m05 #13 : GMAT Club Tests

m05 #13

Oldest

Best Reply

Author

Message

Intern

Joined: 26 May 2012

Posts: 26

GMAT 1: Q V

Followers: 1

Kudos [?]: 1 [0], given: 0

m05 #13 [#permalink]

31 May 2012, 09:10

00:00

Question Stats:

100% (00:00) correct

0% (00:00) wrong

based on 0 sessions

In xy plane, line K passes through the points A(6, -7) and B(4, 5). Does line K also pass through point C?

Coordinates of Point C are ( 5, -1)
Point C is equidistant from Point A and Point B.

I don't quite understand this.. can someone please explain clearly?

[Reveal] Spoiler: OA

Intern

Joined: 30 May 2012

Posts: 7

Followers: 0

Kudos [?]: 0 [0], given: 0

Re: m05 #13 [#permalink]

31 May 2012, 09:52

gmatmember85 wrote:

Using the given information, we know an equation for the line K is y+7=((-7-5)/(6-4))(x-6)=-6*(x-6). Given an equation for the line, the coordinates of any point on the xy-plane are sufficient to determine whether it is on the line. Hence, statement 1 is sufficient. Statement 2 is not sufficient because any point on the line perpendicular to K passing through the midpoint of AB is equidistant from A and B. Clearly the midpoint of AB lies on AB but the other points do not. The answer is A.

GMAT Club team member

Joined: 02 Sep 2009

Posts: 11611

Followers: 1801

Kudos [?]: 9597 [0], given: 829

Re: m05 #13 [#permalink]

31 May 2012, 09:58

In xy plane, line K passes through the points A(6, -7) and B(4, 5). Does line K also pass through point C?

Notice that since we have two distinct points of line K, then we can find its equation.

(1) Coordinates of Point C are (5, -1) --> we know the equation of line K, hence we can find whether it passes through some particular point. Sufficient.

(2) Point C is equidistant from point A and point B --> point C may be the midpoint of the line segment AB, so on line K. But point C can also be anywhere on the line which is perpendicular to line K and passes through that midpoint. Not sufficient.

Answer: A.
_________________

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory

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. NEW!!!

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. NEW!!!

What are GMAT Club Tests?
25 extra-hard Quant Tests

Find out what's new at GMAT Club - latest features and updates

Re: m05 #13 [#permalink] 31 May 2012, 09:58

		Similar topics	Author	Replies	Last post
Similar Topics:	13	m05 #22	vignesh53	23	21 Sep 2008, 11:08
	5	M05 #4	dczuchta	21	24 Sep 2008, 10:57
	2	M05 #16	snowy2009	15	08 Oct 2008, 16:27
	1	m05 #10	echizen	20	11 Oct 2008, 09:25
		m05	bibha	3	13 Jul 2010, 09:39

m05 #13

Moderator: Bunuel

Main navigation

GMAT Resources

Partners

MBA Resources

GMAT ® is a registered trademark of the Graduate Management Admission Council ® (GMAC ®). GMAT Club's website has not been reviewed or endorsed by GMAC.

GMAT Courses

Admissions Consulting

m05 #13

m05 #13

Main navigation

GMAT Resources

Partners

MBA Resources