Correct option (A) → (p), (B) → (t), (C) → (t), (D) → (t)
(B) 2[x] = x + 2 {x}
(i) If x is an integer, then the equation becomes 2x = x + 0 That is, x = 0 is a solution
(ii) If x Ι, the equation becomes
Therefore, there are 3 solutions
(C) Let x = cosθ , y = sin θ.
Therefore, x + y = cos θ + sin θ.
Therefore, maximum value of x + y is √2.
Therefore, f(x) is periodic with period 3.