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 : 8 cm and 5 cm are the radii of two circles. If the distance between the centres of the two circles is 11 cm, then the length (in cm) of the common tangent of the two circles is:

Option 1: $2 \sqrt{7}$

Option 2: $3 \sqrt{7}$

Option 3: $\sqrt{7}$

Option 4: $4\sqrt{7}$