Question

Let f be a continuous function defined on [0, 1] such that ∫f²(x) x ∈[0,1] dx = (∫s(x)  x ∈[0,1])²

Then the range of f

(A)  has exactly two points

(B)  has more than two points

(C)  is the interval [0, 1]

(D)  is a singleton 

Answer 1

Correct option (D) is a singleton

Explanation:

By Cauchy Schwarz inequality