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Let f(x,y) be a curve in the x-y plane h...

Let `f(x,y)` be a curve in the x-y plane having the property that distance from the origin of any tangent to the curve is equal to distance of point of contact from the y-axis. It `f(1,2)=0,` then all such possible curves are

A

`x^(2)+y^(2)=5x`

B

`x^(2)-y^(2)=5x`

C

`x^(2)y^(2)=5x`

D

All of these

Text Solution

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The correct Answer is:
A
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