`C_1 and C_2` are fixed circles of radii `r_1 and r_2` touches each other externally. Circle 'C' touches both Circles `C_1 and C_2` extemelly. If `r_1/r_2=3/2` then the eccentricity of the locus of centre of circles C is

Three circles of radii 1,2,3 touch other externally.If a circle of radiusr touches the three circles,then r is

Circles of radii 2,2,1 touch each other externally.If a circle of radius r touches all the three circles externally,then r is

Two circles of radius 1 and 4 touch each other externally.Another circle of radius r touches both circles externally and also one direct common tangent of the two circles.Then [(1)/(r)]=

PQ is a direct common tangent of two circles of radii r_(1) and r_(2) touching each other externally at A. Then the value of PQ^(2) is :

A circle touches the line L and the circle C_(1) externally such that both the circles are on the same side of the line, then the locus of centre of the circle is :

Let C,C_1,C_2 be circles of radii 5,3,2 respectively. C_1 and C_2, touch each other externally and C internally. A circle C_3 touches C_1 and C_2 externally and C internally. If its radius is m/n where m and n are relatively prime positive integers, then 2n-m is:

Two circles of radii r_(1) and r_(2), r_(1) gt r_(2) ge2 touch each other externally. If theta be the angle between the direct common tangents, then,

A circle C touches the x-axis and the circle x ^(2) + (y-1) ^(2) =1 externally, then locus of the centre of the circle C is given by

IF two circles of radii r_1 and r_2 (r_2gtr_1) touch internally , then the distance between their centres will be

Two circles with radii a and b respectively touch each other externally . Let c be the radius of a circle that touches these two circles as well as a common tangent to the circles. Then