BANK Karnataka Bank PO Mock Test Series 2024 Quantitative Aptitude Algebra Identities

If 2x = \(\rm \sqrt{a}+\frac{1}{\sqrt{a}}\) , a > 0, then the value of \(\rm \frac{\sqrt{x^2-1}}{x-\sqrt{x^2-1}}\) is

1
a + 1
2
\(\rm \frac{1}{2}(a+1)\)
3
\(\rm \frac{1}{2}(a-1)\)
4
a - 1
5
None of the above
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