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A curve {y}={f{{({x})}}} passes through {({1},{1})} and tangen

Question

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 $x y^{p r i m e} - 3 y = 0$ (b) normal at $(1, 1)$ is $x + 3 y = 4$ (c) curve passes through $2, 8$ (d) equation of curve is $x y^{p r i m e} + 3 y = 0$

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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^{p r i m e} - 3 y = 0

(b) normal at

(1, 1)

x + 3 y = 4

2, 8

(d) equation of curve is

x y^{p r i m e} + 3 y = 0

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