How many quadratic equations have the sum of the roots equal to the product of the roots?

Question of The Day11-04-2022

Answer

Correct Answer : d ) Infinitely many

Explanation :

Let us suppose the quadratic equation is

ax² + bx + c = 0

We know that,

Sum of roots = -b/a

Product of roots = c/a

It is given that, Sum of roots = Product of roots\

-b/a = c/a

c = -b

We can have infinitely many equations as we want with c = - b

Hence, (d) is the correct answer.

This question was asked in the CDS 1 2022 maths question paper held on 10 April 2022. You can also check the CDS 2022 Answer key.

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