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A variable straight line of slope 4 inte...

A variable straight line of slope 4 intersects the hyperbola `xy=1` at two points. Then the locus of the point which divides the line segment between these two points in the ratio `1:2`, is (A) `x^2 + 16y^2 + 10xy+2=0` (B) `x^2 + 16y^2 + 2xy-10=0` (C) `x^2 + 16y^2 - 8xy + 19 = 0` (D) `16x^2 + y^2 + 10xy-2=0`

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