Two fixed circles with radii `r_1a n dr_2,(r_1> r_2)` , respectively, touch each other externally. Then identify the locus of the point of intersection of their direction common tangents.

Two circle with radii r_(1) and r_(2) respectively touch each other externally. Let r_(3) be the radius of a circle that touches these two circle as well as a common tangents to two circles then which of the following relation is true

Two circles with radii aa n db touch each other externally such that theta is the angle between the direct common tangents, (a > bgeq2) . Then prove that theta=2sin^(-1)((a-b)/(a+b)) .

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.

Two circles of radii 4cm and 1cm touch each other externally and theta is the angle contained by their direct common tangents. Then sintheta is equal to (a) (24)/(25) (b) (12)/(25) (c) 3/4 (d) none of these

Two circles of radius 8.2 cm and 3.6 cm touch each other externally , the distance between their centres is …………

The circles having radii r_1a n dr_2 intersect orthogonally. The length of their common chord is

Let C_1 and C_2 be two circles with C_2 lying inside C_1 circle C lying inside C_1 touches C_1 internally andexternally. Identify the locus of the centre of C

Identify locus z if R e(z+1)=|z-1|

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

Two variable chords A Ba n dB C of a circle x^2+y^2=r^2 are such that A B=B C=r . Find the locus of the point of intersection of tangents at Aa n dCdot