Two circles are given such that they neither intersect nor touch. Then identify the locus of the center of variable circle which touches both the circles externally.

The locus of the centre of a circle the touches the given circle externally is a _______

Two circles are given such that one is completely lying inside the other without touching. Prove that the locus of the center of variable circle which touches the smaller circle from outside and the bigger circle from inside is an ellipse.

Prove that the locus of centre of the circle which toches two given disjoint circles externally is hyperbola.

Prove that the locus of the center of the circle which touches the given circle externally and the given line is a parabola.

Find the equation of the circle which touches both the axes and the line x=c

Statement 1 : The locus of the center of a variable circle touching two circle (x-1)^2+(y-2)^2=25 and (x-2)^2+(y-1)^2=16 is an ellipse. Statement 2 : If a circle S_2=0 lies completely inside the circle S_1=0 , then the locus of the center of a variable circle S=0 that touches both the circles is an ellipse.

A Tangent to a circle is a line which touches the circle at only one point.

The equation of a circle of radius r and touching both the axes is

The locus of the point (h,k) for which the line hx+ky=1 touches the circle x^2+y^2=4

Two concentric circles of radii 5cm and 3cm are drawn. Find the length of the chord of the larger circle which touches the smaller circle.