Find `dy/dx if 2x-3y=sinx`

Answer

C

Explanation

Here, `(AB)/(AC)=(BD)/(DC) and (AB)/(AC)=(BE)/(CE)`

`implies (BD)/(DC)=(BE)/(CE) implies (BD)/(CE)implies (BD)/(BC-BD)=(BE)/(BE-BC)`
`implies BD*BE-BD*BC=BC*BE-BD*BE`
`implies 2BD*BE=(BD+BE)*BC`
or `(2)/(BC)=(1)/(BD)+(1)/(BE)`.