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A normal is drawn at a point P(x,y) of a...

A normal is drawn at a point P(x,y) of a curve. It meets the X-axis at Q. If PQ is of constant length k, then the differential equation describing such a curve is

A

`y (dy)/(dx) =+- sqrt(k^2-y^2)`

B

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

C

`y (dy)/(dx) =+- sqrt(y^2-k^2)`

D

`x (dy)/(dx) =+- sqrt(x^2-k^2)`

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The correct Answer is:
A
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