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27 Feb 2011, 07:14
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C
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Difficulty:
5%
(low)
Question Stats:
87% (00:55) correct
13%
(01:11)
wrong
based on 1093
sessions
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Date
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In the xy- plane, does the point (4, 12) lie on the line K.
(1) The point (1, -7) lies on line K
(2) The point (-2, 2) lies on the line K
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
(1) The point (1, -7) lies on line K
(2) The point (-2, 2) lies on the line K
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
a) only with this information that (1,-7) lies on the line we cannot tell whether (4,12) lies on the line k or not -- NS
b) only with this information that (-2,2) lies on the line we cannot tell whether (4,12) lies on the line k or not -- NS
a+b) no point does not lie on K
C
Pls don't blame me that if i know the solution why did i post it....because solution clicked in my mind when i was typing the question.
Thanks
b) only with this information that (-2,2) lies on the line we cannot tell whether (4,12) lies on the line k or not -- NS
a+b) no point does not lie on K
C
Pls don't blame me that if i know the solution why did i post it....because solution clicked in my mind when i was typing the question.
Thanks
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27 Feb 2011, 07:58
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GMATD11
You are most welcome to post any questions no matter whether you have a solution for it or not.
As for the problem above: if we knew the exact equation of the line K then we would be able to say whether it passes through the point (4,12). Each statement alone gives us a single point of the line K, hence we cannot get the equation needed, for example the line passing through the point (1,-7) might pass through the point (4,12) as well as NOT pass this point. When taken together we have two distinct points which define the line K thus we can say whether it passes the point (4,12) or not.
Answer: C.
For more check Coordinate Geometry chapter of Math Book: math-coordinate-geometry-87652.html
Hope it helps.
General Discussion
27 Feb 2011, 07:27
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Indeed C. the question can be rephrased as
Can you determine the EQUATION of line K?
Can you determine the EQUATION of line K?
