Say true or false:
(a) Two diameters of a circle will necessarily intersect.
(b) The centre of a circle is always in its interior.
To do:
We have to find whether the given statements are true or false.
Solution:
(a) A diameter of a circle is any straight line segment that passes through the centre of the circle and whose endpoints lie on the circle.
Therefore, two diameters of a circle will necessarily intersect at the centre.
The given statement is true.
(b) A circle is a collection of all points which are at a constant distance (radius) from a fixed point (centre).
This implies,
The centre must lie inside the circle.
The given statement is false.
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