Question

If AB is a chord of a circle, P and Q are two points on the circle different from Aand B, then :
(a) the angle subtended by AB at P and Q are either equal or supplementary.
(b) the sum of the angles subtended by AB at P and Qis always equal two right angles.
(c) the angles subtended at P and Q by AB are always equal.
(d) the sum of the angles subtended at P and Qis equal to four right angles.​

Answer 1

Answer:

The correct option is A

The angle subtended by AB at P and Q are either equal or supplementary.  

Since AB is a chord and P, Q are two points different from A and B, two cases arise:

Case 1: If P and Q are on the same side of the chord, angles subtended by the chords at P and Q are equal.

Case 2: If P and Q are on the opposite side of the chord, angles subtended by the chord are supplementary.

Step-by-step explanation:

The correct option is A

The angle subtended by AB at P and Q are either equal or supplementary.  

Since AB is a chord and P, Q are two points different from A and B, two cases arise:

Case 1: If P and Q are on the same side of the chord, angles subtended by the chords at P and Q are equal.

Case 2: If P and Q are on the opposite side of the chord, angles subtended by the chord are supplementary.