Consider two straight lines, each of which is tangent to both the circle x + y...

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

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