Question : Two circles with radii of 25 cm and 9 cm touch each other externally. The length of the direct common tangent is:

Option 1: 34 cm

Option 2: 30 cm

Option 3: 36 cm

Option 4: 32 cm

Question : Two circles of radii 5 cm and 3 cm intersect each other at A and B, and the distance between their centres is 6 cm. The length (in cm) of the common chord AB is:

Option 1: $\frac{4 \sqrt{13}}{3}$

Option 2: $\frac{2 \sqrt{14}}{3}$

Option 3: $\frac{2 \sqrt{13}}{3}$

Option 4: $\frac{4 \sqrt{14}}{3}$

Question : Two circles of radii 8 cm and 3 cm, respectively, are 13 cm apart. AB is a direct common tangent touch to both the circles at A and B respectively then the length of AB is:

Option 1: 10 cm

Option 2: 12 cm

Option 3: 8 cm

Option 4: 6 cm

Question : Two circles of radii 15 cm and 10 cm intersect each other and the length of their common chord is 16 cm. What is the distance (in cm) between their centres?

Option 1: $12+3 \sqrt{7}$

Option 2: $15+2 \sqrt{161}$

Option 3: $10+\sqrt{161}$

Option 4: $6+\sqrt{161}$

Question : What is the length (in cm) of the transverse common tangent between two circles with radii 6 cm and 4 cm, given that the distance between their centres is 14 cm?

Option 1: $2 \sqrt{6}$

Option 2: $4 \sqrt{6}$

Option 3: $5 \sqrt{6}$

Option 4: $3 \sqrt{6}$