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Consider f(x) = (x2 + x + 1) a2 – (x2 + 2) a –3 (2x2 + 3x + 1) = 0Statement–1 : Number of values of 'a' for which f(x) = 0 will be an identity in x is 1.Statement–2 : a = 3 the only value for which f(x) = 0 will represent an identity.(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 |
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Answer» Correct option (D) Statement – 1 is False, Statement – 2 is True Explanation: f(x) = 0 represents an identity if a2 – a – 6 = 0 ⇒ a = 3, –2 a2 – a – 6 = 0 ⇒ a = 3, –2 a2 – a = 0 ⇒ a = 3, –3 a2 – 2a –3 =0 ⇒ a = 3, –1 ⇒ a = 3 is the only values. |
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