the equation of √3 sin x + cosx = 1+kis solvable only if k is in interval(a) (-3,1)(b) (-2,3)(c) [-2,3](d) [-3,1]

Hi there.. You can see that maximum value of the function is 2 and minimum is -2 .. It can accordingly be equated to 1+ k to get maximum and minimum value of k.. Option D will match.