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JEE MATHEMATICS MCQ: THEORY OF EQUATION

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The range of values of 'a{a}' so that the equation x3−3x+a=0x^3-3 x+a=0 has three real and distinct roots is
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Correct option: D
(−2,2)(-2,2)
Option D, (−2,2)(-2,2), is correct because the condition for three distinct real roots is that f(1)f(−1)<0f(1)f(-1) < 0, which leads to −2<a<2-2 < a < 2.

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