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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` such that `PQ` is of constant length `k`. Answer the question: The differential equation describing such a curve is (A) `y dy/dx=+-sqrt(k^2-x^2)` (B) `x dy/dx=+-sqrt(k^2-x^2)` (C) `y dy/dx=+-sqrt(k^2-y^2)` (D) `x dy/dx=+-sqrt(k^2-y^2)

A

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

B

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

C

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

D

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

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The correct Answer is:
A
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