What is the length of line segment PQ?

4 units

5 units

6 units

9 units

Answer

The correct option is second. The length of line segment PQ is 5 units.

Explanation

From the given figure, it is noticed that the MN is the tangent to the circle at point M, and its length is 6.

The line PQ is the secant line with length x, and QN is the external secant segment with length 4 .

According to the tangent secant theorem the square of tangent is equal to the product of external secant with the sum of the of secant and external secant.