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A curve y=f(x) passes through (1,1) an...

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 ` x y^(prime)-3y=0` (b) normal at `(1,1)` is `x+3y=4` (c) curve passes through `2, 1/8` (d) equation of curve is `x y^(prime)+3y=0`

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