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If a, b be two fixed positive integers such that `f(a+x)=b+[b^(3)+1-3b^(2)f(x)+3b{f(x)}^(3)-{f(x)}^(3)]^((1)/(3))` for all real x, then f(x) is a periodic function with period -

A

b

B

2b

C

2a

D

a

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The correct Answer is:
C
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 4
  1. The value of a for which the lines (x-5)/(5a+2)=(2-y)/(5)=(1-z)/(-1) ...

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  2. The equation of the plane passing through the point (1, -3, -2) and pe...

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  3. If a, b be two fixed positive integers such that f(a+x)=b+[b^(3)+1-3...

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  4. The derivative of the function (sec x+tan x)/(sec x-tanx) is -

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  5. If y=sin x^(@) and z=log(10)x, then the value of ( dy)/(dz) is -

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  6. The value of (d)/(dx) [ tan^(-1){(sqrt(x) (3-x))/(1-3x)}] is -

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  7. If x=sin t and y=cos p t, then which of the following is true ?

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  8. In the mean value theorem f(b)-f(a)=(b-a)f'(c )(a lt c lt b), if a=4,...

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  9. If the function f(x)=4x^(3)+ax^(2)+bx-1 satisfies all the conditions ...

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  10. The value of lim(x to 0)(e^(x)-log(e+ex))/(x) is -

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  11. Let f(x) ={{:((1-sin x)/(pi-2x)",","when" x ne (pi)/(2)),(lamda ",","w...

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  12. If (sqrt(x))^((sqrt(x))^((sqrt(x))^(...oo))) and x(dy)/(dx) =(f(y))/...

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  13. If x=e^(t)sint and y=e^(t)cost, then the value of (x+y)^(2)(d^(2)y)...

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  14. If y=f(x^(2)) and f'(x)=sqrt(3x^(2)+1) then the value of (dy)/(dx) a...

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  15. If x=sec theta-cos theta, y =sec^(n)theta-cos^(n) theta and (x^(2)+4...

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  16. If f(x) is a differentiable function for all x gt 0 and lim(y to x)(y...

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  17. If y^(2)=4ax, then the value of (d^(2)y)/(dx^(2))*(d^(2)x)/(dy^(2)) i...

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  18. The value of lim(n to oo) (1^(p)+2^(p)+3^(p)+…+n^(p))/(n^(p+1)) is -

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  19. The value of int(0)^(1.5)[x^(2)]dx is -

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  20. If I(n)=int(0)^((pi)/(4)) tan^(n)x dx, then the value of lim(n to oo...

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