A curve `y=f(x)`
passes
through point `P(1,1)`
. The normal to the curve at `P`
is a `(y-1)+(x-1)=0`
. If the slope of the tangent at any point on the
curve is proportional to the ordinate of the point, then the equation of the
curve is
(a)
`( b ) (c) y=( d ) e^(( e ) (f) K(( g ) (h) x-1( i ))( j ))( k ) (l)`
(m) (b) `( n ) (o) y=( p ) e^(( q ) (r) K e (s))( t ) (u)`
(v)
(c)
`( d ) (e) y=( f ) e^(( g ) (h) K(( i ) (j) x-2( k ))( l ))( m ) (n)`
(o) (d) None of these