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If `f(x) = x^(3) + bx^(2) + ax` satisfies the conditions of Rolle's theorem in [1, 3] with `c = 2 + (1)/sqrt(3)` then (a, b) is equal to

A

`(11,6)`

B

`(11,-6)`

C

`(-6,11)`

D

`(6,11)`

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The correct Answer is:
B
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AAKASH SERIES-MEAN VALUE THEOREMS-EXERCISE
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  6. Rolle's theorem cannot be applicable for

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  7. The value of 'c' in Lagrange's thorem for f(x) = lx^(2) + mx + n [l ne...

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  8. If f'(x) = (1)/(1+x^(2)) for all x and f(0) = 0, then:

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  9. Let f be a function which is continuous and differentiable for all rea...

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  10. In [0,1], Lagrange's mean value theorem is not applicable to (a) f(...

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  11. Let f(x) and g(x) be differentiable functions for 0 le x le 1 such t...

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  12. The value of 'a' for which x^(3) -3x +a=0 has two distinct roots in [...

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  13. Let R rarr R be a continuous function define by f(x ) =(1)/(e^(x)+2e) ...

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  14. The real number k for which the equation, 2x^(3)+3x+k=0 has two distin...

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  15. If f and 'g' are differentiable functions in [0, 1] satisfying f(0) = ...

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  16. If the Rolle's theorem holds for the function f(x) = 2x^(3) + ax^(2) +...

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  17. Let f(1)= -2 and f'(x ) ge 4.2 for 1 le x le 6 . The possible value o...

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  18. A value of c for which the conclusion of Mean Value Theorem holds for ...

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  19. If 2a + 3b + 6c = 0, then atleast one root of the equation ax^(2) + bx...

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