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Tangent to a curve intercepts the y-axis...

Tangent to a curve intercepts the y-axis at a point `P`. A line perpendicular to this tangent through `P` passes through another point (1,0). The differential equation of the curve is

A

`y(dy)/(dx) -x ((dy)/(dx))^(2)=1`

B

`x(d^(2)y)/(dx^(2)) + ((dy)/(dx))^(2)=1`

C

`y(dx)/(dy) +x =1`

D

None of these

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The correct Answer is:
A
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