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What is the length of chord AB in circle O above?

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What is the length of chord AB in circle O above? [#permalink] New post 06 Dec 2012, 04:34
00:00
A
B
C
D
E

Difficulty:

  85% (hard)

Question Stats:

31% (02:07) correct 69% (00:50) wrong based on 64 sessions
Attachment:
Chord.png
Chord.png [ 12.13 KiB | Viewed 1288 times ]
What is the length of chord AB in circle O above?

(1) OQ = 5
(2) OP = 3

[Reveal] Spoiler:
Gmat Hacks Challenge Problem found in the Data Sufficiency Challenge set, I thought the answer was "C" because if you know OQ than you can draw a line to OA and form a right triangle and than if you have the heigh OP you can find the missing side (AP) which is half of AB.


OA:
34. E
Explanation: Most measurements in a circle (radius, diameter, circumference, area) are closely related, but the same is not true of chords. Statement (1) is not sufficient, as knowing the length of the radius tells us nothing about the length of the chord, which could be placed anywhere between the top of the circle and just above the center. Statement (2) is also insufficient— even if we know the placement of point P on the radius, there’s no way to use that to …find the length of the chord.

Taken together, we still have little information about chord AB. Unless the chord is part of a quadrilateral, triangle, or other fi…gure, it’s not possible to …find the length of a chord from the measurements of the circle that contains it.
[Reveal] Spoiler: OA

Last edited by Bunuel on 06 Dec 2012, 05:14, edited 1 time in total.
Edited the question.
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Re: What is the length of chord AB in circle O above? [#permalink] New post 06 Dec 2012, 04:44
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What is the length of chord AB in circle O above?
(1) OQ = 5
(2) OP = 3


E. Your reference that OQ is perpendicular to AB is incorrect.
The perpendicular from center of circle on a chord bisects the chord.
Just looking at figure and figuring that it is perpendicular is incorrect.

Hope its clear.
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Re: What is the length of chord AB in circle O above? [#permalink] New post 28 Mar 2014, 08:46
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joshlevin90 wrote:
could some one explain why you cant make a triangle with the given information to find AB


Not sure which triangle you are taking about...

As for the answer: all we know even when we combine the statements is the radius of the circle (r=OQ=5) and the positioning of point P on OQ (OP=3). We know nothing about the chord AB other than it passes through point P: it can be at any angle to OQ, which gives different values of its length.
Attachment:
Untitled.png
Untitled.png [ 12.16 KiB | Viewed 490 times ]


Hope it's clear.
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Re: What is the length of chord AB in circle O above? [#permalink] New post 06 Dec 2012, 04:46
BangOn wrote:
What is the length of chord AB in circle O above?
(1) OQ = 5
(2) OP = 3


E. Your reference that OQ is perpendicular to AB is incorrect.
The perpendicular from center of circle on a chord bisects the chord.
Just looking at figure and figuring that it is perpendicular is incorrect.

Hope its clear.



Wow stupid mistake on my part. Thank you!
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Re: What is the length of chord AB in circle O above? [#permalink] New post 06 Dec 2012, 04:49
Its ok. Mistakes happen.
Press Kudos instead of thanks.
:):)
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Re: What is the length of chord AB in circle O above? [#permalink] New post 28 Mar 2014, 08:35
could some one explain why you cant make a triangle with the given information to find AB
Re: What is the length of chord AB in circle O above?   [#permalink] 28 Mar 2014, 08:35
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