Statement–1 : If a ≥ 1/2 then α < 1 < p where α , β are roots o

1.	Statement–1 : If a ≥ 1/2 then α < 1 < p where α , β are roots of equation –x2 + ax + a = 0Statement–2 : Roots of quadratic equation are rational if discriminant is perfect square.(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» Correct option (B) Statement – 1 is True, Statement – 2 is True; Statement – 2 is NOT a correct explanation for Statement – 1. Explanation: x² – ax – a = 0 g(1) < 0 => a > 1/2

Statement–1 : If a ≥ 1/2 then α < 1 < p where α , β are roots of equation –x2 + ax + a = 0Statement–2 : Roots of quadratic equation are rational if discriminant is perfect square.(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»

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

Explanation:

x² – ax – a = 0

g(1) < 0 => a > 1/2

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