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GMAT Prep Coordinate

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GMAT Prep Coordinate

by taneja.niks » Sat Oct 02, 2010 12:12 am
In the XY Plane, does the line with equation y=3x+2 contain the point (r,s)??

1) (3r+2-s)(4r+9-s) =0
2) (4r-6-s)(3r+2-s) =0


Can any of the instructors please suggest how to approach such questions.
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Source: — Data Sufficiency |
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by ashokkadam » Sat Oct 02, 2010 12:26 am
Though I am not a instructor, I am posting my approach for this question.

We have to find whether point(r,s) lies on the line y=3x+2.
i.e. if the point lies on the line, then s=3r+2 will be true.

From Stmt#1, we get 3r+2-s = 0 or 4r+9-s = 0
i.e. s=3r+2 or s=4r+9
i.e. two possible values, hence insufficient.

From Stmt#2, we get 4r-6-s = 0 or 3r+2-s = 0
i.e. s=4r-6 or s=3r+2
i.e. two possible values, hence insufficient.

Combining both statements together, we get s=3r+2, hence Sufficient and C is the answer.
taneja.niks wrote:In the XY Plane, does the line with equation y=3x+2 contain the point (r,s)??

1) (3r+2-s)(4r+9-s) =0
2) (4r-6-s)(3r+2-s) =0


Can any of the instructors please suggest how to approach such questions.
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