If a and b are natural numbers and `f(x)=sin(sqrt(a^2-3))x+cos(sqrt(b^ – InterviewSolution

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1.	If a and b are natural numbers and `f(x)=sin(sqrt(a^2-3))x+cos(sqrt(b^2+7))x` is periodic with finite fundamental period then period of f(x) isA. `pi`B. `2pi`C. `2pi(sqrt(a^(2)-3)+sqrt(b^(2)+7))`D. `pi(sqrt(a^(2)-3)+sqrt(b^(2)+7))`
Answer» Correct Answer - B Since the function is periodic, `a^(2)-3 and b^(2)+7` should be perfect square, which is possible only if a = 2, b = 3 in which case `f(x) = sin x +cos 4x`, which has periodic with `2pi`.

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