NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 19:15 It is currently 24 Apr 2024, 19:15
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

Find the square of the length of the shortest path that can be drawn

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
nick1816
Retired Moderator
Joined: 19 Oct 2018
Posts: 1878
Own Kudos [?]: 6296 [8]
Given Kudos: 704
Location: India
Send PM
Find the square of the length of the shortest path that can be drawn [#permalink] New post   18 May 2019, 02:24
8
Bookmarks
00:00
A
B
C
D
E

Difficulty:

95% (hard)

Question Stats:

18% (03:32) correct 82% (03:05) wrong based on 34 sessions
Hide Show timer Statistics
Find the square of the length of the shortest path that can be drawn from the point (6,3) to the point (2,8) such that the path touches the x-axis and the y-axis once.

A. 41
B. 100
C. 149
D. 185
E. 196
ShowHide Answer
Official Answer
D

Attachments

kyyFsdXefQ-79181.png
kyyFsdXefQ-79181.png [ 42.21 KiB | Viewed 2096 times ]

User avatar
L
nick1816
Retired Moderator
Joined: 19 Oct 2018
Posts: 1878
Own Kudos [?]: 6296 [2]
Given Kudos: 704
Location: India
Send PM
Re: Find the square of the length of the shortest path that can be drawn [#permalink] New post   20 May 2019, 06:51
1
Kudos
1
Bookmarks
The shortest path between 2 points in 2-Dimension is always a straight line. The reflected part is equal to the distance between (6,3) and (-2,-8)
Square of distance= (6-(-2))^2+(3-(-8))^2= 8^2+11^2=185
ManjariMishra wrote:
Can anybody please explain the solution

Posted from my mobile device

Attachments

Untitled.png
Untitled.png [ 9.65 KiB | Viewed 1945 times ]

avatar
B
ManjariMishra
Manager
Manager
Joined: 10 May 2018
Posts: 60
Own Kudos [?]: 35 [0]
Given Kudos: 99
Send PM
Re: Find the square of the length of the shortest path that can be drawn [#permalink] New post   20 May 2019, 06:40
Can anybody please explain the solution

Posted from my mobile device
avatar
B
fogarasm
Intern
Intern
Joined: 25 Jan 2018
Posts: 10
Own Kudos [?]: 9 [0]
Given Kudos: 7
Location: United States
Schools: Ross '22 (A) Yale '22 (A) Haas '22 (A)
GMAT 1: 700 Q48 V38
GMAT 2: 750 Q49 V44
GPA: 3.56
Send PM
Re: Find the square of the length of the shortest path that can be drawn [#permalink] New post   25 May 2019, 06:25
nick1816 wrote:
The shortest path between 2 points in 2-Dimension is always a straight line. The reflected part is equal to the distance between (6,3) and (-2,-8)
Square of distance= (6-(-2))^2+(3-(-8))^2= 8^2+11^2=185
ManjariMishra wrote:
Can anybody please explain the solution

Posted from my mobile device


nick1816 - I don't fully understand. How do we know the distance between (6,3) and (-2,-8) is the same as the reflected portion? Thanks in advance.
User avatar
L
nick1816
Retired Moderator
Joined: 19 Oct 2018
Posts: 1878
Own Kudos [?]: 6296 [0]
Given Kudos: 704
Location: India
Send PM
Find the square of the length of the shortest path that can be drawn [#permalink] New post   Updated on: 26 May 2019, 13:16
The shortest path between 2 points in 2-Dimension is always a straight line
1. The shortest vertical distance between point A and B,if the path have to touch x axis, is equal to |0-3|+|8-0|=11
2. The shortest horizontal distance between point A and B,if the path have to touch y axis, is equal to |0-6|+|2-0|=8

Square of shortest distance= 11^2 + 8^2= 185


fogarasm wrote:
nick1816 wrote:
The shortest path between 2 points in 2-Dimension is always a straight line. The reflected part is equal to the distance between (6,3) and (-2,-8)
Square of distance= (6-(-2))^2+(3-(-8))^2= 8^2+11^2=185
ManjariMishra wrote:
Can anybody please explain the solution

Posted from my mobile device


nick1816 - I don't fully understand. How do we know the distance between (6,3) and (-2,-8) is the same as the reflected portion? Thanks in advance.

Originally posted by nick1816 on 25 May 2019, 08:39.
Last edited by nick1816 on 26 May 2019, 13:16, edited 1 time in total.
avatar
B
aayush.works
Intern
Intern
Joined: 25 Sep 2017
Posts: 15
Own Kudos [?]: 15 [0]
Given Kudos: 30
Send PM
Re: Find the square of the length of the shortest path that can be drawn [#permalink] New post   25 May 2019, 09:24
Bunuel could you please help in this question ?
GMAT Club Bot
gmatclubot
Re: Find the square of the length of the shortest path that can be drawn [#permalink]
25 May 2019, 09:24
Moderators:
Bunuel
Math Expert
92900 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions