Consider the ellipse 
. Let 
, 0 < 
< 2, be a point. A straight line drawn through H parallel to y-axis crosses the ellipse and its auxiliary circle at points E and F respectively, in the first quadrant. The tangents to the ellipse at the point E intersects the positive x-axis at a point G. Suppose the straight line joining F and the origin makes an angle 
with the positive x-axis.
List-I List-II
(I) If 
, then the area of the triangle FGH is (P) 
(II) If 
, then the area of the triangle FGH is (Q) 1
(III) If 
, then the area of the triangle FGH is (R) 
(IV) If 
then the area of the triangle FGH is (S) 
(T) 
The correct option is:
(R); (II) 
(S); (III) 
(Q); (IV) 
(P)
(R); (II) 
(T); (III) 
(S); (IV) 
(P)
(Q); (II) 
(T); (III) 
(S); (IV) 
(P)
(Q); (II) 
(S); (III) 
(Q); (IV) 
(P)
Text Solution
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