If a pair of variable straight lines x2 + 4y2 + xy = 0 (where is a real parameter) cut the ellipse x 2 + 4y2 = 4 at two points, then locus of the point of intersection of tangents at a and b is (a) 4x2 y2 = 0 (b) x 2 4y2 = 0 (c) x 2 + 4y2 16 = 0 (d) x 2 4y2 32 = 0
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Answer:(x-2y)(x+2y) = 0
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