Q UADRATIC E QUATIONS  Activity  Assess Knowledge Class X / Term II / Math 1 Creative Commons License Content Sourced and Aggregated by Centre for Positive Learning Supported by TCS iON Learning Exchange

A CTIVITY Topic To verify the relation between roots and coefficient of a quadratic equation. Objective After performing this activity, the learner will be able to establish the relation between the roots and coefficients of a quadratic equation. 2 Class X / Term II / Math

A CTIVITY C ONTD … Pre-requisite knowledge (i) Quadratic equation of the type ax 2 + bx + c = 0, a ≠0 (ii) Roots of a quadratic equation. Material required (i) Chart paper (ii) Pencil and eraser 3 Class X / Term II / Math

A CTIVITY C ONTD … Steps to perform the activity Write different quadratic equations with their roots. e.g roots (i) x 2 – 5x+ 6=0 2,3 (ii) x 2 – x - 6=0 3,-2 (iii) 4x 2 – 8x + 3 = 0 3/2, 1/2 (iv) x 2 – 4x+ 1=0 2 +  3, 2,−  3 (v) x 2 + 8x+15=0 -3, - 5 Verify the roots by substituting in the corresponding quadratic equation 4 Class X / Term II / Math

A CTIVITY C ONTD … Prepare the following table on Chart paper 5 Class X / Term II / Math

A CTIVITY C ONTD … Conclusion : In a quadratic equation ax 2 + bx + c = 0,a ≠0 6 Class X / Term II / Math

A CTIVITY C ONTD … Remarks : Result of this activity can be used in the following. (i) Forming quadratic equation when the roots are given. (ii) Finding the sum and product of roots of a quadratic equation, without actually finding the roots. 7 Class X / Term II / Math

A SSESS K NOWLEDGE CCE Questions (5 Marks) 1. The roots of the equation ax 2 +x+b=0 are equal if _______________. 2. The roots of the equation 3x 2 -4x+3=0 are __________________. 3. The roots of the equation x 2 + x – p(p +1) = 0, where p is a constant, are ______________. 4. A ___________________ determines nature of roots of equation ax 2 + bx + c=0, 5. A quadratic equation ax 2 + bx + c = 0 has no real root, if _____________. 8 Class X / Term II / Math