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The value of 'a' for which the function ...

The value of 'a' for which the function f(x) =`a sin x+1/3 sin 3x` has an extremum at `x=pi//3` is

A

1

B

`-1`

C

0

D

2

Text Solution

Verified by Experts

The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1E (MAXIMA AND MINIMA)
  1. The turning values of x^3-3px+q(p gt 0) are

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  2. If x=-1 and x=2 are extreme points of f(x) = alpha log |x|+betax^2+x t...

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  3. The value of 'a' for which the function f(x) =a sin x+1/3 sin 3x has a...

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  4. The set of all values of a for which the functioln f(x) =(a^2-3a+2) (c...

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  5. The minimum value of (x-alpha)(x-beta) is

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  6. The minimum values of x^3-9x^2+24x-12 is

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  7. If xgt 0 the minimum value of x^x is

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  8. The maximum value of x/(1+x^2) is

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  9. The absolute maximum of y=x^3-3x+2 "in" 0 le x le 2 is

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  10. The maximum value of f(x) =2x^3-21x^2+36x+20 , in the interval 0 le x ...

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  11. If m,n are positive integers, maximum value of x^m(a-x)^n "in" (0,a) i...

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  12. If n is positive integer then greatest value of x(a-x)^n on (0,a) is

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  13. If A gt 0, b gt 0 and A+B =pi//3, then the maximum value of tan A tan ...

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  14. If x gt 0 , the maximum value of (log x) /x is

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  15. The maximum value of x^(-x) is

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  16. The maximum value of x^3-3x in [0,2] is

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  17. The maximum value of (x-1)(x-2) (x-3)is

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  18. The maximum value of x^4+3x^3-2x^2-9x+6 is

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  19. The maximum value of x/(1+x^2) is

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  20. Find the least and the greatest value of 2sin x + sin 2x over [0, 2pi]...

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