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JEE MATHEMATICS MCQ: THEORY OF EQUATION

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Application +4 | -1
If (a2−1)x2+(a−1)x+a2−4a+3=0\left(a^2-1\right) x^2+(a-1) x+a^2-4 a+3=0 is an identity in xx, then the value of aa is
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Correct option: A
1
Option A (1) is correct because for the equation to be an identity in x, all coefficients must be zero, and a=1 satisfies all three conditions.

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