First slide
Ellipse
Question

Which of the following points lies on the locus of the foot of perpendicular drawn upon 

 any tangent to the ellipse x24+y22=1 from any of its foci? 

Easy
Solution

Question is the definition of Auxiliary circle

 Hence the auxiliary circle of x24+y22=1 is x2+y2=4 satisfies (-1,3)

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