Consider the statements :
P : There exists some x R such that f(x) + 2x = 2(1 + x2)
Q : There exists some x R such that 2f(x) + 1 = 2x(1 + x)
Then
(A) both P and Q are true
(B) P is true and Q is false
(C) P is false and Q is true
(D) both P and Q are false