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 : In the given figure, point O is the centre of a circle of radius 13 cm and AB is a chord perpendicular to OD. If CD = 8 cm, what is the length (in cm) of AB?

Option 1: 6 cm

Option 2: 12 cm

Option 3: 24 cm

Option 4: 28 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 : AB is a chord of a circle having a radius of 1.7 cm. If the distance of this chord AB from the centre of the circle is 0.8 cm, then what is the length (in cm) of the chord AB?

Option 1: 4

Option 2: 1

Option 3: 3

Option 4: 2

Question : A tangent is drawn from an external point 'A' to a circle of radius 12 cm. If the length of the tangent is 5 cm, then the distance from the centre of the circle to point 'A' is:

Option 1: 17 cm

Option 2: 9 cm

Option 3: 7 cm

Option 4: 13 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