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

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

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New post 29 Jan 2012, 22:56
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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
[Reveal] Spoiler: OA

Last edited by Bunuel on 30 Jan 2012, 02:35, edited 1 time in total.
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Re: Vertices of a traingle [#permalink]

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New post 30 Jan 2012, 02:33
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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
tr.PNG [ 17.38 KiB | Viewed 2444 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.

Answer: E.

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

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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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New post 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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New post 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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Re: The vertices of a triangle are on points A(a,b), B(2,2) [#permalink]

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New post 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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New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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

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