What are the sum and product of roots of a quadratic equation ax^2+bx+c=0?

Sum of roots equals negative b over a. Product of roots equals c over a.

If the roots of a quadratic equation are doubled, how do the new sum and product change?

The new sum becomes twice the original sum, but the new product becomes four times the original product, since product scales by the square of the scaling factor.

Quadratic Equations Class 10 Quiz Part 4 | HOTS & Vieta's Formulas MCQs

StudyBeacon · Class 10 Mathematics

Chapter 4: Quadratic Equations - Part 4 (20 HOTS MCQs on Vieta's Formulas)

This quiz covers sum and product of roots, symmetric function identities, and forming new equations from transformed roots. There's no fixed time limit, but a timer will track how long you take.

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