Question : From a point P, two tangents PA and PB are drawn to a circle with centre O. If OP is equal to the diameter of the circle, then $\angle$APB is:

Option 1: 45°

Option 2: 90°

Option 3: 30°

Option 4: 60°

Question : AB is the diameter of a circle with centre O. P is a point on it. If $\angle$POA = 120°. Then $\angle$PBO = ?

Option 1: 60°

Option 2: 120°

Option 3: 45°

Option 4: 50°

Question : In a circle if PQ is the diameter of the circle and R is on the circumference of the circle such that $\angle$PQR = 30°, then $\angle$RPQ =?

Option 1: 90°

Option 2: 60°

Option 3: 30°

Option 4: 45°

Question : Points D, E, and F all lie on the circumference of a circle with centre O. If angle DEF = 48°, then what is a possible value of angle DOF?

Option 1: 84°

Option 2: 96°

Option 3: 90°

Option 4: 48°

Question : AB and BC are two chords of a circle with centre O. Both chords are on either side of the centre O. Point A and point C are connected to the centre O, such that $\angle B A O=36^{\circ}$ and $\angle B C O=48^{\circ}$. What is the degree measure of the angle subtended by the minor arc AC at the centre O?

Option 1: 136°

Option 2: 144°

Option 3: 120°

Option 4: 168°