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JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Application +4 | -1
If x\mathrm{x} is a solution of the equation,
2x+1−2x−1=1,(x≥12)\sqrt{2 x+1}-\sqrt{2 x-1}=1,\left(x \geq \frac{1}{2}\right), then 4x2−1\sqrt{4 x^{2}-1} is equal to :
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Correct option: A
34\frac{3}{4}
Option A (34\frac{3}{4}) is correct because solving the given equation for x and substituting it into 4x2−1\sqrt{4 x^{2}-1} yields 34\frac{3}{4}.

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