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Suppose f is continuous on [a, b], diffe...

Suppose f is continuous on [a, b], differentiable on (a, b) and satisfies `f^(2) (a) - f^(2)(b) = a^(2) - b^(2)`. In (a, b) the equation `f(x).f'(x) = x` has

A

no root

B

at least one root

C

exactly one root

D

nothing definite can be said

Text Solution

Verified by Experts

The correct Answer is:
B
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