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The solutions of (xdx+ydy)/(xdy-ydx)=sqr...

The solutions of `(xdx+ydy)/(xdy-ydx)=sqrt((a^(2)-x^(2)-y^(2))/(x^(2)+y^(2)))` is

A

`sqrt(x^(2)+y^(2))=asin(tan^(-1)((y)/(x))+c)`

B

`sqrt(x^(2)+y^(2))=a(cot(tan^(-1)""(y)/(x)))+c`

C

`sqrt(x^(2)+y^(2))=a(tan(sin^(-1)""(y)/(x))+c)`

D

`y=xtan(c+sin^(-1)""(1)/(a)sqrt(x^(2)+y^(2)))`

Text Solution

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The correct Answer is:
A, D
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