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Value of s

Expert replies
by binaras » Thu Apr 23, 2015 8:10 pm
Hi,

Need help answering the question in the attached screen shot.

Binara
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Source: — Problem Solving |

by Brent@GMATPrepNow » Thu Apr 23, 2015 9:28 pm
Image

In the figure above, points P and Q lie on the circle with center O. What is the value of S?

a) 1/2
b) 1
c) √2
d) √3
e) (√2)/2
Here's one approach:
Image

So, s = 1
Answer: B

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Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
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by GMATGuruNY » Fri Apr 24, 2015 4:08 am
Alternate approach:

If point (a, b) is rotated about the origin 90 degrees clockwise, the coordinates of the resulting point are (b, -a).
In the problem above, (-√3, 1) is rotated about the origin 90 degrees clockwise to yield (s, t).
Thus, (s, t) = (1, √3).

The correct answer is B.
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