GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

It is currently 19 Feb 2020, 07:44

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

Three sides of a triangle are the x-axis, the y-axis and the line pass

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

Hide Tags

Find Similar Topics 
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 8572
GMAT 1: 760 Q51 V42
GPA: 3.82
Three sides of a triangle are the x-axis, the y-axis and the line pass  [#permalink]

Show Tags

New post 02 Jan 2020, 23:42
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

63% (02:54) correct 37% (03:34) wrong based on 27 sessions

HideShow timer Statistics

[GMAT math practice question]

Three sides of a triangle are the x-axis, the y-axis and the line passing through the three points \((0, 2), (a, 0), (b, 4)\). The area of this triangle is \(6\). If \(a\) is negative, what is \(a-b\)?

A. \(12\)

B. \(10\)

C. \(8\)

D. \(-10\)

E. \(-12\)

_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $79 for 1 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"
VP
VP
avatar
V
Joined: 20 Jul 2017
Posts: 1321
Location: India
Concentration: Entrepreneurship, Marketing
WE: Education (Education)
Three sides of a triangle are the x-axis, the y-axis and the line pass  [#permalink]

Show Tags

New post Updated on: 04 Jan 2020, 23:46
2
MathRevolution wrote:
[GMAT math practice question]

Three sides of a triangle are the x-axis, the y-axis and the line passing through the three points \((0, 2), (a, 0), (b, 4)\). The area of this triangle is \(6\). If \(a\) is negative, what is \(a-b\)?

A. \(12\)

B. \(10\)

C. \(8\)

D. \(-10\)

E. \(-12\)


**Edited
Since, x and y axes are 2 sides of a triangle, the given triangle is right angled.

—> The 3 points lie in a line
—> Slopes between any 2 points are
Same
—> (0-2)/(a-0) = (4-2)/(b-0)
—> -2/a = 2/b
—> b = -a

Area of triangle = 6
—> 1/2*a*2 = 6
—> a = 6
Since “a” is negative. a = -6
—> b = -a = 6

So, a - b = -6 - 6 = -12

IMO E

Posted from my mobile device

Originally posted by Dillesh4096 on 04 Jan 2020, 20:15.
Last edited by Dillesh4096 on 04 Jan 2020, 23:46, edited 1 time in total.
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 8572
GMAT 1: 760 Q51 V42
GPA: 3.82
Re: Three sides of a triangle are the x-axis, the y-axis and the line pass  [#permalink]

Show Tags

New post 04 Jan 2020, 23:41
=>

Since the line passes through the points \((0, 2), (a, 0)\) and \((b, 4)\), we have \(\frac{(0 - 2) }{ (a - 0)} = \frac{(4 - 2) }{ (b - 0)}, \frac{-2}{a} = \frac{2}{b}, 2a = -2b,\) or \(a = -b.\)

The area of the triangle is \((\frac{1}{2})(-a)*2 = 6\), or \(-a = 6\). Then we have \(a = -6\) and \(b = 6.\)

Thus we have \(a – b = -6 – 6 = -12.\)

Therefore, E is the answer.
Answer: E
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $79 for 1 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"
Manager
Manager
User avatar
B
Joined: 21 Feb 2017
Posts: 140
Re: Three sides of a triangle are the x-axis, the y-axis and the line pass  [#permalink]

Show Tags

New post 27 Jan 2020, 06:43
Dillesh4096 wrote:
MathRevolution wrote:
[GMAT math practice question]

Three sides of a triangle are the x-axis, the y-axis and the line passing through the three points \((0, 2), (a, 0), (b, 4)\). The area of this triangle is \(6\). If \(a\) is negative, what is \(a-b\)?

A. \(12\)

B. \(10\)

C. \(8\)

D. \(-10\)

E. \(-12\)


**Edited
Since, x and y axes are 2 sides of a triangle, the given triangle is right angled.

—> The 3 points lie in a line
—> Slopes between any 2 points are
Same
—> (0-2)/(a-0) = (4-2)/(b-0)
—> -2/a = 2/b
—> b = -a

Area of triangle = 6
—> 1/2*a*2 = 6
—> a = 6
Since “a” is negative. a = -6
—> b = -a = 6

So, a - b = -6 - 6 = -12

IMO E

Posted from my mobile device


Hi what property is this? "Since x and y axes are 2 sides of a triangle, the given triangle is right-angled."
VP
VP
avatar
V
Joined: 20 Jul 2017
Posts: 1321
Location: India
Concentration: Entrepreneurship, Marketing
WE: Education (Education)
Re: Three sides of a triangle are the x-axis, the y-axis and the line pass  [#permalink]

Show Tags

New post 27 Jan 2020, 07:57
1
Kritisood wrote:
Hi what property is this? "Since x and y axes are 2 sides of a triangle, the given triangle is right-angled."


Hi Kritisood,

Please see the attached image
Image

As we can clearly see, the angle between x & y axis is 90 degrees.
So, the triangle OAC is right angled

Hope it's clear!
Attachments

1.png
1.png [ 6.96 KiB | Viewed 192 times ]

GMAT Club Bot
Re: Three sides of a triangle are the x-axis, the y-axis and the line pass   [#permalink] 27 Jan 2020, 07:57
Display posts from previous: Sort by

Three sides of a triangle are the x-axis, the y-axis and the line pass

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





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