There is ___ tangent to a circle passing through a point lying inside the circle.
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There is ___ tangent to a circle passing through a point lying inside the circle.
no
one
two
three
A tangent to a circle must touch the circle at exactly one point on its circumference. Any point inside the circle is strictly in the interior, so no line passing through an interior point can touch the boundary of the circle.
A tangent is a line that touches the circle at exactly one point. Any line passing through a point inside the circle will intersect the boundary at two distinct points, making it a secant rather than a tangent. Therefore, there is no tangent to a circle passing through a point lying inside the circle.