No.
The only chords that go through the center is a diameter.
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No, not all chords of a circle pass though the center of that circle. Any cord that does pass through the center of the circle is called diameter of that circle.
The only chords that are diameters are the chords that go through the center of the circle. All of the other chords are shorter.
This question does not make sense. All chords are not, in fact, diameters. Actually, only chords that pass through the center of a circle are diameters.
Generally, no. All circles contain an infinite number of chords, as a chord can be created between any two points on the circle. With an infinite number of points on the circle we can create an infinite number of chords.
Not always unless it is the diameter of a circle which is its largest chord