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# In the xy plane, point p has coordinates (a,b) and point Q

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Manager
Joined: 09 Jun 2010
Posts: 79
Followers: 1

Kudos [?]: 6 [0], given: 17

In the xy plane, point p has coordinates (a,b) and point Q [#permalink]  29 Jul 2010, 22:33
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Difficulty:

15% (low)

Question Stats:

79% (01:25) correct 21% (00:59) wrong based on 76 sessions
In the xy plane, point P has coordinates (a,b) and point Q has coordinate(c,d). What is the distance between point Q and point P ?

(1) b - d = 4
(2) a - c = 3

I dont understand this type of question, I mean the xy plane ! so if there a formula to follow in case then someone help me out

thanks
[Reveal] Spoiler: OA

Last edited by Bunuel on 12 Nov 2013, 02:35, edited 1 time in total.
Edited the question.
Math Expert
Joined: 02 Sep 2009
Posts: 27215
Followers: 4228

Kudos [?]: 41032 [3] , given: 5654

Re: D.S [#permalink]  29 Jul 2010, 22:47
3
KUDOS
Expert's post
xmagedo wrote:
In the xy plane, point p has coordinates (a,b) and point Q has coordinate(c,d). What is the distance between point Q ?

1 b-d=4
2 a-c=3

I dont understand this type of question, I mean the xy plane ! so if there a formula to follow in case then someone help me out

thanks

Distance between point $$A(x_1,y_1)$$ and $$B(x_2,y_2)$$ can be found by the formula $$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$$.

So the distance between point $$P(a,b)$$ and point $$Q(c,d)$$ would be $$D=\sqrt{(a-c)^2+(b-d)^2}$$.

(1) b-d=4 --> don't know a-c. Not sufficient.
(2) a-c=3 --> don't know b-d. Not sufficient.

(1)+(2) We have all necessary info. Sufficient: $$D=\sqrt{(a-c)^2+(b-d)^2}=\sqrt{3^2+4^2}=5$$.

For more on this topic check Coordinate Geometry chapter of Math Book (link in my signature).

Hope it helps.
_________________
Manager
Joined: 26 Feb 2013
Posts: 184
Followers: 0

Kudos [?]: 24 [1] , given: 25

Re: In the xy plane, point p has coordinates (a,b) and point Q [#permalink]  12 Nov 2013, 02:07
1
KUDOS
xmagedo wrote:
In the xy plane, point p has coordinates (a,b) and point Q has coordinate(c,d). What is the distance between point Q ?

(1) b-d=4
(2) a-c=3

I dont understand this type of question, I mean the xy plane ! so if there a formula to follow in case then someone help me out

thanks

Please correct the question, " What is the distance between point Q and point P ?
Math Expert
Joined: 02 Sep 2009
Posts: 27215
Followers: 4228

Kudos [?]: 41032 [0], given: 5654

Re: In the xy plane, point p has coordinates (a,b) and point Q [#permalink]  12 Nov 2013, 02:36
Expert's post
Skag55 wrote:
xmagedo wrote:
In the xy plane, point p has coordinates (a,b) and point Q has coordinate(c,d). What is the distance between point Q ?

(1) b-d=4
(2) a-c=3

I dont understand this type of question, I mean the xy plane ! so if there a formula to follow in case then someone help me out

thanks

Please correct the question, " What is the distance between point Q and point P ?

_____________
Done. Thank you.
_________________
Re: In the xy plane, point p has coordinates (a,b) and point Q   [#permalink] 12 Nov 2013, 02:36
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