It is currently 13 Dec 2018, 22:37
My Tests

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.

In the coordinate plane, points (a,b) and (c,d) are

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
2 KUDOS received
Intern
Intern
Joined: 05 Jan 2016
Posts: 29
Followers: 0

Kudos [?]: 16 [2] , given: 14

In the coordinate plane, points (a,b) and (c,d) are [#permalink] New post 09 Aug 2016, 16:11
2
This post received
KUDOS
00:00

Question Stats:

52% (01:13) correct 48% (02:39) wrong based on 25 sessions
Manhattan Prep: 5LB Book

In the coordinate plane, points (a,b) and (c,d) are equidistant from the origin. |a| > |c|


Quantity A
|B|



Quantity B
|D|
[Reveal] Spoiler: OA

Last edited by Carcass on 09 Mar 2018, 15:38, edited 1 time in total.
Edited the OA
2 KUDOS received
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1659 [2] , given: 396

CAT Tests
Re: In the coordinate plane, points (a,b) and (c,d) are [#permalink] New post 09 Aug 2016, 17:12
2
This post received
KUDOS
Expert's post
GREhelp wrote:
Manhattan Prep: 5LB Book

In the coordinate plane, points (a,b) and (c,d) are equidistant from the origin. |a| > |c|


Quantity A
|B|



Quantity B
|D|



Here we have 2 points namely X (a,b) and Y (c,d). Now the points are equidistant from origin.

\(a^2 + b^2 = c^2 + d^2\) ........ 1


Given that

\(|a| > |c|\) or

\(a^2 > c^2\)

adding\(b^2\) on both sides

\(a^2 + b^2 > c^2 + b^2\)

from eqn 1

\(c^2 + d^2 > c^2 + b^2\)

or \(d^2 > b^2\) or \(|d| > |b|\)


Hence option B is correct.
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Moderator
Moderator
User avatar
Joined: 18 Apr 2015
Posts: 5166
Followers: 77

Kudos [?]: 1033 [0], given: 4655

CAT Tests
Re: In the coordinate plane, points (a,b) and (c,d) are [#permalink] New post 10 Aug 2016, 00:37
Expert's post
Please follow the rules for posting in verbal section. Use the tags, in particular.

Regards
_________________

Get the 2 FREE GREPrepclub Tests

Intern
Intern
Joined: 05 Jan 2016
Posts: 29
Followers: 0

Kudos [?]: 16 [0], given: 14

Re: In the coordinate plane, points (a,b) and (c,d) are [#permalink] New post 10 Aug 2016, 11:08
Hi Sandy,
Thanks for your response, That was a huge help. I understand how you solved the question and steps taken. However, how did you know when you first looked at the question to do a^2 + b^2 = c^2 + d^2 ????

I understand how you got a^2 > c^2 its because the |a| > |c| which means that A and C can not be negative as a result you did a^2 >c^2. I'm just trying to make sure I understand the underlying concept so I don't make the same mistake again.
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1659 [0], given: 396

CAT Tests
Re: In the coordinate plane, points (a,b) and (c,d) are [#permalink] New post 10 Aug 2016, 13:02
Expert's post
GREhelp wrote:
Hi Sandy,
Thanks for your response, That was a huge help. I understand how you solved the question and steps taken. However, how did you know when you first looked at the question to do a^2 + b^2 = c^2 + d^2 ????

I understand how you got a^2 > c^2 its because the |a| > |c| which means that A and C can not be negative as a result you did a^2 >c^2. I'm just trying to make sure I understand the underlying concept so I don't make the same mistake again.


Hi Grehelp,

Well actually I solved the problem mentally. I knew that |a| > |c| so |b| < |d| for the two points to be equidistant from origin. This usually comes with a bit of experience and understanding of math over time.

However there is a Hack. Whenever faced with a problem like this one, try and write down all the equations from a problem statement and try to put one equation into another and check if you find some new info. This usually works.

In this case we had only 2 equations. I just tried to combine them to form a new one.

With some practice you can solve these problems easily as well.

Regards,
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

1 KUDOS received
Intern
Intern
Joined: 11 Jan 2018
Posts: 44
Followers: 0

Kudos [?]: 26 [1] , given: 7

Re: In the coordinate plane, points (a,b) and (c,d) are [#permalink] New post 28 Feb 2018, 14:34
1
This post received
KUDOS
It's answer should be choice B.
Kindly correct the OA.

Here's how:

Using distance equation:

Distance of point (a,b) from origin(0,0) = (a - 0)^2 + (b - 0)^2
= a^2 + b^2

Similarly,
Distance of point (c,d) from origin(0,0) = (c - 0)^2 + (d - 0)^2
= c^2 + d^2

As, both distances are equal, so

a^2 + b^2 = c^2 + d^2

Now, according to the given condition, absolute value of a is greater than that of d. Thus, in order for making the Left Hand Side (L.H.S) equals to Right Hand Side (R.H.S) of the equation: a^2 + b^2 = c^2 + d^2, we must come to the point that the absolute value of b must always be less that that of d.

So, Quantity b is greater always.

Thus choice B is correct.
_________________

Persistence >>>>>>> Success

Don't say thanks, just give KUDOS.
1 kudos = 1000 Thanks

Intern
Intern
Joined: 04 Mar 2018
Posts: 24
Followers: 0

Kudos [?]: 12 [0], given: 5

Re: In the coordinate plane, points (a,b) and (c,d) are [#permalink] New post 09 Mar 2018, 02:39
The answer given to this question is definitely wrong, it should be B, as explained by sandy earlier.
Manager
Manager
Joined: 15 Feb 2018
Posts: 53
Followers: 1

Kudos [?]: 17 [0], given: 33

Re: In the coordinate plane, points (a,b) and (c,d) are [#permalink] New post 09 Mar 2018, 04:04
Please change the OA to B instead of A.
Moderator
Moderator
User avatar
Joined: 18 Apr 2015
Posts: 5166
Followers: 77

Kudos [?]: 1033 [0], given: 4655

CAT Tests
Re: In the coordinate plane, points (a,b) and (c,d) are [#permalink] New post 09 Mar 2018, 15:38
Expert's post
Done.

Thank you.
_________________

Get the 2 FREE GREPrepclub Tests

Re: In the coordinate plane, points (a,b) and (c,d) are   [#permalink] 09 Mar 2018, 15:38
Display posts from previous: Sort by

In the coordinate plane, points (a,b) and (c,d) are

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.