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# What is the slope of the line that goes through the origin a

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Manager
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What is the slope of the line that goes through the origin a [#permalink]  24 Mar 2011, 02:11
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Difficulty:

25% (low)

Question Stats:

74% (02:25) correct 25% (01:23) wrong based on 67 sessions
What is the slope of the line that goes through the origin and is equidistant from the two points p(1,11) and q(7,7)?

A. 2
B. 2.25
C. 2.50
D. 2.75
E. 3
[Reveal] Spoiler: OA

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Manager
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Re: co ordinate geometry [#permalink]  24 Mar 2011, 02:29
AnkitK wrote:
what is the slope of the line that goes through the origin and is equidistant from the two points p(1,11) and q(7,7)?
A.2
B.2.25
C.2.50
D.2.75
E.3

please provide some tips on co ordinate geometry or some usefull conceptual docs so that i could clear out the concepts of co ordinate geometry.

To get a slope of any line, we need at least 2 points that lie on line. We are already given that line passes through origin so one point is (0,0).

Also, if p and q are equidistant from the line then the mid-point of line segment connecting P and Q lines on the given lines. Mid point is ((7+1)/2, (11+7)/2) or (4,9).

So slope of line is (9-0)/(4-0) = 9/4 = 2.25.

Manager
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Re: co ordinate geometry [#permalink]  24 Mar 2011, 02:52
thnkxx beyondgmatscore.Also i was more interested in some theory concepts.
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Re: co ordinate geometry [#permalink]  24 Mar 2011, 05:00

math-coordinate-geometry-87652.html
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Re: co ordinate geometry [#permalink]  24 Mar 2011, 17:32
Expert's post
AnkitK wrote:
thnkxx beyondgmatscore.Also i was more interested in some theory concepts.

Most co-ordinate geometry questions become way easier the moment you draw them out... the extra seconds almost always provide a lot of value... Knowing some basic formulas helps and you should be very efficient in drawing lines from their equations, from their slope and a point, from two points etc... Check out the links given below for some concepts on lines, slopes and points....

http://www.veritasprep.com/blog/2010/12 ... he-graphs/
http://www.veritasprep.com/blog/2010/12 ... s-part-ii/
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Senior Manager
Joined: 13 Aug 2012
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Concentration: Marketing, Finance
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Re: co ordinate geometry [#permalink]  03 Jan 2013, 04:59
AnkitK wrote:

What is the slope of the line that goes through the origin and is equidistant from the two points p(1,11) and q(7,7)?
A.2
B.2.25
C.2.50
D.2.75
E.3

First, get the middle coordinate between (1,11) and (7,7)...
x = 1 + (7-1)/2 = 4
y = 7 + (11-7)/2 = 9

Second, get the slope of (4,9) and (0,0). m = 0-9 / 0-4 = 9/4 = 2.25

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Re: What is the slope of the line that goes through the origin a [#permalink]  24 Jan 2014, 13:52
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Re: What is the slope of the line that goes through the origin a   [#permalink] 24 Jan 2014, 13:52
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