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Let f(x)=sinx+cos(sqrt(4-a^(2)))x. Then,...

Let `f(x)=sinx+cos(sqrt(4-a^(2)))x`. Then, the integral values of 'a' for which f(x) is a periodic function, are given by

A

{2,-2}

B

(-2,2]

C

[-2,2]

D

None of these

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The correct Answer is:
D
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ARIHANT MATHS-FUNCTIONS-Exercise (Questions Asked In Previous 13 Years Exam)
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  14. The range of the function f(x)=(x^2+x+2)/(x^2+x+1),x in R , is (1,oo)...

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  15. If f:[0,infty) rarr [0,infty) " and " f(x)=x/(1+x), then f is

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  19. If f:[1,infty) rarr [2,infty) is given by f(x)=x+1/x, " then " f^(-1)(...

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  20. Let f(x0=(1+b^(2))x^(2)+2bx+1 and let m(b) be the minimum value of f(x...

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  21. The domain of definition of function of f(x)=(log(2)(x+3))/(x^(2)+3x+2...

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