Question

PQ is tangent to a circle at a point P on the circle. The number of tangents which can be drawn to the circle parallel to PQ, is ______.

Options

• 2

• 1

• many

• zero

Answer 1

PQ is tangent to a circle at a point P on the circle. The number of tangents which can be drawn to the circle parallel to PQ, is 1.

Explanation:

For any given tangent to a circle, there is only one other tangent that can be drawn parallel to it. These two parallel tangents touch the circle at the two endpoints of a diameter.

Since PQ is a tangent at point P, there is exactly 1 more tangent parallel to it at the other end of the diameter passing through P.