All diameters of a circle pass through its centre.

True

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False

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Solution

The correct option is A
True

The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.
So, all diameters drawn in a circle will pass through its center.
So, the given statement is true.

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Similar questions

Say true or false:

(a) Two diameters of a circle will necessarily intersect.

(b) The centre of a circle is always in its interior.

Q. State True or False.
The longest chord of the circle passes through the centre of the circle.

Q. A chord of a circle passing through its centre is equal to its

(a) radius
(b) diameter
(c) circumference
(d) none of these

The diameter of a circle is a line which joins two points on the circle and also passed through the centre of the circle. (In the adjoining figure AB is a diameter of the circle; C is its centre.) Express the diameter of the circle (d) in terms of its radius(r).

Q. 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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All diameters of a circle pass through its centre.

The correct option is A True The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. So, all diameters drawn in a circle will pass through its center. So, the given statement is true.

The correct option is A
True

The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.
So, all diameters drawn in a circle will pass through its center.
So, the given statement is true.