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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Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He is Linux Kernel Developer & SAN Architect and is passionate about competency developments in these areas. He lives in Bangalore and delivers focused training sessions to IT professionals in Linux Kernel, Linux Debugging, Linux Device Drivers, Linux Networking, Linux Storage, Advanced C Programming, SAN Storage Technologies, SCSI Internals & Storage Protocols such as iSCSI & Fiber Channel. Stay connected with him @ LinkedIn | Youtube | Instagram | Facebook | Twitter