Statement I: f(x) = 4√2x^3 - 3√2x - 1 = 0 has only one solution in x ∈ (1/2, 1)

Question

Statement I: f(x) = 4√2x³ - 3√2x - 1 = 0 has only one solution in \(x \in (\frac 12, 1)\)

Statement- II: cos\(\frac \pi {12}\) is a solution of f(x) = 0

(1) Statement-1 is true & Statement-2 is true

(2) Statement-1 is true & Statement-2 is false

(3) Statement-1 is false & Statement-2 is true

(4) Statement-1 is false & Statement-2 is false

Answer 1

(1) Statement-1 is true & Statement-2 is true