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:

Option 1: 5 : 3

Option 2: 2 : 5

Option 3: 5 : 1

Option 4: 3 : 8

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?

Option 1: $18 \sqrt{6}$

Option 2: $12 \sqrt{15}$

Option 3: $30 \sqrt{6}$

Option 4: $6 \sqrt{30}$

Question : Two circles touch each other externally at any point C. PQ is the direct common tangent to both the circles touching the circles at point P and point Q. If the radii of the circles are 36 cm and 16 cm, respectively, then the length of PQ is:

Option 1: 42 cm

Option 2: 24 cm

Option 3: 48 cm

Option 4: 36 cm

Question : Two circles with centres A and B touch each other externally, PQ is a direct common tangent which touches the circle at P and Q. If the radii of the circles are 9 cm and 4 cm, respectively, then the length of PQ (in cm) is equal to:

Option 1: 5

Option 2: 13

Option 3: 6.5

Option 4: 12

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:

Option 1: 13 cm

Option 2: 11 cm

Option 3: 10 cm

Option 4: 12 cm