Question : In the following figure, O is the centre of the circle. Its two chords AB and CD intersect each other at point P inside the circle. If AB =18 cm, PB = 6 cm, and CP = 4 cm, then find the measure of PD.

Option 1: 14 cm

Option 2: 18 cm

Option 3: 16 cm

Option 4: 20 cm

Question : Two chords AB and CD of a circle meet inside the circle at point P. If AP = 12 cm, AB = 20 cm, and CP = 16 cm,  find CD.

Option 1: 22 cm

Option 2: 15 cm

Option 3: 21 cm

Option 4: 24 cm

Question : In the figure, chords AB and CD of a circle intersect externally at P. If AB = 4 cm, CD = 11 cm and PD =15 cm, then the length of PB is:

Option 1: 10 cm

Option 2: 8 cm

Option 3: 14 cm

Option 4: 12 cm

Question : In the given figure, the diameter AB and chord CD of a circle meet at P. PT is tangent to the circle at T. If CD = 8 cm, PD = 10 cm, and PB = 8 cm, find AB.

Option 1: 14.5 cm

Option 2: 22.5 cm

Option 3: 12 cm

Option 4: 8 cm

Question : Two chords AB and CD of a circle with centre O intersect at P. If $\angle$ APC = 40º, then the value of $\angle$AOC + $\angle$BOD is:

Option 1: 50º

Option 2: 60º

Option 3: 80º

Option 4: 120º