Question
A normal is drawn at a point P(x,y) of a curve. It meets the x-axis at Q. If PQ has constant length k, then show that the differential equation describing such curves is . Find the equation of such a curve passing through (0,k).
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Question Text | A normal is drawn at a point P(x,y) of a curve. It meets the x-axis at Q. If PQ has constant length k, then show that the differential equation describing such curves is . Find the equation of such a curve passing through (0,k). |