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JEE MATHEMATICS MCQ: THEORY OF EQUATION

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Application +4 | -1
Let p,  q∈Rp,\,\,q \in R. If 2−32 - \sqrt 3 is a root of the quadratic equation, x2+px+q=0,{x^2} + px + q = 0, then
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Correct option: B
p2−4q−12=0,{p^2} - 4q - 12 = 0,
Option B (p2−4q−12=0,{p^2} - 4q - 12 = 0,) is correct because, given that 2−32 - \sqrt 3 is a root, we can find the other root, determine p and q, and verify the relationship.

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