A curve `y=f(x)` passes through `(1,1)` and tangent at `P(x , y)` cuts the x-axis and y-axis at `A` and `B` , respectively, such that `B P : A P=3,` then (a) equation of curve is `( b ) (c) x (d) y^(( e )prime( f ))( g )-3y=0( h )` (i) (j) normal at `( k ) (l)(( m ) (n)1,1( o ))( p )` (q) is `( r ) (s) x+3y=4( t )` (u) (v) curve passes through `( w ) (x)(( y ) (z)2, (aa)1/( b b )8( c c ) (dd) (ee))( f f )` (gg) (hh) equation of curve is `( i i ) (jj) x (kk) y^(( l l )prime( m m ))( n n )+3y=0( o o )` (pp)

Options

A. equation of curve is xy'-3y=0
B. normal at (1,1) is x+3y=4
C. curve passes through `(2,(1)/(8))`
D. equation of curve is xy'+3y=0