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Consider a curve y=f(x) in xy-plane. The...

Consider a curve `y=f(x)` in xy-plane. The curve passes through (0,0) and has the property that a segment of tangent drawn at any point `P(x,f(x))` and the line y = 3 gets bisected by the line `x + y = 1` then the equation of curve, is

A

`y^(2)=9(x-y)`

B

`(y-3)^(2)=9(1-x-y)`

C

`(y+3)^(2)=9(1-x-y)`

D

`(y-3)^(2)-9(1+x+y)`

Text Solution

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The correct Answer is:
B
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