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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # Find the square of the length of the shortest path that can be drawn

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VP  D
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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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

Attachments kyyFsdXefQ-79181.png [ 42.21 KiB | Viewed 565 times ]

Manager  B
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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Can anybody please explain the solution

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

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