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value of s (GMAT Prep 2)

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by alex.gellatly » Sat Jul 21, 2012 1:18 am
In the figure above (bellow), points P and Q lie on the circle with center O. What is the value of s?

1/2
1
root2
root3
(root2)/(2)
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by Birottam Dutta » Sat Jul 21, 2012 1:24 am
As you can see,

The figure is symmetrical around the Y axis. Also, both P and Q are points on the circumference of a circle so distance of P and Q from the origin is also the same.

Therefore, numerical value of s will be same as x coordinate of P but with sign reversed.

So, s = sqrt 3.

Hence D is the answer!
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by Anurag@Gurome » Sat Jul 21, 2012 2:27 am
This problem can be solved without much calculation if you draw the figure properly, i.e. more or less to the scale as below,
Image
If you can't see the figure above, click here >> https://postimage.org/image/ivbd77mfr/

Now, the two right angle triangles are congruent triangles as their angles have same measures and their hypotenuse is also equal.

Hence, s must be equal to 1 and t must be equal to √3

The correct answer is B.
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