If the intercepts of the variable circle on the x- and yl-axis are 2 units and 4 units, respectively, then find the locus of the center of the variable circle.

If the intercepts of the variable circle on the x- and y-axis are 2 units and 4 units, respectively, then find the locus of the center of the variable circle.

If the intercepts of the variable circle on the x- and y-axis are 2 units and 4 units, respectively, then find the locus of the center of the variable circle.

If the intercepts of the variable circle on the x- and yl-axis are 3 units and 6 units, respectively, then find the locus of the center of the variable circle.

A variable circle cuts x -y axes so that intercepts are of given lengthk _(1) and k_(2). Find the locus of the centre of circle

Variable circles are drawn touching two fixed circles externally then locus of centre of variable circle is

A circle is drawn to cut a chord of length 2a unit along x-axis and to touch the y-axis. Then the locus of the centre of the circle is-

If a variable circle 'C' touches the x-axis and touches the circle x^2+(y-1)^2=1 externally, then the locus of centre of 'C' can be:

A circle touches the x-axis and also touches the circle with center (0,3) and radius 2 externally. The locus of the center of the circle is

From a point on the circle x^2+y^2=a^2 , two tangents are drawn to the circle x^2+y^2=b^2(a > b) . If the chord of contact touches a variable circle passing through origin, show that the locus of the center of the variable circle is always a parabola.

From a point on the circle x^2+y^2=a^2 , two tangents are drawn to the circle x^2+y^2=b^2(a > b) . If the chord of contact touches a variable circle passing through origin, show that the locus of the center of the variable circle is always a parabola.