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The distance from the X-axis to point P is half the distance [#permalink]
26 Dec 2009, 16:11

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A

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E

Difficulty:

45% (medium)

Question Stats:

59% (02:13) correct
41% (00:50) wrong based on 103 sessions

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?

Re: Distance Question [#permalink]
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.

Re: The distance from the X-axis to point P is half the distance [#permalink]
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?

Re: The distance from the X-axis to point P is half the distance [#permalink]
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.

gmatclubot

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

I couldn’t help myself but stay impressed. young leader who can now basically speak Chinese and handle things alone (I’m Korean Canadian by the way, so...