If $\sin \alpha$ and $\cos \alpha$ are the roots of the equation $p x^2+q x+r$ $=0$ then $q^2$ is equal to
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If $\sin \alpha$ and $\cos \alpha$ are the roots of the equation $p x^2+q x+r$ $=0$ then $q^2$ is equal to

(A) $p^2-2 p r$

(B) $p^2+2 p r$

(C) $p^2-p r$

(D) $p^2+p r$

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Best answer

If $\sin \alpha$ and $\cos \alpha$ are the roots of the equation $p x^2+q x+r$ $=0$ then $q^2$ is equal to $p^2+2 p r$. So, The correct option of this question will be (B).

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