A variable tangent to the circle x2+y2=1 intersects the ellipse 2x2+y2=4 at P and Q. The locus of the point of intersection of the tangents at P and Q is
A
an ellipse of eccentricity √34
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B
a parabola with focus at (2,3)
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C
an ellipse of area 8π sq. units
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D
a parabola with latus rectrum 12
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Solution
The correct option is D an ellipse of area 8π sq. units R.E.F image