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

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In the xy- plane, does the point (4,12) lie on the line K. [#permalink]

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27 Feb 2011, 07:14
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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

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
[Reveal] Spoiler: OA

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Re: In the xy- plane [#permalink]

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27 Feb 2011, 07:27
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 [#permalink]

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27 Feb 2011, 07:58
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.

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]

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23 Sep 2014, 06:31
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]

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23 Sep 2014, 06:40
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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Re: In the xy- plane, does the point (4,12) lie on the line K. [#permalink]

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23 Sep 2014, 10:40
GMATD11 wrote:
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) 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

Bunuel can we say we need both A and B because we need to determine the slope. Because if three points are on the same line then slope would remain same for each with respect to any other, else the slope will differ. Is there a flaw in my logic ?
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Re: In the xy- plane, does the point (4,12) lie on the line K. [#permalink]

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13 Feb 2016, 19:45
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Re: In the xy- plane, does the point (4,12) lie on the line K.   [#permalink] 13 Feb 2016, 19:45
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