1.

The curve passing through the point (0,1) and satisfying the equation sin `((dy)/(dx))`=a, is-A. `cos((y+1)/x)=a`B. `cos(x/(y+1))=a`C. `sin((y-1)/x)=a`D. `sin(x/(y-1))=a`

Answer» Correct Answer - 3
`sin((dy)/(dx))=a`
`(dy)/(dx)=sin^(-1)a`
`intdy=intsin^(-1)acdotdx`
`y=sin^(-1)acdotx+c`
passes (0,1)
`1=0+c,c=1`
`y=sin^(-1)acdotx+1`
`y-1=sin^(-1)acdotx`
`(y-1)/x=sin^(-1)a`
`sin((y-1)/x)=a`


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