A variable straight line with slope 2 intersects the hyperbola `xy = 1` at two points. Find the locus of the mid points of the line segment.

A variable straight line with slope 2 intersects the hyperbola xy=1 at two pooints.Find the locus of the mid points of the line segment.

A variable straight,line of slope of 4 intersects the hyperbola xy = 1 at two points. Find the locus of the point which divides the line segment between these two points in the ratio 1 : 2.

A variable striaght line of slope 4 intresects the hyprbola xy=1 at two points. Find the locus of the point which divides the line segment between theses two points in the ration 1:2 .

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

A variable straight line of slope 4 intersects the hyperbola xy=1 at two points. The locus of the point which divides the line segment between these two points in the ratio 1 : 2 is

A variable straight line of slope 4 intersects the hyperbola xy=1 at two points. The locus of the point which divides the line segment between these two points in the ratio 1 : 2 is

Mid point of a line Segment

A variable straight line with slope m(m!=0) intersects the hyperbola xy=1 at two distinct points.Then the locus of the point which divides the line segment between these two points in the ratio 1:2 is An ellipse (C) A circle (B) A hyperbola (D) A parabola

If any tangent to the parabola x^(2)=4y intersects the hyperbola xy=2 at two points P and Q , then the mid point of the line segment PQ lies on a parabola with axs along