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Question

Answer the following questions, with reference to the circle with centre B.


(1) Name all radii and diameters shown in the circle.
(2) Name all points on the circle.
(3) Write whether the following statements are true or false.
(a) Seg PM is a diameter. ( )
(b) Seg RS is a diameter. ( )
(c) Seg CQ is a radius. ( )
(d) Seg RC is not a diameter. ( )

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Solution

(1) In the given figure, the radii are: seg BR, seg BQ, seg BP, seg BT, seg BN and seg BS.
Diameters are: seg PQ, seg RS

(2) The points that lie on the circle are: R, P, M, T, N, S, Q, and C.

(3) (a) Since, PM does not pass through the centre of the circle,
it is not the diameter of the circle.
Hence, the statement is false.

(b) Since, RS passes through the centre of the circle,
it is the diameter of the circle.
Hence, the statement is true.

(c) Since, CQ does not pass through the centre of the circle,
it is not the radius of the circle.
Hence, the statement is false.

(d) Since, RC does not pass through the centre of the circle,
it is not the diameter of the circle.
Hence, the statement is true.

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