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Let f(x) = x2 = –x2 + (a + 1) x + 5Statement–1 : f(x) is positive for same α < x < β and for all a∈R Statement–2 : f(x) is always positive for all x∈R and for same real '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» Correct option (C) Statement – 1 is True, Statement – 2 is False. Explanation: Here f(x) is a downward parabola D = (a + 1)2 + 20 > 0 From the graph clearly st (1) is true but st (2) is false |
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