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

It is currently 18 Jun 2019, 00:06

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 above, the line segment PQ is bisected at right angles

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

Hide Tags

 
VP
VP
User avatar
D
Status: Learning stage
Joined: 01 Oct 2017
Posts: 1009
WE: Supply Chain Management (Energy and Utilities)
Premium Member
In the xy-plane above, the line segment PQ is bisected at right angles  [#permalink]

Show Tags

New post 11 Aug 2018, 05:11
7
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

57% (02:16) correct 43% (02:49) wrong based on 92 sessions

HideShow timer Statistics

In the xy-plane above, the line segment PQ is bisected at right angles by the line y = -x. The line segment QR (not shown) is bisected at right angles by the y - axis. What are the co-ordinates of point R?

A. (5,4)
B. (-4,-5)
C. (4,-5)
D. (-5,-4)
E. (4,5)

Source:- Time4education

Attachments

xy-plane.jpg
xy-plane.jpg [ 3.62 KiB | Viewed 1189 times ]

Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7752
Re: In the xy-plane above, the line segment PQ is bisected at right angles  [#permalink]

Show Tags

New post 11 Aug 2018, 08:12
3
PKN wrote:
In the xy-plane above, the line segment PQ is bisected at right angles by the line y = -x. The line segment QR (not shown) is bisected at right angles by the y - axis. What are the co-ordinates of point R?

A. (5,4)
B. (-4,-5)
C. (4,-5)
D. (-5,-4)
E. (4,5)

Source:- Time4education



Since PQ is bisected, Q is (-4,5) as P is (-5,4)
Now QR is bisected by X axis, so the line is x=4 and y =5
(4,5)
E
_________________
Manager
Manager
avatar
B
Joined: 28 Jun 2018
Posts: 74
Re: In the xy-plane above, the line segment PQ is bisected at right angles  [#permalink]

Show Tags

New post 13 Sep 2018, 07:31
1
chetan2u could you explain this a little more?
Manager
Manager
avatar
B
Joined: 27 Oct 2017
Posts: 64
Re: In the xy-plane above, the line segment PQ is bisected at right angles  [#permalink]

Show Tags

New post 13 Dec 2018, 11:45
Can you please explain this in detail?
Intern
Intern
avatar
B
Joined: 20 Nov 2018
Posts: 21
Location: India
In the xy-plane above, the line segment PQ is bisected at right angles  [#permalink]

Show Tags

New post 13 Dec 2018, 12:56
2
1
PKN wrote:
In the xy-plane above, the line segment PQ is bisected at right angles by the line y = -x. The line segment QR (not shown) is bisected at right angles by the y - axis. What are the co-ordinates of point R?

A. (5,4)
B. (-4,-5)
C. (4,-5)
D. (-5,-4)
E. (4,5)

Source:- Time4education


This is based on the mirroring concept

1.A(a,b) when perpendicularly bisected by y=-x the mirror image of that point is B(-b,-a)

2.Mirror image of A(a,b) through y axis is B(-a,b)

3.Mirror image of A(a,b) through x axis is B(a,-b)

4.A(a,b) when perpendicularly bisected by y=x the mirror image of that point is B(b,a)

Points A and B are such that their midpoint lies on the line bisecting the AB line segment.

You can observe this in an xy plane by trying it out on a point.

Hence,

P(-5,4) --> mirror image through y=-x --> Q(-4,5)--> mirror image through y axis --> R(4,5)

_____________
Please leave a kudos if this is helpful. Thanks!

Posted from my mobile device
GMAT Club Bot
In the xy-plane above, the line segment PQ is bisected at right angles   [#permalink] 13 Dec 2018, 12:56
Display posts from previous: Sort by

In the xy-plane above, the line segment PQ is bisected at right angles

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


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