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Q.4
=
=
Consider two straight lines, each of which is tangent to both the circle x2 + y2 = ; and the
parabola y2 = 4x. Let these lines intersect at the point Q. Consider the ellipse whose center
is at the origin 0(0,0) and whose semi-major axis is OQ. If the length of the minor axis of
this ellipse is v2 , then which of the following statement(s) is (are) TRUE?
1
(A) For the ellipse, the eccentricity is zz and the length of the latus rectum is 1
(B) For the ellipse, the eccentricity is and the length of the latus rectum is.
(C) The area of the region bounded by the ellipse between the lines x = and x = 1 is
AVE(T - 2)
(D) The area of the region bounded by the ellipse between the lines x = vz and x = 1 is
– 2)
42
(TC
16


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