Question

From an external point P, a tangent PA is drawn to circle. The number of tangents through P parallel to PA is ______.

Options

• 2

• more than 2

• 1

• 0

Answer 1

From an external point P, a tangent PA is drawn to circle. The number of tangents through P parallel to PA is 0.

Explanation:

Let P be an external point; a tangent PA is drawn to a circle.

We know that for a given tangent, we can draw only one parallel tangent. But through P, no tangent can be drawn parallel to PA.

∴ The number of tangents through P parallel to PA is 0.