Question

What is the length of line segment PQ?

4 units
5 units
6 units
9 units

Answer 1

hello!

I was looking for this answer as well, but I took the quiz and got it correct. The answer is 5 units.

good luck!

Answer 2

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

Step-by-step 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 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.

`MN^2=QN* PN`

`6^2=4* (x+4)`

`36=4x+16`

`20=4x`

`x=5`

Therefore, the length of line segment PQ is 5 units.