Question

Compare the quantity in Column A with the quantity in Column B. PA is tangent to the circle at A.
https://study.ashworthcollege.edu/access/content/group/45b8c516-1008-46d7-aa1d-bb9b62c786ff/geometry_exam_12_files/mc011-2.jpg

Answer 1

Column A: AP
Column B: AX

Answer 2

A. The quantity in Column A is greater.

B. The quantity in Column B is greater.

C. The two quantities are equal.

D. The relationship cannot be determined from the information given.

Answer 3

From what I can see D is the answer, but I might be missing something so maybe someone who knows better than me will answer :).

Answer 4

Okay, thanks:)

Answer 5

@Directrix Help me out again please?

Answer 6

Are we given that segment AP is a tangent to the circle. This type problem, Quantitative Comparison, was on the SATs at one time. So, if segment AP is a tangent, it will be stated. Look at the question and see. And, if there are several questions based on this diagram, look above the first question for given information.

Answer 7

Whats given, im not sure how to read the picture?

Answer 8

I just know the two things im supposed to compare and that AP is tangent.

Answer 9

ok here is what you need...look at first 2 theorems

http://en.wikipedia.org/wiki/Circles#Theorems

Answer 10

from those you can find....
AX = 9

AP = 2sqrt13

Answer 11

AP = 2sqrt13 is based on the assumption that segment AP is a tangent, is it not? @dumbcow

Answer 12

it states that AP is tangent to circle

Answer 13

@OpenSessame The solution for AX comes from this theorem:

Answer 14

So that would mean that AP is bigger?

Answer 15

The problem is thats what i got at first and it said it was wrong. And Directrix is says that PA is tangent of the circle.

Answer 16

in original post

"Compare the quantity in Column A with the quantity in Column B. PA is tangent to the circle at A. "

Answer 17

1) The problem is thats what i got at first and it said it was wrong.
--> I don't know what you are saying here. What did you write the first time and was told what you wrote is wrong?

2) is says that PA is tangent of the circle. Okay. Finally, I see it. Thanks for your patience on that.

Answer 18

@OpenSessame Tell me about this: 1) The problem is thats what i got at first and it said it was wrong.
--> I don't know what you are saying here. What did you write the first time and was told what you wrote is wrong?

Answer 19

That AP is the bigger quantity.

Answer 20

AX = 9 = sqrt(81) ----> LARGER

AP = 2sqrt13 = sqrt(52)

Answer 21

So the answer would be B?

Answer 22

Yes.

Answer 23

Okay thanks! I have a few other questions i need help with...

Answer 24

Close this thread and open a new post. I'll meet you at the new post.

Answer 25

Okay!