Mathematics Questions and Answers – Circles through Three Points

«
»

This set of Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Circles through Three Points”.

1. If a circle passes through three points which are collinear, the third point either lies outside or inside the circle.
a) True
b) False
View Answer

Answer: a
Explanation: As shown in diagrams below, if a circle passes through three collinear points A, B and C, the third point either lies outside the circle (figure 1) or inside the circle (figure 2).

advertisement

maths-questions-answers-circles-through-three-points-q1a

maths-questions-answers-circles-through-three-points-q1b

advertisement
advertisement

2. How many circles can pass through three points which are not collinear?
a) One
b) Two
c) Three
d) Four
View Answer

Answer: a
Explanation: According to theorem 10.5, there is one and only one circle passing through three given non-collinear points.
As can be seen in the diagram below, there can be only one circle through three non-collinear points A,B and C.
maths-questions-answers-circles-through-three-points-q2

3. From the diagram given below, if for two chords AB and CD, AB = CD, which of the following is true?
maths-questions-answers-circles-through-three-points-q3
a) OM < ON
b) OM > ON
c) OM = ON
d) OM ≠ ON
View Answer

Answer: c
Explanation: According to theorem 10.6, equal chords of a circle are equidistant from the centre.
OM and on are the distance from the centre and chords AB = CD (given).
Hence, OM = ON
advertisement

Sanfoundry Global Education & Learning Series – Mathematics – Class 9.

To practice all areas of Mathematics, here is complete set of 1000+ Multiple Choice Questions and Answers.

advertisement

Participate in the Sanfoundry Certification contest to get free Certificate of Merit. Join our social networks below and stay updated with latest contests, videos, internships and jobs!

advertisement
advertisement
Manish Bhojasia - Founder & CTO at Sanfoundry
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