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The value of a for which the function f(...

The value of `a` for which the function `f(x)=asinx+(1/3)sin3x` has an extremum at `x=pi/3` is (a) 1 (b) `-1` (c) 0 (d) 2

A

3

B

`1//3`

C

2

D

`1//2`

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-MAXIMA AND MINIMA -Exercise
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  2. If f(x)=sin^6x+cos^6x , then which one of the following is false

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  3. The value of a for which the function f(x)=asinx+(1/3)sin3x has an ext...

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  4. If ax+b/x >= c for all positive x, where a, b, c > 0, then-

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  5. The greatest value of f(x)=cos(x e^([x])+7x^2-3x),x in [-1,oo], is (wh...

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  6. The points of extremum of phi (x)=int(1)^(x)e^(-t^(2//2)) (1-t^(2)) dt...

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  7. Let f(x)=int0^x (cost)/tdt Then at x=(2n+1)pi/2 f(x) has

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  8. It is given that at x=1 , the function x^4-62 x^2+a x+9 attains its ma...

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  9. The minimum value of (1+1/(sin^nalpha))(1+1/(cos^nalpha)) is

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  10. The minimum value of (x-a)(x-b) is

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  11. The altitude of a right circular cone of minimum volume circumscired a...

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  12. If (x-a)^(2m) (x-b)^(2n+1), where m and n are positive integers and a...

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  13. If (x-a)^(2m) (x-b)^(2n+1), where m and n are positive integers and a...

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  14. In a triangleA B C ,/B=90^0 and b+a=4. The area of the triangle is ma...

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  15. The function f(x) given by f(x)=|{:(x-1", "x+1", "2x+1),(x+1", ...

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  16. Maximum area of a reactangle which can be inscribed in a circle of a...

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  17. If f(x)={:{(3x^2+12x-1"," -1le x le2),(37-x ","2 lt x le 3):} then

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  18. The perimeter of a sector is p. The area of the sector is maximum when...

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  19. If a^(2)x^(4)b^(2)y^(4)=c^(6)(a,b,x,y,cgt0) then the maximum value of ...

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  20. The function int(-1)^(x)t(e^t-1)(t-1)(t-2)^3(t-3)^5dt has local mini...

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