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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Updated on: 10-Oct-2022

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