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# In the rectangular coordinate plane, points P, Q, and R have

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In the rectangular coordinate plane, points P, Q, and R have [#permalink]  26 Jun 2018, 11:32
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In the rectangular coordinate plane, points P, Q, and R have coordinates (2, 3), (5, 6), and (5, 3), respectively.

 Quantity A Quantity B $$PQ$$ $$QR$$

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: In the rectangular coordinate plane, points P, Q, and R have [#permalink]  28 Jun 2018, 16:19
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Carcass wrote:
In the rectangular coordinate plane, points P, Q, and R have coordinates (2, 3), (5, 6), and (5, 3), respectively.

 Quantity A Quantity B $$PQ$$ $$QR$$

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Here
If two coordinates in rectangular coordinate plane is = (x1,y1) and (x2,y2)
then the distance between two coordinates in a rectangular co-ordinate plane =$$\sqrt {(x2-x1)^2 + (y2 - y1)^2}$$
the distance PQ = $$\sqrt{(5 - 2)^2 + (6 - 3)^2}$$= $$\sqrt{18}$$ = $$3\sqrt{3}$$

the distance QR = $$\sqrt{(5 - 5)^2 + (3 - 6)^2}$$ = $$\sqrt 9$$ = 3

Hence PQ > QR ; So option A.
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Re: In the rectangular coordinate plane, points P, Q, and R have   [#permalink] 28 Jun 2018, 16:19
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