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JEE MATHEMATICS MCQ: MEAN VALUES THEOREM

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Application +4 | -1
The value of c prescribed by Lagrange's mean value theorem, when f(x)=x2−4,a=2f(x)=\sqrt{x^2-4}, a=2 and b=3,b=3, is
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Correct option: B
5\sqrt{5}
Option B (5\sqrt{{5}}) is correct because it is the value of c that satisfies Lagrange's Mean Value Theorem for the given function and interval.

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