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A is a point on the circle and BC is a chord but not a diame

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A is a point on the circle and BC is a chord but not a diame [#permalink] New post 08 Sep 2017, 17:58
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A is a point on the circle and BC is a chord but not a diameter of the circle. (Refer the diagram attached)


Quantity A
Quantity B
X
90




A. The quantity on the left is greater
B. The quantity on the right is greater
C. Both are equal
D. The relationship cannot be determined without further information
[Reveal] Spoiler: OA

Attachments

File comment: Diagram
Circle.PNG
Circle.PNG [ 2.18 KiB | Viewed 766 times ]


Last edited by Carcass on 09 Sep 2017, 01:49, edited 2 times in total.
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CAT Tests
Re: A is a point on the circle and BC is a chord but not a diame [#permalink] New post 09 Sep 2017, 15:02
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Hey,

Any chord substend two angles on the circle. An acute angle in the larger section of the circle, since any chord divides the circle into two sections, and an obtuse angle in the smaller section.

When the chord passes through the center of the circle then the angles substended by the chord in both sections which are equal to 90 degrees.

Note that GRE figures are usually not to scale unless specifically mentioned.

Hence in the question the angle BAC can either be acute or obtuse! Hence D is correct option

Attachment:
circle.png
circle.png [ 43.88 KiB | Viewed 719 times ]

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Re: A is a point on the circle and BC is a chord but not a diame   [#permalink] 09 Sep 2017, 15:02
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A is a point on the circle and BC is a chord but not a diame

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