In given figure two circle touch each othe at point C. prove that common tangent to circles at C, bisects the common tangents at P and Q.

In Fig.10.21, two circles touch each other at the point C. Prove that the common tangent to the circles at C, bisects the common tangent at P and Q.( FIGURE )

Common tangent to two circles

Common Tangents of Circles

In the given figure two circles touch each other at the point C. Prove that the common tangent at P and Q.

In the given figure, there are two circles with centers A and B. The common tangent to the circles touches them, respectively,at P and Q. AR is 40cm and AB is divided by the point of contact of the circles in the ratio 5:3 The length of QR is

In the given figure, there are two circles with centers A and B. The common tangent to the circles touches them, respectively,at P and Q. AR is 40cm and AB is divided by the point of contact of the circles in the ratio 5:3 The radius of the circle with center B is

In the given figure, there are two circles with centers A and B. The common tangent to the circles touches them, respectively,at P and Q. AR is 40cm and AB is divided by the point of contact of the circles in the ratio 5:3 What is the ratio of the length of AB to that of BR ?

Two circles touch each other at point X. Two common tangents of the circles meet at point P and none of the tangents passes through X. These tangents touch the larger circle at points B and C. If the radius of the larger circle is 15 cm and CP = 20 cm, then what is the radius (in cm) of the smaller circle?

In figure, two circles intersect each other at points S and R. Their common tangent PQ touches the circle at points P,Q. Prove that, /_PRQ+/_PSQ=180^(@) .