Question : The distance between the centres of two circles having radii 22 cm and 18 cm, is 32 cm. The length (in cm) of the direct common tangent of the two circles is:

Option 1: $2 \sqrt{252} \mathrm{~cm}$

Option 2: $2 \sqrt{152} \mathrm{~cm}$

Option 3: $3 \sqrt{242} \mathrm{~cm}$

Option 4: $3 \sqrt{252} \mathrm{~cm}$

Question : The distance between the centres of two circles having radii 16 cm and 8 cm, is 26 cm. The length (in cm) of the direct common tangent of the two circles is:

Option 1: $2 \sqrt{132}$

Option 2: $\sqrt{153}$

Option 3: $2 \sqrt{153}$

Option 4: $\sqrt{132}$

Question : The distance between the centres of two circles of radii 2 cm and 6 cm is 5 cm. Find the length of the direct common tangent.

Option 1: $6 \mathrm{~cm}$

Option 2: $3 \mathrm{~cm}$

Option 3: $9 \mathrm{~cm}$

Option 4: $\frac{5}{2} \mathrm{~cm}$

Question : The distance between the centres of two circles having radii of 8 cm and 3 cm is 13 cm. The length (in cm) of the direct common tangent of the two circles is:

Option 1: 15 cm

Option 2: 16 cm

Option 3: 18 cm

Option 4: 12 cm

Question : The radius of two circles is 3 cm and 4 cm. The distance between the centres of the circles is 10 cm. What is the ratio of the length of the direct common tangent to the length of the transverse common tangent?

Option 1: $\sqrt{51}:\sqrt{68}$

Option 2: $\sqrt{33}:\sqrt{17}$

Option 3: $\sqrt{66}:\sqrt{51}$

Option 4: $\sqrt{28}:\sqrt{17}$

Question : Two circles with radii $22 \ \text{cm}$ and $16\  \text{cm}$ touch each other externally. The length of the direct common tangent is:

Option 1: $4 \sqrt{22}\ \text{cm}$

Option 2: $8 \sqrt{11} \ \text{cm}$

Option 3: $4 \sqrt{11} \ \text{cm}$

Option 4: $8 \sqrt{22} \ \text{cm}$