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Let x2/36 + y2/27 = 1 be an ellipse and P be any point on it and S and S be its foci.

The point of intersection of straight lines joining each focus to the foot of the perpendicular from the of  other focus upon the tangent at a point P (π/3), is

(A) (21/8 , 9/4)

(B) (15/8, 9/4)

(C)  (15/4, 9/8)

(D) (21/4, 9/8)

1 Answer

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Correct option  (B) (15/8, 9/4)


we know that the straight lines joining S'F1 and SF2 bisects the normal PG.

Required point of intersection is midpoint of PG.

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