Question : Two circles touch each other externally at points P and AB is a direct common tangent which touches the circles at A and B, respectively. $\angle APB$ is:

Question : Two circles of radii 5 cm and 3 cm touch externally. The ratio in which the direct common tangent to the circles divides externally the line joining the centres of the circles is:

Question : Two circles of radii 15 and 18 cm touch each other externally. What is the length (in cm) of the direct common tangent to the two circles?

Question : Two circles C₁ and C₂ touch each other internally at P. Two lines PCA and PDB meet the circles C₁ in C, D, and C₂ in A, B respectively. If $\angle$BDC=120°, then the value of $\angle$ABP is

Question : Two circles of radii 9 cm and 4 cm, respectively, touch each other externally at point $A. PQ$ is the direct common tangent of those two circles of centres $O_1$ and $O_2$, respectively. The length of $PQ$ is equal to: