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Question

Which of the following statements are true and which are false?
(i) Each radius of a circle is also a chord of the circle.
(ii) Each diameter of a circle is also a chord of the circle.
(iii) The centre of a circle bisects each chord of the circle.
(iv) A secant of a circle is a segment having its end points on the circle.
(v) A chord of a circle is a segment having its end points on teh circle.


Solution

(i)  False
Diameter of a circle is a chord of the circle, not radius.
(ii) True
It is the longest chord of the circle.
(iii) False
A perpendicular drawn from the centre of the circle to the chord, bisects the chord.
(iv) False
It is a line passing through the circle that intersects the circle at two points.
(v) True.

Mathematics
RS Aggrawal (2020, 2021)
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