Not true because only the largest chord passes through the center of a circle which is its diameter
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Not true.
Only one chord passes through the circle centre. It is named the 'diameter.
The secant of a circle passes through the center of a circle sometimes
No, it does not need to pass through the centre.
Yes. In geometry, a diameter of a Circleis any straight Line_segmentthat passes through the center of the circle and whose endpoints are on the circle.
A chord of a circle is a line segment drawn from any point on the curcumference of the circle to any other point on the circumference of the circle. The chord may pass through the center of the circle, in which case it is the diameter of the circle. The length of the chord will less than or equal to the diameter of the circle but greater than zero. If you draw a circle and start drawing chords, you'll quickly discover that there are an infinite number of unique chords that can be drawn in that circle. A link can be found below, and you can gather more information with the "click" of your mouse.
If the tangent circles are outside of one another, then neither passes through the center of the other. If one circle is within the other, then the inner tangent circle might contain the center point of the larger circle. There will be infinitely many inner tangent circles that do not.