Question : AB is a chord in a circle of radius 13 cm. From centre O, a perpendicular is drawn through AB intersecting AB at point C. The length of OC is 5 cm. What is the length of AB?

Option 1: 24 cm

Option 2: 12 cm

Option 3: 20 cm

Option 4: 15 cm

Question : Let C be a circle with centre O and radius 5 cm. Let PQ be a tangent to the circle and A be the point of tangency. Let B be a point on PQ such that the length of AB is 12 cm. If the line joining O and B intersects the circle at R, find the length of BR (in cm).

Option 1: 2

Option 2: 13

Option 3: 6

Option 4: 8

Question : Out of two concentric circles, the radius of the outer circle is 6 cm and the chord PQ of the length 10 cm is a tangent to the inner circle. Find the radius (in cm) of the inner circle.

Option 1: $4$

Option 2: $\sqrt{7}$

Option 3: $\sqrt{13}$

Option 4: $\sqrt{11}$

Question : Two circles touch each other externally. The radius of the first circle with centre A is 18 cm. The radius of the second circle with centre B is 8 cm. Find the length of their common tangent CD.

Option 1: 23 cm

Option 2: 26 cm

Option 3: 24 cm

Option 4: 25 cm

Question : If a chord of length 16 cm is at a distance of 15 cm from the centre of the circle, then the length of the chord of the same circle which is at a distance of 8 cm from the centre is equal to:

Option 1: 10 cm

Option 2: 20 cm

Option 3: 30 cm

Option 4: 40 cm