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

It is currently 18 Aug 2018, 18:45

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

In the XY-plane, what is the area of the triangle formed by the line 3

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 47983
In the XY-plane, what is the area of the triangle formed by the line 3  [#permalink]

Show Tags

New post 11 Jul 2017, 02:34
1
1
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

90% (01:01) correct 10% (01:47) wrong based on 132 sessions

HideShow timer Statistics

Senior CR Moderator
User avatar
V
Status: Long way to go!
Joined: 10 Oct 2016
Posts: 1394
Location: Viet Nam
GMAT ToolKit User Premium Member
Re: In the XY-plane, what is the area of the triangle formed by the line 3  [#permalink]

Show Tags

New post 11 Jul 2017, 02:44
Bunuel wrote:
In the XY-plane, what is the area of the triangle formed by the line 3y − 4x = 24 and the X and Y axes?

(A) 6
(B) 14
(C) 24
(D) 36
(E) 48


Line \(3y-4x=24\) intersects \(Ox\) at \(A(-6, 0)\)
Line \(3y-4x=24\) intersects \(Oy\) at \(B(0, 8)\)

Hence, the area of the triangle OAB is \(\frac{6*8}{2}=24\)

The answer is C
_________________

Actual LSAT CR bank by Broall

How to solve quadratic equations - Factor quadratic equations
Factor table with sign: The useful tool to solve polynomial inequalities
Applying AM-GM inequality into finding extreme/absolute value

New Error Log with Timer

Intern
Intern
avatar
B
Joined: 19 Oct 2015
Posts: 30
Re: In the XY-plane, what is the area of the triangle formed by the line 3  [#permalink]

Show Tags

New post 14 Jul 2017, 09:08
3y=4x+24
(x,y) can have values - (-6,0),(-3,4),(0,8)

when this is traced on graph --> The triangle is formed with Base - 6 and Height - 8
1/2*6*8= 24

Answer is C
Director
Director
User avatar
P
Joined: 18 Aug 2016
Posts: 631
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
GMAT ToolKit User Premium Member Reviews Badge
Re: In the XY-plane, what is the area of the triangle formed by the line 3  [#permalink]

Show Tags

New post 14 Jul 2017, 09:11
1
On solving 3y-4x =24 at y=0 and x=0 u get 8 and -6 . Area will be 1/2 of 48
24
C


Sent from my iPhone using GMAT Club Forum
_________________

We must try to achieve the best within us


Thanks
Luckisnoexcuse

Manager
Manager
avatar
B
Joined: 06 Nov 2016
Posts: 105
Location: India
GMAT 1: 710 Q50 V36
GPA: 2.8
Reviews Badge
Re: In the XY-plane, what is the area of the triangle formed by the line 3  [#permalink]

Show Tags

New post 14 Jul 2017, 11:41
1
3y -4x =24 implies the line passes through (6,0) and (0,8)
hence area of triangle formed by this line and the two axes is area of a triangle with 6 as base and 8 as height

or 1/2*8*6 = 24
Option C

+1 kudos if you like the post.
Manager
Manager
avatar
B
Joined: 24 Jun 2017
Posts: 122
Re: In the XY-plane, what is the area of the triangle formed by the line 3  [#permalink]

Show Tags

New post 14 Jul 2017, 14:34
mynamegoeson wrote:
On solving 3y-4x =24 at y=0 and x=0 u get 8 and -6 . Area will be 1/2 of 48
24
C


Sent from my iPhone using GMAT Club Forum


Hey buddy can you please explain why you used y=0 and x=0? I mean the calculations are clear, but not the logic that's standing behind
Intern
Intern
avatar
B
Joined: 22 Jan 2017
Posts: 34
GMAT ToolKit User
Re: In the XY-plane, what is the area of the triangle formed by the line 3  [#permalink]

Show Tags

New post 14 Jul 2017, 19:16
1
You use the x-intercept and y intercept as reference points. In simpler questions like this it's all you need to see what the triangle looks like, but in other questions you may have to use both the intercept and actually draw the line to another point.
Director
Director
User avatar
P
Joined: 18 Aug 2016
Posts: 631
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
GMAT ToolKit User Premium Member Reviews Badge
Re: In the XY-plane, what is the area of the triangle formed by the line 3  [#permalink]

Show Tags

New post 14 Jul 2017, 20:10
1
cbh wrote:
mynamegoeson wrote:
On solving 3y-4x =24 at y=0 and x=0 u get 8 and -6 . Area will be 1/2 of 48
24
C


Sent from my iPhone using GMAT Club Forum


Hey buddy can you please explain why you used y=0 and x=0? I mean the calculations are clear, but not the logic that's standing behind


Y intercept means the line cuts y axis where x=0

X intercept means the line cuts x axis where y=0


Sent from my iPhone using GMAT Club Forum mobile app
_________________

We must try to achieve the best within us


Thanks
Luckisnoexcuse

Director
Director
User avatar
P
Joined: 09 Mar 2016
Posts: 764
Re: In the XY-plane, what is the area of the triangle formed by the line 3  [#permalink]

Show Tags

New post 22 Jul 2018, 02:47
sonikavadhera wrote:
3y -4x =24 implies the line passes through (6,0) and (0,8)
hence area of triangle formed by this line and the two axes is area of a triangle with 6 as base and 8 as height

or 1/2*8*6 = 24
Option C

+1 kudos if you like the post.


niks18 pushpitkc hi there :) below is my solution but i dont get why i am getting negative value

set x = 0
3y =24
y = 8

set y = 0
-4x=24
x = -\(\frac{24}{4}\) = \(-6\)

Why everyone is getting positive 6 and i am getting negative -6 ?

Area -6*8 *0.5 = -24 :?

have a great weekend :-)
_________________

In English I speak with a dictionary, and with people I am shy.

BSchool Forum Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3043
Location: India
GPA: 3.12
Premium Member CAT Tests
Re: In the XY-plane, what is the area of the triangle formed by the line 3  [#permalink]

Show Tags

New post 22 Jul 2018, 02:56
dave13 wrote:
sonikavadhera wrote:
3y -4x =24 implies the line passes through (6,0) and (0,8)
hence area of triangle formed by this line and the two axes is area of a triangle with 6 as base and 8 as height

or 1/2*8*6 = 24
Option C

+1 kudos if you like the post.


niks18 pushpitkc hi there :) below is my solution but i dont get why i am getting negative value

set x = 0
3y =24
y = 8

set y = 0
-4x=24
x = -\(\frac{24}{4}\) = \(-6\)

Why everyone is getting positive 6 and i am getting negative -6 ?

Area -6*8 *0.5 = -24 :?

have a great weekend :-)


Hi dave13

When you plot the following points, you will find out that the sides of the
triangle are 8 and 6 respectively. Another thing to add is that the side or
the area can never be a negative number.

So, the area of this triangle is \(\frac{1}{2}*8*6 = 24\)

Hope this helps you!
_________________

You've got what it takes, but it will take everything you've got

Re: In the XY-plane, what is the area of the triangle formed by the line 3 &nbs [#permalink] 22 Jul 2018, 02:56
Display posts from previous: Sort by

In the XY-plane, what is the area of the triangle formed by the line 3

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

Events & Promotions

PREV
NEXT


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®.