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 : The Radii of the two circles are 20 cm and 4 cm. Length of the direct common tangent is 30 cm. What is the distance between their centres?

Option 1: 36 cm

Option 2: 38 cm

Option 3: 34 cm

Option 4: 32 cm

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 : 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: $4\sqrt{7}$

Question : Two circles of radius 2.4 cm and 4 cm, respectively, have a common tangent. The distance between the centres of the two circles is 6.5 cm. If the common tangent does not intersect the line joining the centres, then find the length of a common tangent to the circles.

Option 1: 6.0 cm

Option 2: 6.2 cm

Option 3: 6.1 cm

Option 4: 6.3 cm