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In the figure above, if PQ is a line segment and PO = OQ, what are the

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In the figure above, if PQ is a line segment and PO = OQ, what are the [#permalink]

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New post 15 Dec 2017, 01:13
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A
B
C
D
E

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In the figure above, if PQ is a line segment and PO = OQ, what are the coordinates of Q?

(A) (s, r)
(B) (s, –r)
(C) (–s, –r)
(D) (–r, s)
(E) (–r, –s)

[Reveal] Spoiler:
Attachment:
2017-12-15_1300.png
2017-12-15_1300.png [ 6.21 KiB | Viewed 284 times ]
[Reveal] Spoiler: OA

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In the figure above, if PQ is a line segment and PO = OQ, what are the [#permalink]

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New post 15 Dec 2017, 03:35
In the figure above, if PQ is a line segment and PO = OQ, what are the coordinates of Q?

(A) (s, r)
(B) (s, –r)
(C) (–s, –r)
(D) (–r, s)
(E) (–r, –s)

[Reveal] Spoiler:
Attachment:
2017-12-15_1300.png
[/quote]

Q is in third Quad and any point in 3rd Quadrant both points are negative. So answer is E

Last edited by kamilkhan on 15 Dec 2017, 10:52, edited 1 time in total.

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Re: In the figure above, if PQ is a line segment and PO = OQ, what are the [#permalink]

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New post 15 Dec 2017, 04:16
Should be E. x coordinate -r, y coordinate -s

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Re: In the figure above, if PQ is a line segment and PO = OQ, what are the [#permalink]

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New post 15 Dec 2017, 05:42
Bunuel wrote:
Image
In the figure above, if PQ is a line segment and PO = OQ, what are the coordinates of Q?

(A) (s, r)
(B) (s, –r)
(C) (–s, –r)
(D) (–r, s)
(E) (–r, –s)

[Reveal] Spoiler:
Attachment:
2017-12-15_1300.png




Hi..

Ofcourse 3rd quadrant means that BOTH will be NEGATIVE..
So ans will be C or E..

Now draw a perpendicular on y axis from both P and Q..
Both triangles thus formed will be similar as all three angles are equal and PO =OQ
So the perpendicular drawn will be equal.... If it is s in 1st quadrant, it will be -s in III quadrant..
So -r,-s
E
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Kudos [?]: 6441 [0], given: 122

Re: In the figure above, if PQ is a line segment and PO = OQ, what are the   [#permalink] 15 Dec 2017, 05:42
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In the figure above, if PQ is a line segment and PO = OQ, what are the

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