Statement I If both roots of the equation 4x^2 - 2x + a = 0, a ∈ R lie in the interval (-1, 1)

Question

Each of these question contains two statements: 

Statement I (Assertion) and Statement lI (Reason). Each of these questions also has four alternative choices, only and of which is the correct answer. you have to select and of the codes (a), (h), (c), (d) given below.

(a) Statement I is false, Statement Il is true

(b) Statement I is true, Statement Ii is true; Statement II is a correct explanation of Statement I

(c) Statement I is true, Statement II is true; Statement II is not a correct explanation of Statement I

(d) Statement I is true, Statement lI is false

Statement I If both roots of the equation 4x² - 2x + a = 0, a ∈ R lie in the interval (-1, 1), then -2 < a ≤ 1/4.

Statement II If f(x) = 4x² - 2x + a, then D ≥ 0, f(-1) > 0 and f(1) > 0⇒ -2 < a ≤ 1/4.

Answer 1

Correct Option (b) Statement I is true, Statement Ii is true; Statement II is a correct explanation of Statement I

Explanation: