SOLUTION: If the focci of ellipse is {{{ x^2/9 + y^2/4 = 1 }}} subtend a right angle at some point P. Find the locus of point P?

Question 1184288: If the focci of ellipse is subtend a right angle at some point P. Find the locus of point P?
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
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The foci of the ellipse   +  = 1  are the points  (-c,0)  and  (c,0)  on  x-axis,  where c =  = .



The locus of points P such that the foci subtend the right angle at point P is the circle, 

centered at the origin of the coordinate plane  and having the radius of  ,  EXCLUDING

the endpoints of its diameter that lie on x-axis.

Solved, answered and explained.

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