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The distance from the X-axis to point P is half the distance

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The distance from the X-axis to point P is half the distance [#permalink] New post 26 Dec 2009, 16:11
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The distance from the X-axis to point P is half the distance from the y-axis to point P. if the coordinates of P are (x,-7), how many units is P from the y-axis?

A. 3.5
B. 7
C. 9.8
D. 10.5
E. 14
[Reveal] Spoiler: OA
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Re: Distance Question [#permalink] New post 26 Dec 2009, 16:25
Expert's post
tania wrote:
The distance from the X-axis to point P is half the distance from the y-axis to point P. if the coordinates of P are (x,-7), how many units is P from the y-axis?

A. 3.5
B. 7
C. 9.8
D. 10.5
E. 14

The ans is E.

Can someone explain me this problem?


Couple of things: when we talk about the distance from the point to the line (any line including x and y-axis), the distance means the shortest distance, which is the length of the perpendicular from the point to the given line.

Back to the question. The point x has the coordinates (x,-7), which means that it's somewhere on the line y=-7. Hence the distance from this point to the X-axis is 7 units.

As the distance from the point to X-axis is half of the distance from it to the Y-axis, then the distance from it to the Y-axis is 7*2=14.

Answer: E.

Hope it's clear.
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Manager
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Re: Distance Question [#permalink] New post 26 Dec 2009, 22:58
P=(x,-7)
---> dis from pt. P to x axis=7 units
& dis from pt P to Y axis =x units

as per Q

The distance from the X-axis to point P = half the distance from the y-axis to point P
--->7=1/2*(x)
or x=7*2=14 units
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Manager
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Joined: 18 Oct 2013
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Location: India
Concentration: Technology, Finance
GMAT 1: 580 Q48 V21
WE: Information Technology (Computer Software)
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Re: The distance from the X-axis to point P is half the distance [#permalink] New post 20 Nov 2013, 10:38
Easy one to achieve.

According to condition distance from x-axis= 0.5(distance from y-axis) and P is (x,-7) which means distance from x-axis P is always 7 unit far.
Simply ask what is the distance from y so that 2x=y?

So, Distance from y=14.

E is the answer.
No calculation just mind work.
Manager
Manager
avatar
Joined: 18 Oct 2013
Posts: 81
Location: India
Concentration: Technology, Finance
GMAT 1: 580 Q48 V21
WE: Information Technology (Computer Software)
Followers: 2

Kudos [?]: 29 [0], given: 25

Re: The distance from the X-axis to point P is half the distance [#permalink] New post 20 Nov 2013, 10:39
Easy one to achieve.

According to condition distance from x-axis= 0.5(distance from y-axis) and P is (x,-7) which means distance from x-axis P is always 7 unit far.
Simply ask what is the distance from y so that 2x=y?

So, Distance from y=14.

E is the answer.
No calculation just mind work.
Re: The distance from the X-axis to point P is half the distance   [#permalink] 20 Nov 2013, 10:39
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