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

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VP
Joined: 19 Oct 2018
Posts: 1150
Location: India
Find the square of the length of the shortest path that can be drawn  [#permalink]

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18 May 2019, 02:24
7
00:00

Difficulty:

95% (hard)

Question Stats:

12% (03:51) correct 88% (03:10) wrong based on 25 sessions

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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

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Manager
Joined: 10 May 2018
Posts: 57
Re: Find the square of the length of the shortest path that can be drawn  [#permalink]

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20 May 2019, 06:40
Can anybody please explain the solution

Posted from my mobile device
VP
Joined: 19 Oct 2018
Posts: 1150
Location: India
Re: Find the square of the length of the shortest path that can be drawn  [#permalink]

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20 May 2019, 06:51
1
1
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

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Intern
Joined: 25 Jan 2018
Posts: 12
Re: Find the square of the length of the shortest path that can be drawn  [#permalink]

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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.
VP
Joined: 19 Oct 2018
Posts: 1150
Location: India
Find the square of the length of the shortest path that can be drawn  [#permalink]

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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.
Intern
Joined: 25 Sep 2017
Posts: 18
Re: Find the square of the length of the shortest path that can be drawn  [#permalink]

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25 May 2019, 09:24
Re: Find the square of the length of the shortest path that can be drawn   [#permalink] 25 May 2019, 09:24
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