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Chapter 2: Theory of Quadratic Equations (43 videos)

2.1: Nature of the Roots of a Quadratic Equation
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. Problem 1: Finding s when Nature of Roots is given
 
2.2: Cube Roots of Unity and Their Properties
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
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.
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
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
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
1. Solving Simultaneaous Quadratic Equations
2. Problem Leading to Quadratic Equations.
3. Problem 1: Problem Leading to Quadratic Equations.
 

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