How many quadratic equations have the sum of the roots equal to the product of the roots?
Correct Answer : d ) Infinitely manyExplanation :
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.