1.

If \[{{e}^{x}}=y+\sqrt{1+{{y}^{2}}}\], then y = [MNR 1990, UPSEAT 2000]

A.            \[\frac{{{e}^{x}}+{{e}^{-x}}}{2}\]
B.            \[\frac{{{e}^{x}}-{{e}^{-x}}}{2}\]
C.            \[{{e}^{x}}+{{e}^{-x}}\]
D.            \[{{e}^{x}}-{{e}^{-x}}\]
Answer» C.            \[{{e}^{x}}+{{e}^{-x}}\]


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