IIT JEE 2012 Video Solutions Paper 1 (Maths) Q43

43. The ellipse E1 :
x2 y2
9 4
 = 1 is inscribed in a rectangle R whose sides are parallel to the coordinate axes.
Another ellipse E2 passing through the point (0, 4) circumscribes the rectangle R. The eccentricity of the
ellipse E2 is
(A) root2/2
(B) root3/2
(C) 1/2
(D) 3/4
Ans. (C)

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