JEE MATHEMATICS MCQ: MEAN VALUES THEOREM

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1 of 1

Application +4 | -1

If the function

f\left( x \right) = a{x^3} + b{x^2} + 11x - 6

satisfies the condition of Rolle’s theorem in [1, 3] and

f'\left( {2 + \frac{1}{{\sqrt 3 }}} \right) = 0

, then the values of

a,b

are respectively

View answer and explanation

Correct option: C

1, - 6

Option C (

1, - 6

) is correct because these values of a and b satisfy the conditions of Rolle's theorem and the given derivative condition.

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