Question : The distance between the centres of two circles of radii 6 cm and 3 cm is 15 cm. The length of the transverse common tangent to the circles is:

Option 1: $12\ \text{cm}$

Option 2: $6\sqrt6\ \text{cm}$

Option 3: $7\sqrt6\ \text{cm}$

Option 4: $18\ \text{cm}$

Question : The radii of the two circles are 9 cm and 4 cm, the distance between their centres is 13 cm, then the length of the direct common tangent is:

Option 1: 8 cm

Option 2: 14 cm

Option 3: 12 cm

Option 4: 16 cm

Question : Find the distance (in cm) between the centres of two circles having radii of 32 cm and 24 cm, respectively if the length of a direct common tangent to the two circles is given as 24 cm.

Option 1: 60

Option 2: 65

Option 3: 64

Option 4: 63

Question : The radii of the two circles are 11 cm and 3 cm. The distance between their centres is 17 cm. What is the length of the direct common tangent?

Option 1: 12 cm

Option 2: 14 cm

Option 3: 16 cm

Option 4: 15 cm

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: $4\sqrt{7}$