The curve passing through the point (0,1) and satisfying the equation sin `((dy)/(dx))`=a, is-

Options

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

3

Explanation

`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`