Last visit was: 10 Jun 2026, 03:35 It is currently 10 Jun 2026, 03:35
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
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 10 Jun 2026
Posts: 111,172
Own Kudos:
819,864
 [4]
Given Kudos: 106,738
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 111,172
Kudos: 819,864
 [4]
Kudos
Add Kudos
4
Bookmarks
Bookmark this Post
User avatar
GMATinsight
User avatar
Major Poster
Joined: 08 Jul 2010
Last visit: 09 Jun 2026
Posts: 7,074
Own Kudos:
17,092
 [2]
Given Kudos: 128
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
Posts: 7,074
Kudos: 17,092
 [2]
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
dave13
Joined: 09 Mar 2016
Last visit: 10 Jun 2026
Posts: 1,082
Own Kudos:
Given Kudos: 3,851
Posts: 1,082
Kudos: 1,146
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
GMATinsight
User avatar
Major Poster
Joined: 08 Jul 2010
Last visit: 09 Jun 2026
Posts: 7,074
Own Kudos:
17,092
 [1]
Given Kudos: 128
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
Posts: 7,074
Kudos: 17,092
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
dave13
GMATinsight
Bunuel
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
Moderator:
Math Expert
111172 posts