infinite
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Tangents ..... are parallel under conditions you gave. A tangent to a circle is perpindicular to the radius (diameter) at the point of contact. 2 lines perpindicular to the same line are parallel.
An infinite number. / There is no limit.
Only one which is a tangent to that circle.
no; for example, a circle and a circle within that circle have no common tangents.
Infinite when chords are parallel to the circle's diameter