JEE MATHEMATICS MCQ: MEAN VALUES THEOREM

1 Easy

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Application +4 | -1

If Rolle’s theorem hold for the function

f\left( x \right) = {x^3} - a{x^2} + bx + 4,\,\,x \in \left[ {1,2} \right]

with

f'\left( {\frac{4}{3}} \right) = 0

, then ordered pair

\left( {a,\,b} \right)

is equal to

View answer and explanation

Correct option: A

\left( {5,\,8} \right)

Option A (5,8) is correct because it satisfies the conditions of Rolle's theorem for the given function.

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