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JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Application +4 | -1
The value of k(k>0)k(k>0) for which the equations x2+kx+64=0x^2+k x+64=0 and x2−8x+k=0x^2-8 x+k=0, both will have real roots is
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Correct option: A
16
Option A (16) is correct because for both quadratic equations to have real roots, their discriminants must be non-negative, leading to k=16k=16 as the only positive solution that satisfies both conditions.

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