No.
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Every circle has a point called the centre. A straight line drawn through the centre and extending both ways to intersect with the circle at opposite points is called the diameter. A straight line drawn from the centre to intersect with one point of the circle is called the radius. In this case, the length of that straight line is 12 inches.
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.)
A line can be tangent to a circle in which case it intersects it in one point, it can intersect it in two points, or no points at all. So the choices are 0,1 or 2.
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
A straight line that intersects a circle's circumference at two points will create a chord of which the circle's diameter is its largest chord.