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

 It is currently 22 Nov 2019, 13:21 ### 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

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.  # If point A coordinates are (-7, -3) point B coordinates are

Author Message
TAGS:

### Hide Tags

Manager  Joined: 22 Dec 2011
Posts: 211
If point A coordinates are (-7, -3) point B coordinates are  [#permalink]

### Show Tags

1
23 00:00

Difficulty:   55% (hard)

Question Stats: 71% (02:29) correct 29% (02:43) wrong based on 347 sessions

### HideShow timer Statistics

If point A coordinates are (-7, -3) point B coordinates are (8 ,4 ) if C is along the line A-B so that AC = 1/2 CB. What are the coordinates of point C.

A. (-2, - 2/3)
B. (2, -2/3)
C. (2/3, -2)
D. (0, 2)
E. (2, 2/3)
Math Expert V
Joined: 02 Sep 2009
Posts: 59268
If point A coordinates are (-7, -3) point B coordinates are  [#permalink]

### Show Tags

2
7
Jp27 wrote:
If point A coordinates are ( -7 , -3 ) point B coordinates are (8 ,4 ) if C is along the line A-B so that AC = 1/2 CB. What are the coordinates of point C.

A. ( -2 , - 2/3 )
B. ( 2 , -2/3 )
C. ( 2/3 , -2 )
D. ( 0 , 2 )
E. ( 2 , 2/3 )

Look at the diagram below: Since, AC= 1/2 CB, then AC = 1/3 AB. This implies that point C is closer to A than to B, which on the other hand implies that the x-coordinate of C must be less than (-7+8)/2=0.5. Only D and A fits, but as (0 , 2) is clearly not on line segment AB, then the answer must be A.

Hope it's clear.

Attachment: Line segment.png [ 10.65 KiB | Viewed 8158 times ]

_________________
Manager  Joined: 08 Nov 2014
Posts: 75
Location: India
GPA: 3
WE: Engineering (Manufacturing)
If point A coordinates are (-7, -3) point B coordinates are  [#permalink]

### Show Tags

2
3
Simply need to put the data in the formula below

x= (mx1+nx2)/(m+n) =(-7*2+8*1)/(2+1) = -2
Y= (my1+ny2)/(m+n) =(-3*2+4*1)/(2+1) =-2/3 AC=m , CB =n

Jp27 wrote:
If point A coordinates are (x1=-7, y1=-3) point B coordinates are (x2=8 ,y2=4 ) if C is along the line A-B so that AC = 1/2 CB. What are the coordinates of point C.

A. (-2, - 2/3)
B. (2, -2/3)
C. (2/3, -2)
D. (0, 2)
E. (2, 2/3)

_________________
"Arise, Awake and Stop not till the goal is reached"
##### General Discussion
Intern  Status: wants to beat the gmat
Joined: 18 Jul 2012
Posts: 18
Location: United States
Re: If point A coordinates are (-7, -3) point B coordinates are  [#permalink]

### Show Tags

this question can be answered using intuition. point A (-7, -3) is closer to the origin than point B (8, 4). given that AC = 1/2 AB means distance of AC < distance of CB. therefore C has to be negative x and negative y. only choice A gives this answer
Manager  B
Joined: 28 Apr 2016
Posts: 84
Re: If point A coordinates are (-7, -3) point B coordinates are  [#permalink]

### Show Tags

But isn't this assuming the C lies between A and B. What if it divides the line AB externally. How can we know for sure whether C divides the line externally or internally?

veergmat wrote:
Simply need to put the data in the formula below

x= (mx1+nx2)/(m+n) =(-7*2+8*1)/(2+1) = -2
Y= (my1+ny2)/(m+n) =(-3*2+4*1)/(2+1) =-2/3 AC=m , CB =n

Jp27 wrote:
If point A coordinates are (x1=-7, y1=-3) point B coordinates are (x2=8 ,y2=4 ) if C is along the line A-B so that AC = 1/2 CB. What are the coordinates of point C.

A. (-2, - 2/3)
B. (2, -2/3)
C. (2/3, -2)
D. (0, 2)
E. (2, 2/3)
Math Expert V
Joined: 02 Aug 2009
Posts: 8202
Re: If point A coordinates are (-7, -3) point B coordinates are  [#permalink]

### Show Tags

ameyaprabhu wrote:
But isn't this assuming the C lies between A and B. What if it divides the line AB externally. How can we know for sure whether C divides the line externally or internally?

veergmat wrote:
Simply need to put the data in the formula below

x= (mx1+nx2)/(m+n) =(-7*2+8*1)/(2+1) = -2
Y= (my1+ny2)/(m+n) =(-3*2+4*1)/(2+1) =-2/3 AC=m , CB =n

Jp27 wrote:
If point A coordinates are (x1=-7, y1=-3) point B coordinates are (x2=8 ,y2=4 ) if C is along the line A-B so that AC = 1/2 CB. What are the coordinates of point C.

A. (-2, - 2/3)
B. (2, -2/3)
C. (2/3, -2)
D. (0, 2)
E. (2, 2/3)

hi,
the Q gives you this info-
" if C is along the line A-B so that AC = 1/2 CB"

_________________
Intern  Joined: 11 Apr 2015
Posts: 31
Location: Germany
Concentration: General Management, Entrepreneurship
GPA: 3.1
WE: Project Management (Energy and Utilities)
If point A coordinates are (-7, -3) point B coordinates are  [#permalink]

### Show Tags

1
coordinates of A (-7; -3)
coordninates of B (8; 4)

since, line AB consists of three equal segments:

-7 + 3m = 8 hence, m = 5
-3 + 3n = 4 hence, n = 7/3

x-coordinate of C = x-coordinate of A + m = -7 + 5 = -2

y-coordinate of C = y-coordinate of A + n = - 3 + 7/3 = - 2/3

_________________
"I fear not the man who has practiced 10,000 kicks once, but I fear the man who has practiced one kick 10,000 times." Bruce Lee

"I hated every minute of training, but I said, "Don’t quit. Suffer now and live the rest of your life as a champion."" Muhammad Ali
Intern  Joined: 05 May 2016
Posts: 35
If point A coordinates are (-7, -3) point B coordinates are  [#permalink]

### Show Tags

Bunuel wrote:
Jp27 wrote:
If point A coordinates are ( -7 , -3 ) point B coordinates are (8 ,4 ) if C is along the line A-B so that AC = 1/2 CB. What are the coordinates of point C.

A. ( -2 , - 2/3 )
B. ( 2 , -2/3 )
C. ( 2/3 , -2 )
D. ( 0 , 2 )
E. ( 2 , 2/3 )

Look at the diagram below:
Attachment:
Line segment.png
Since, AC= 1/2 CB, then AC = 1/3 AB. This implies that point C is closer to A than to B, which on the other hand implies that the x-coordinate of C must be less than (-7+8)/2=0.5. Only D and A fits, but as (0 , 2) is clearly not on line segment AB, then the answer must be A.

Hope it's clear.

Quote:
Bunuel sir,
How did you derive get the following calculation:
X-coordinate of C must be less than (-7+8)/2=0.5

As the distance between two points say A(x1, y1) and B (x2, y2)
= \sqrt{(x2-x1)^2 + (y2-y1)^2}

Thanks again!

Regards,
Yosita

PS: Please forgive me if the format of my post in incorrect.

Intern  Joined: 29 Dec 2014
Posts: 23
Concentration: Operations, Strategy
GMAT 1: 690 Q48 V35 GMAT 2: 710 Q48 V39 Re: If point A coordinates are (-7, -3) point B coordinates are  [#permalink]

### Show Tags

Also, I would like to add that...the answer choices inferentially tell us that point C divides AB internally coz otherwise the coordinates for C would either be farther away from A or B..

Posted from my mobile device
Manager  B
Joined: 21 Feb 2017
Posts: 52
Re: If point A coordinates are (-7, -3) point B coordinates are  [#permalink]

### Show Tags

veergmat wrote:
Simply need to put the data in the formula below

x= (mx1+nx2)/(m+n) =(-7*2+8*1)/(2+1) = -2
Y= (my1+ny2)/(m+n) =(-3*2+4*1)/(2+1) =-2/3 AC=m , CB =n

Jp27 wrote:
If point A coordinates are (x1=-7, y1=-3) point B coordinates are (x2=8 ,y2=4 ) if C is along the line A-B so that AC = 1/2 CB. What are the coordinates of point C.

A. (-2, - 2/3)
B. (2, -2/3)
C. (2/3, -2)
D. (0, 2)
E. (2, 2/3)

Hi, what formula is this? Re: If point A coordinates are (-7, -3) point B coordinates are   [#permalink] 22 Nov 2019, 02:26
Display posts from previous: Sort by

# If point A coordinates are (-7, -3) point B coordinates are  