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# The vertices of a triangle are on points A(a,b), B(2,2)

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Intern
Joined: 13 Mar 2007
Posts: 15
The vertices of a triangle are on points A(a,b), B(2,2)  [#permalink]

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Updated on: 30 Jan 2012, 02:35
4
00:00

Difficulty:

65% (hard)

Question Stats:

58% (02:04) correct 42% (01:57) wrong based on 225 sessions

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The vertices of a triangle are on points A(a,b), B(2,2), C(2,-2). Is the origin (0,0) bounded by the sides of the triangle?

(1) The slope of the line AB is positive and the slope of the line AC positive
(2) b is negative

Originally posted by kenguva on 29 Jan 2012, 22:56.
Last edited by Bunuel on 30 Jan 2012, 02:35, edited 1 time in total.
Topic moved to DS subforum
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Joined: 02 Sep 2009
Posts: 51185
Re: Vertices of a traingle  [#permalink]

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30 Jan 2012, 02:33
1
2
Topic moved to DS subforum.

kenguva wrote:
The vertices of a triangle are on points A(a,b), B(2,2), C(2,-2). Is the origin (0,0) bounded by the sides of the triangle?

(1) The slope of the line AB is positive and the slope of the line AC positive
(2) b is negative

Best way to solve this problem is just draw two possible scenarios:
Attachment:

tr.PNG [ 17.38 KiB | Viewed 2812 times ]
You can see that both statements are satisfied and for A1 the origin bounded by the sides of the triangle and for A2 the origin is NOT bounded by the sides of the triangle, hence even taken together the statements are not sufficient.

For more on this topic check Coordinate Geometry chapter of Math Book: math-coordinate-geometry-87652.html

P.S.
Please post PS questions in the PS subforum: gmat-problem-solving-ps-140/
Please post DS questions in the DS subforum: gmat-data-sufficiency-ds-141/

No posting of PS/DS questions is allowed in the main Math forum.
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Re: The vertices of a triangle are on points A(a,b), B(2,2)  [#permalink]

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30 Jan 2012, 09:55
Tough one... Bunnel thanks for the explanation
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Re: The vertices of a triangle are on points A(a,b), B(2,2)  [#permalink]

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30 May 2013, 22:45
kenguva wrote:
The vertices of a triangle are on points A(a,b), B(2,2), C(2,-2). Is the origin (0,0) bounded by the sides of the triangle?

(1) The slope of the line AB is positive and the slope of the line AC positive
(2) b is negative

Bunuel, could you please explain what is b? I couldn't see any reference to it in the question.
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Joined: 02 Sep 2009
Posts: 51185
Re: The vertices of a triangle are on points A(a,b), B(2,2)  [#permalink]

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31 May 2013, 01:25
mal208213 wrote:
kenguva wrote:
The vertices of a triangle are on points A(a,b), B(2,2), C(2,-2). Is the origin (0,0) bounded by the sides of the triangle?

(1) The slope of the line AB is positive and the slope of the line AC positive
(2) b is negative

Bunuel, could you please explain what is b? I couldn't see any reference to it in the question.

b is Y coordinate of point A: "The vertices of a triangle are on points A(a,b), B(2,2), C(2,-2). Is the origin (0,0) bounded by the sides of the triangle?"

Hope it helps.
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Re: The vertices of a triangle are on points A(a,b), B(2,2)  [#permalink]

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30 Oct 2017, 15:10
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: The vertices of a triangle are on points A(a,b), B(2,2) &nbs [#permalink] 30 Oct 2017, 15:10
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