If `f: x: -1 leq x leq 1 -> {x : -1 leq x leq 1}`, then which is/are bijective

If R_i={x in R: 1 leq x leq 1+1/i} then nn_(i=1)^5 R_i=

If int_0^a xdx leq a+4 then

If sin2x=cos3x and 0 leq x lt pi/2 then x=

Let f(x)=1+x , 0 leq x leq 2 and f(x)=3−x , 2 lt x leq 3 . Find f(f(x)) .

If f(x) = {sinx , x lt 0 and cosx-|x-1| , x leq 0 then g(x) = f(|x|) is non-differentiable for

If sin theta- cos theta=0, ( 0 leq theta leq 90^@) then theta=

If f(x)=sgn(x-2) xx [In x], 1leq x leq 3 and {x^2} ,-3 lt x leq 3.5 where [.] denotes the greatest integer function and {.} represents the fractional part functon, then the number of points of discontinuity in [1,3.5] is

If |z+4| leq 3 then the maximum value of |z+1| is

f(x) = 1 + [cosx]x in 0 leq x leq pi/2 (where [.] denotes greatest integer function) then

cos9x cos7x=cos5x cos3x; -pi/4 leq x leq pi/4