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If a curve is such that line joining ori...

If a curve is such that line joining origin to any point `P (x,y)` on the curve and the line parallel to y-axis through P are equally inclined to tangent to curve at P, then the differential equation of the curve is:

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
A
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