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# In the figure above, if QR = 4 and PQ = 3, then the (x,y) coordinates

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Math Expert
Joined: 02 Sep 2009
Posts: 53020
In the figure above, if QR = 4 and PQ = 3, then the (x,y) coordinates  [#permalink]

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13 Dec 2017, 20:10
00:00

Difficulty:

15% (low)

Question Stats:

85% (01:12) correct 15% (00:59) wrong based on 42 sessions

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In the figure above, if QR = 4 and PQ = 3, then the (x,y) coordinates of point P are

(A) (–4,4)
(B) (–3,4)
(C) (–3,3)
(D) (–2,3)
(E) (–2,4)

Attachment:

2017-12-14_0808_001.png [ 6.01 KiB | Viewed 573 times ]

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Joined: 23 Oct 2017
Posts: 64
Re: In the figure above, if QR = 4 and PQ = 3, then the (x,y) coordinates  [#permalink]

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13 Dec 2017, 20:36
Let PQ intersect y axis at A & QR intersect x axis at B
As per figure, PQ || x axis, QR || y axis (PQ, QR & QR x axis being mutually perpendicular)

Cordinates of P (x,y) would be given by x = - length(PA); y = length (QB)

Given: PQ = 3; QR =4
PQ=PA +AQ
3 = PA + AQ;

QR = QB + BR
since QR = 4; R (-1,1) => RB =1;
QB = 3

AQ=OB = 1 (as per Rs cordinate)
3 = PA + 1;
PA =2

Therefor P (-PA, QB) = (-2,3)
Re: In the figure above, if QR = 4 and PQ = 3, then the (x,y) coordinates   [#permalink] 13 Dec 2017, 20:36
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# In the figure above, if QR = 4 and PQ = 3, then the (x,y) coordinates

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