Find the locus of the middle points of portions of the tangents to the circle `x^2+y^2 =a^2` terminated bythe Coordinate axes.

The locus of the middle points of portions of the tangents to the circle x^(2)+y^(2)=a^(2) terminated by the axes is

The locus of the middle points of portions of the tangents to the circle x^(2)+y^(2)=a^(2) terminated by the axes is

Consider a circle x^2 + y^2 = 4 and a point P(4,2). theta denotes the angle enclosed by the tangents from P on the circle and A, B are the points of contact of the tangents from P on the circle. The value of theta lies in the interval The intercept made by a tangent on the x-axis is Locus of the middle points of the portion of the tangent to the circle terminated by the coordinate axes is

The equation of the locus of the middle point of the portion of the tangent to the ellipse x^/16+y^2/9=1 included between the co-ordinate axes is the curve

show that the locus of the middle points of portions of the tangents to the hyperbola x^2/a^2 - y^2/b^2 = 1 intercepted between the axes is 4x^2 y^2 = a^2 y^2 - b^2 x^2 .

The equation of the locus of the middle point of the portion of the tangent to the ellipse x^(2)/16+y^2/9=1 included between the co-ordinate axes is the curve

Find the locus of the point of intersections of perpendicular tangents to the circle x^(2) +y^(2) =a^(2)

Find the locus of the point of intersection of perpendicular tangents to the circle x^(2) + y^(2)= 4

The locus of the middle point of the portion of a tangent to the ellipse x^2/a^2+y^2/b^2=1 included between axes is