If , are the roots of x^2 + px + q = 0 and , are the roots of x^2 + px - r = 0 then - - - - is equal to

JEE Advanced Mathematics question

If are the roots of and are the roots of then is equal to

Answer: (A)

With , :

(α - γ)(α - δ) = α^2 - α(γ + δ) + γδ = α^2 + pα - r = -q - r,

because $α^2 + pα +

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Question ID VK-110034