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

Let f(x)=sqrt(log_(10)x^(2)) then the set of all values of x for which f(x) is real is

Let f(x) = cos(x) + cos(sqrt(3)x) AA x in R . The number of values of x for which f(x) is maximum is

Let f (x) is a real valued function defined on R such that f(x) = sqrt(4+sqrt(16x^2 - 8x^3 +x^4)) . The number of integral values of 'k' for which f(x) =k has exactly 2 distinct solutions for k in [0,5] is

If f(x) = sinx + cos ax is a periodic function then a cannot be

Let f(x)=4cos sqrt(x^(2)-(pi^(2))/(9)) Then the range of f(x) is

Let f:R rarr(0,(2 pi)/(2)] defined as f(x)=cot^(-1)(x^(2)-4x+alpha) Then the smallest integral value of alpha such that,f(x) is into function is

Let f(x)=sin ax+cos bx be a periodic function,then

Let f(x)=cos sqrt(x) where p=[a] where [x] is the integral part of x if the period of f(x) is pi, then a in

Let f(x)=cos sqrt(p)x where P=[a] (integral part).If the period of f(x) is pi then a in