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onsider two straight lines, each of which is tangent to both the circle x² + y² = 1/2 and the parabo

Consider two straight lines, each of which is tangent to both the circle x² + y² = 1/2 and the parabola y² = 4x. 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 1/√2 and the length of the latus rectum is 1 (B) For the ellipse, the eccentricity is 1/2 and the length of the latus rectum is 1/2 (C) The area of the region bounded by the ellipse between the lines x = 1/√2 and x = 1 is [1 / (4√2)] * (π - 2) (D) The area of the region bounded by the ellipse between the lines x = 1/√2 and x = 1 is (1/16) * (π - 2)

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