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A rod AB of length 15 cm rests in betwee...

A rod AB of length `15` cm rests in between two coordinate axes is such a way that the end point A lies on x-axis and end Point B lies on y-axis. A point P (x,y) is taken on the rod in such a way that `AP=6cm` . Show that the locus of P is an ellipse.

Text Solution

Verified by Experts

The correct Answer is:
`(x^2)/(81) + (y^2)/(36) = 1`
The locus of P is an ellipse.
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