Question: Consider the ellipse. A straight line drawn through H parallel to y-axis crosses the ellipse and its auxiliary circle at points E and F

Consider the ellipse. 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 (1) e If = (II) If (IV) = (III) If= T If p = 4 3 T == 6 > T > " 12 + then the area of the triangle FGH is then the area of the triangle FGH is then the area of the triangle FGH is then the area of the triangle FGH is The correct option is: (A) (1) (R); (II) (S); (III) (Q); (IV) (P) (B) (1) (R); (II) (T); (III) (S); (IV) (P) (C) (I) (Q); (II) (T); (III) (S); (IV) (P) (D) (1) (Q); (II) (S); (III) (Q); (IV) (P) (P) (Q) 1 (R) (S) (3-1) 8 (T) 3 4 1 23 33 2 List-II
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