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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1
Let f(x)=x2+px+qf(x)=x^2+p x+q. The value of (p,q)(p, q) so that f(1)=3f(1)=3 is an extreme value of ff on [0,2][0,2] is
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Correct option: C
(−2,4)(-2,4)
Option C ((-2,4)) is correct because the given conditions f(1)=3 and f'(1)=0 lead to p=-2 and q=4.

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