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Let a, b, c ∈ R, a ≠ 0.Statement–1 : Difference of the roots of the equation ax2 + bx + c = 0 = Difference of the roots of the equation – ax2 + bx – c = 0Statement–2 : The two quadratic equations over reals have the same difference of roots if product of the coefficient of the two equations are the same.(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: Statement–I is true, as Difference of the roots of a quadratic equation is always D , D being the discriminant of the quadratic equation and the two given equations have the same discriminant. Statement – II is false as if two quadratic equations over reals have the same product of the coefficients, their discriminents need not be same. Hence (c) is the correct answer. |
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