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If points A and B are 5 units apart, which of the following

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If points A and B are 5 units apart, which of the following

by vinni.k » Wed Jan 29, 2014 9:10 pm
If points A and B are 5 units apart, which of the following can have only one possible value?

I. The area of a square region with side AB
II. The circumference of a circle passing through points A and B
III. The area of a rectangular region with diagonal AB

A. I only
B. II only
C. III only
D. I and II only
E. I and III only

OA is A

Can anyone please explain II with the help of a diagram, and what is the logic behind III.

Thanks & Regards
Vinni
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by GMATGuruNY » Thu Jan 30, 2014 12:12 am
vinni.k wrote:If points A and B are 5 units apart, which of the following can have only one possible value?

I. The area of a square region with side AB
II. The circumference of a circle passing through points A and B
III. The area of a rectangular region with diagonal AB

A. I only
B. II only
C. III only
D. I and II only
E. I and III only

OA is A

Can anyone please explain II with the help of a diagram, and what is the logic behind III.

Thanks & Regards
Vinni
II. The circumference of a circle passing through points A and B
Image
The figure above shows that different circumferences are possible.
Eliminate B and D, which include statement II.

III: The area of a rectangular region with diagonal AB
Image
The figure above shows that different areas are possible.
Eliminate C and E, which include statement III.

The correct answer is A.
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by vinni.k » Thu Jan 30, 2014 6:00 am
Thank you for clearing the doubt. I was just considering diagram no.1 for II.

Regards
Vinni
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