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

It is currently 22 Oct 2019, 06:55

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

Consider the three points in the x-y plane: P = (8, 4), Q = (6, 7), an

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58430
Consider the three points in the x-y plane: P = (8, 4), Q = (6, 7), an  [#permalink]

Show Tags

New post 23 Oct 2018, 04:04
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

59% (01:27) correct 41% (01:26) wrong based on 102 sessions

HideShow timer Statistics

CEO
CEO
User avatar
D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2978
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Reviews Badge
Consider the three points in the x-y plane: P = (8, 4), Q = (6, 7), an  [#permalink]

Show Tags

New post 23 Oct 2018, 04:40
2
Bunuel wrote:
Consider the three points in the x-y plane: P = (8, 4), Q = (6, 7), and R = (9, 0). Rank these three points from closest to the origin, (0, 0), to furthest from the origin.

A. P, Q, R
B. P, R, Q
C. Q, P, R
D. R, P, Q
E. R, Q, P


Distance between any two points \((x_1, y_1)\)and \((x_2, y_2)\) \(= √[(x_2-x_1)^2 + (y_2-y_1)^2]\)

Distance of P from Origin, OP \(= √(8^2+4^2 = √80\)

Distance of Q from Origin, OP \(= √(6^2+7^2 = √85\)

Distance of R from Origin, OP \(= √(9^2+0^2 = √81\)

Answer: Option B
_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
VP
VP
User avatar
D
Joined: 09 Mar 2016
Posts: 1230
Consider the three points in the x-y plane: P = (8, 4), Q = (6, 7), an  [#permalink]

Show Tags

New post 23 Oct 2018, 06:44
GMATinsight wrote:
Bunuel wrote:
Consider the three points in the x-y plane: P = (8, 4), Q = (6, 7), and R = (9, 0). Rank these three points from closest to the origin, (0, 0), to furthest from the origin.

A. P, Q, R
B. P, R, Q
C. Q, P, R
D. R, P, Q
E. R, Q, P


Distance between any two points \((x_1, y_1)\)and \((x_2, y_2)\) \(= √[(x_2-x_1)^2 + (y_2-y_1)^2]\)

Distance of P from Origin, OP \(= √(8^2+4^2 = √80\)

Distance of Q from Origin, OP \(= √(6^2+7^2 = √85\)

Distance of R from Origin, OP \(= √(9^2+0^2 = √81\)

Answer: Option B



GMATinsight but this formula \(√[(x_2-x_1)^2 + (y_2-y_1)^2]\) includes \(x_1\) and \(x_2\) and \(y_1\) and \(y_2\), whereas we have only P = (8, 4) i.e. \(x_1\)and \(y_1\) can you please explain this phenomen ? :)
CEO
CEO
User avatar
D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2978
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Reviews Badge
Re: Consider the three points in the x-y plane: P = (8, 4), Q = (6, 7), an  [#permalink]

Show Tags

New post 23 Oct 2018, 06:48
1
dave13 wrote:
GMATinsight wrote:
Bunuel wrote:
Consider the three points in the x-y plane: P = (8, 4), Q = (6, 7), and R = (9, 0). Rank these three points from closest to the origin, (0, 0), to furthest from the origin.

A. P, Q, R
B. P, R, Q
C. Q, P, R
D. R, P, Q
E. R, Q, P


Distance between any two points \((x_1, y_1)\)and \((x_2, y_2)\) \(= √[(x_2-x_1)^2 + (y_2-y_1)^2]\)

Distance of P from Origin, OP \(= √(8^2+4^2 = √80\)

Distance of Q from Origin, OP \(= √(6^2+7^2 = √85\)

Distance of R from Origin, OP \(= √(9^2+0^2 = √81\)

Answer: Option B



GMATinsight but this formula \(√[(x_2-x_1)^2 + (y_2-y_1)^2]\) includes \(x_1\) and \(x_2\) and \(y_1\) and \(y_2\), whereas we have only P = (8, 4) i.e. \(x_1\)and \(y_1\) can you please explain this phenomen ? :)



dave13

When we calculate length of OP then
\((x_1, y_1)\) = \((8, 5)\) and
\((x_2, y_2)\) = \((0, 0)\)

i.e. OP = \(= √[(8-0)^2+(4-0)^2] = √(8^2+4^2) =√80\)

I hope this helps
_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
GMAT Club Bot
Re: Consider the three points in the x-y plane: P = (8, 4), Q = (6, 7), an   [#permalink] 23 Oct 2018, 06:48
Display posts from previous: Sort by

Consider the three points in the x-y plane: P = (8, 4), Q = (6, 7), an

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





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