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The solution of sqrt(1 - x^(2)) dx + sqr...

The solution of `sqrt(1 - x^(2)) dx + sqrt(1 - y^(2)) dy = 0` is

A

`x sqrt(1-x^(2)) + y sqrt(1- y^(2)) + "Cosh"^(-1) x + "Cosh"^(-1) y = c`

B

`x sqrt(1 + x^(2)) + y sqrt(1 + y^(2)) = c`

C

`x sqrt(1 + x^(2)) - y sqrt(1 + y^(2)) + "Sinh"^(-1) x - "Sinh"^(-1) y = c`

D

`Sinh^(-1) x + Sinh^(-1) y=c`

Text Solution

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The correct Answer is:
A
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