GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 22 Jun 2018, 00:21

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

On the xy-coordinate plane, point A lies on the y-axis and

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

1 KUDOS received
Manager
Manager
User avatar
Joined: 28 May 2009
Posts: 153
Location: United States
Concentration: Strategy, General Management
GMAT Date: 03-22-2013
GPA: 3.57
WE: Information Technology (Consulting)
GMAT ToolKit User
On the xy-coordinate plane, point A lies on the y-axis and [#permalink]

Show Tags

New post 06 Mar 2013, 11:13
1
9
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

76% (01:37) correct 24% (02:28) wrong based on 319 sessions

HideShow timer Statistics

On the xy-coordinate plane, point A lies on the y-axis and point B lies on the x-axis. Points A, B, and C form a right triangle with a 90-degree angle at point C and an area of 30. If AC is parallel to the x-axis, and BC is parallel to the y-axis, which of the following could be the coordinates of point C?

(A) (−6, −5)
(B) (−5, 12)
(C) (6, −9)
(D) (9, −8)
(E) (10, −3)

_________________

New to GMAT Club? Start here

Kindle Flashcards - Quant (Official Gmat Club, miguemick's Quant topics), and Verbal (Official Gmat Club) - in Kindle (azw3) format

3 KUDOS received
VP
VP
User avatar
S
Status: Top MBA Admissions Consultant
Joined: 24 Jul 2011
Posts: 1370
GMAT 1: 780 Q51 V48
GRE 1: 1540 Q800 V740
Re: On the xy-coordinate plane, point A lies on the y-axis and [#permalink]

Show Tags

New post 06 Mar 2013, 11:39
3
The area of the triangle so formed will be = 1/2 x base x height = 1/2 x |(X-coordinate of point C)| x |(Y-coordinate of point C)| = 30
=> |product of coordinates of point C| = 60

Choice B is the only option that leads to this, and is the answer.

Please note here that we need to use the modulus signs because we do not know if point A lies on the positive Y axis and if B lies on the positive X axis.
_________________

GyanOne | Top MBA Rankings and MBA Admissions Blog

Top MBA Admissions Consulting | Top MiM Admissions Consulting

Premium MBA Essay Review|Best MBA Interview Preparation|Exclusive GMAT coaching

Get a FREE Detailed MBA Profile Evaluation | Call us now +91 98998 31738

3 KUDOS received
Verbal Forum Moderator
User avatar
Joined: 10 Oct 2012
Posts: 620
Premium Member
Re: On the xy-coordinate plane, point A lies on the y-axis and [#permalink]

Show Tags

New post 06 Mar 2013, 11:53
3
1
megafan wrote:
On the xy-coordinate plane, point A lies on the y-axis and point B lies on the x-axis. Points A, B, and C form a right triangle with a 90-degree angle at point C and an area of 30. If AC is parallel to the x-axis, and BC is parallel to the y-axis, which of the following could be the coordinates of point C?

(A) (−6, −5)
(B) (−5, 12)
(C) (6, −9)
(D) (9, −8)
(E) (10, −3)


You could have B and A on either the positive/negative x and y axis respectively. So a total of 4 triangles are possible, which have a right angle at C. Now, for the rectangle OACB, where O is the origin, the area of the other triangle OAB will also be 30. Now the co-ordinate of B and A will be the (x,y) co-ordinates of C respectively. Thus, for B = (-5,0) and A = (0,12), we have the area of the triangle OAB as 30.

B.
Attachments

1.jpg
1.jpg [ 19.53 KiB | Viewed 3924 times ]


_________________

All that is equal and not-Deep Dive In-equality

Hit and Trial for Integral Solutions

Intern
Intern
avatar
Joined: 22 Dec 2012
Posts: 16
GMAT 1: 720 Q49 V39
Re: On the xy-coordinate plane, point A lies on the y-axis and [#permalink]

Show Tags

New post 09 Mar 2013, 01:46
okay.. the important thing to note is that AC is // to x-axis and BC is // to Y-axis.
and then we know the area is 30 so => the product of X coordinate of C and Y coordinate of C= 60
only answer choice that satisfies the same is (5,12) sign doesn't matter really!!
Director
Director
User avatar
G
Joined: 23 Jan 2013
Posts: 598
Schools: Cambridge'16
Re: On the xy-coordinate plane, point A lies on the y-axis and [#permalink]

Show Tags

New post 22 Dec 2014, 01:30
Only
(5*12)/2=30

B
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 7021
Premium Member
Re: On the xy-coordinate plane, point A lies on the y-axis and [#permalink]

Show Tags

New post 11 Apr 2017, 07:02
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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Re: On the xy-coordinate plane, point A lies on the y-axis and   [#permalink] 11 Apr 2017, 07:02
Display posts from previous: Sort by

On the xy-coordinate plane, point A lies on the y-axis and

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.