Q.38 let f: [0, 1] > r be twice continuously differentiable function such that f"(a)- f(a) <0, vz e (0,1) and f(0) = f(1) = 0, then which of the following state

Q.38 Let f: [0, 1] > R be twice continuously differentiable function such that f"(a)- f(a) <0, Vz E (0,1) and f(0) = f(1) = 0, then which of the following statements is/are true about f? (a) fhas atleast one zero in (0,1) (b) f has atleast two zeroes in (0,1) (c)f) > 0,vx E (0,1) (d) fc) <0, vx € (0,1)