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In the xy- plane, does the point (4, 12) lie on the line K ?

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GMATD11
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In the xy- plane, does the point (4, 12) lie on the line K ? [#permalink] New post  27 Feb 2011, 06:14
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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

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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
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Re: In the xy- plane, does the point (4, 12) lie on the line K ? [#permalink] New post  27 Feb 2011, 06:58
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GMATD11 wrote:
In the xy- plane, does the point (4,12) lie on the line K.

a) The point (1,-7) lies on line K
b) The point (-2,2) lies on the line K

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


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.
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Re: In the xy- plane, does the point (4, 12) lie on the line K ? [#permalink] New post  27 Feb 2011, 06:27
Indeed C. the question can be rephrased as

Can you determine the EQUATION of line K?
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Re: In the xy- plane, does the point (4, 12) lie on the line K ? [#permalink] New post  23 Sep 2014, 05:31
I believe this question is ambiguous. It refers to line K, but never it says it is a straight line or a curve line or anything like that. If K is indeed a straight line the answer would be C, but since we don't have that information my answer was E.

Is this reasoning correct?
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Re: In the xy- plane, does the point (4, 12) lie on the line K ? [#permalink] New post  23 Sep 2014, 05:40
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nachobioteck wrote:
I believe this question is ambiguous. It refers to line K, but never it says it is a straight line or a curve line or anything like that. If K is indeed a straight line the answer would be C, but since we don't have that information my answer was E.

Is this reasoning correct?


No. Line always means straight line.
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In the xy- plane, does the point (4, 12) lie on the line K ? [#permalink] New post  13 Apr 2023, 17:02
For anyone who tried this question and got it wrong, I suggest drawing the link on the graph first. I missed this question at first because I didn't draw the line after combining statements 1 and 2.
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In the xy- plane, does the point (4, 12) lie on the line K ? [#permalink]
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