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 __________
maths-questions-answers-angle-subtended-chord-point-q1
a) ∠OAB
b) ∠AOB
c) ∠ACB
d) ∠CAB
View Answer

Answer: b
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.
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2. From the diagram given below, if lengths of the chords AB and PQ are equal, then ∠AOB = ∠POQ.
maths-questions-answers-angle-subtended-chord-point-q2
a) True
b) False
View Answer

Answer: a
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?
maths-questions-answers-angle-subtended-chord-point-q3
a) AL > LB
b) AL < LB
c) AL ≠ LB
d) AL = LB
View Answer

Answer: d
Explanation: According to theorem 10.2, perpendicular from the centre of a circle to a chord bisects the chord.
Therefore, AL = LB.
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Sanfoundry Global Education & Learning Series – Mathematics – Class 9.

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