Question

Statement-1: If px² + qx + r = 0 is a quadratic equation (p, q, r∈R) such that its roots are α, β & p + q + r < 0, p – q + r < 0 & r > 0, then 3[α] + 3[β] = −3, where [⋅] denotes G.I.F. 

Statement-2: If for any two real numbers a & b, function f(x) is such that f(a).f(b) < 0 ⇒ f(x) has at least one real root lying between (a, b) 

(A) Statement – 1 is True, Statement – 2 is True; Statement – 2 is a correct explanation for Statement – 1. 

(B) Statement – 1 is True, Statement – 2 is True; Statement – 2 is NOT a correct explanation for Statement – 1.

(C) Statement – 1 is True, Statement – 2 is False. 

(D) Statement – 1 is False, Statement – 2 is True

Answer 1

Correct option  (A) Statement – 1 is True, Statement – 2 is True; Statement – 2 is a correct explanation for Statement – 1.

Explanation:

Both Statement-1 and Statement-2 are true and Statement-2 is the correct explanation of Statement-1.