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A rod A B of length 15c m rests in betwe...

A rod `A B` of length `15c m` rests in between two coordinate axes in such a way that the end point `A` lies on `x-a xi s` and end point `B` lies on `y-a xi s` . A point is taken on the rod in such a way that `A P=6c m` . Show that the locus of `P` is an ellipse. Also find its eccentricity.

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The locus of P is an ellipse.
Given A lies on x axis = `= > A = ( a , 0 )`
Also B lies on y axis = `= > B = ( 0 , b )`
Given P ( x , y ) such that AP = 6cm .
...
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