The no of integral values of n such that sinx(cosx +sinx)= n has atleast one solution is

A.0

B.2

C.4

D.1

Obviously RHS is less than 3/2 and greater than -1/2 ( we know this because we have considered extreme values of sinxcosx and sin^2x). But n being an integer can be 0 or 1, which are both attained at x= 0 and x=pi/2

So number of integral values of n is 2