If your question is " What is the shape of a sphere's tangent?" , then the answer is : a plane.
A plane basically touches the sphere at only one point and hence , it should be a plane.
It cannot be a straight line , as a straight line is a tangent for 2D objects,( ie.) a circle.
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Tangent
Two points. These may coincide if the line is a tangent to the sphere.
a ball
It looks like a ball.
Usually a straight line that touches a curve at one point. At the point of contact, the tangent is perpendicular to the radius of curvature.