# Mathematics Questions and Answers – Angle Subtended by a Chord at a Point

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This set of Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Angle Subtended by a Chord at a Point”.

1. From the diagram given below, angle subtended by the chord AB at the centre is __________ a) ∠OAB
b) ∠AOB
c) ∠ACB
d) ∠CAB

Explanation: We can see from the diagram that “O” is the centre of the circle, therefore angle formed by the chord at the centre is ∠AOB.

2. From the diagram given below, if lengths of the chords AB and PQ are equal, then ∠AOB = ∠POQ. a) True
b) False

Explanation: According to the theorem 10.1, equal chords of a circle subtend equal angles at the centre.
Here, it is given that AB = PQ.
Hence, ∠AOB = ∠POQ.

3. From the diagram given below, if O is the centre of the circle and OL is perpendicular to chord AB, then which of the following is true? a) AL > LB
b) AL < LB
c) AL ≠ LB
d) AL = LB

Explanation: According to theorem 10.2, perpendicular from the centre of a circle to a chord bisects the chord.
Therefore, AL = LB. 