BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Co-ordinate (Very Simple :-0) GMAT PS#74

Expert replies
by [email protected] » Sun Sep 20, 2015 2:45 am
In the xy-coordinate plane, is point R equidistant from point (-3,-3) and (1, -3)?
1)The x-coordinate of point R is -1
2)Point R lies in the line y=-3

[NOTE: I have GMAT way of answer, but another approach would be appreciated. I didn't quite understand the answer on the GMAT book.]
Join the discussion
Source: — Problem Solving |

by Brent@GMATPrepNow » Sun Sep 20, 2015 6:24 am
[quot]In the xy coordinate plane, is point R equidistant from points (-3,-3) and (1,-3)?
1) The x coordiante of point R is -1
2) Point R lies on the line y= -3[/quote]

Target question: Is point R equidistant from points (-3,-3) and (1,-3)?

This question is a great candidate for rephrasing the target question.
Aside: We have a free video with tips on rephrasing the target question: https://www.gmatprepnow.com/module/gmat- ... cy?id=1100

First sketch the two given points
Image

Notice that the point (-1, -3) is equidistant from the two given points. MORE IMPORTANTLY, every point on the line x = -1 is equidistant from the two given points.
Image

So, we can rephrase the target question . . .
Rephrased target question: Is point R on the line x = -1?

Statement 1: The x coordinate of point R is -1
If the x-coordinate is -1, then point R is definitely on the line x = -1
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: Point R lies on the line y= -3
This tells us nothing about whether or not point R is on the line x = -1?
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Answer = A

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
Join the discussion