If y-1-y2-ex- then the value of y is A- ex-e-xB- ex-e-xC- e x - e - x -2D- None of these

The correct option is D None of thesey+√(1+y^2)=e^x ⇒ 1+y^2=(e^x y)^2 ⇒ 1+y^2=e^2x 2e^xy+y^2 ⇒ y=e^2x 12e^x=e^x e^ x2 ...

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Properties of Iota

If y+√1+y2=ex...

Question

If $y + \sqrt{1 + y^{2}} = e^{x},$ then the value of $y$ is

e^{x} - e^{- x}

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e^{x} + e^{- x}

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\frac{e^{x} + e^{- x}}{2}

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None of these

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Solution

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