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What is the length of line segment PQ?

4 units
5 units
6 units
9 units

What is the length of line segment PQ? 4 units 5 units 6 units 9 units-example-1

2 Answers

2 votes
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!
User Jasmin Sojitra
by
8.6k points
4 votes

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.

User Stefana
by
8.5k points

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