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The circle's diameter.
A circle does not have any points. The circle is completely rounded off.
The name of a straight line joining two points on the circumference of a circle is a chord.If the line passes through the the centre of the circle it is called a diameter
You can completely specify a circle in a plane by giving the coordinates of its center point, and the length of the radius.
A straight line joining points on a circle is called a "chord" of that circle. If the line happens to pass through the center of the circle, then it's a "diameter" of that circle. The question asked about "points" on a circle, so two points on the circumference of that circle are being considered. (No line can join more than two points of a circle.)