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Consider the equation (a + 2)x2 + (a – 3) x = 2a – 1 Statement–1 : Roots of above equation are rational if 'a' is rational and not equal to –2.Statement–2 : Roots of above equation are rational for all rational values of 'a'.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» (C) Statement – 1 is True, Statement – 2 is False. Obviously x = 1 is one of the root ∴ Other root = – 2a - 1/a + 2 = rational for all rational a ≠ –2. (C) is correct option. |
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