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Nature of Roots

If the roots ...

Question

If the roots of an equation $p x^{2} + q x + r = 0$ are equal, then

A

q^{2} = p r

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B

q^{2} = 4 p r

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C

p^{2} = 4 q r

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D

p = q r

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Solution

The correct option is A $q^{2} = 4 p r$
For equal roots Discriminant has to be $0$
So $q^{2} - 4 p r = 0$
$\Rightarrow q^{2} = 4 p r$

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