem 1: Finding Quotient & Remainder
4. Finding s when Zeros of a Polynomial are Given
5. Finding s when Factors of a Polynomial are Given
6. Solve a Cube Equation, If a Root of Equation is Given
7. Problem 1: Solve a Cube Equation, If a Root of Equation is Given
8. Solving Quartic Equation, If Roots are Given
9. Problem 1: Solving Quartic Equation, If Roots are Given

2.7: Simultaneous Equations(Practice Test)

1. Solving Simultaneaous Quadratic Equations
2. Problem Leading to Quadratic Equations.
3. Problem 1: Problem Leading to Quadratic Equations.
4. Theorey of Quadratic Equations-Miscellaneous-Exercise-2-Question 1
5. Theorey of Quadratic Equations-Miscellaneous-Exercise-2-Question 2 Pa
6. Theorey of Quadratic Equations-Misc-Exercise-2-Question 2 Part 8 to 11
7. Theorey of Quadratic Equations-Misc-Exercise-2-Question 2 Part 12 to
8. Theorey of Quadratic Equations-Misc-Exercise-2-Question 3 Complete