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Which of the following points is closest to line y=x?

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VP
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Re: Which of the following points is closest to line y=x?  [#permalink]

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New post 21 Oct 2018, 03:56
bhavinshah5685 wrote:
I solved like this :

y=x line is given
=> x-y = 0

now for all the option choice do X-Y operation
1. 2-(-1)=3
2. 2 -4 =-2
3. -1-1=-2
4. 2-1 = 1
5. -2-0 = -2

Clearly option 4 is nearest to 0 which is our equation x=y...

Am I right on this approach?



hi pushpitkc why x-y and not y-x ? whats the reason ? any idea?
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Joined: 18 Jan 2018
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Concentration: Finance, Marketing
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Re: Which of the following points is closest to line y=x?  [#permalink]

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New post 27 Jan 2019, 18:16
I did this question by identifying integral points on the line that would be nearest to the points given in options.

For ex. (2,-1) would be nearest to integral points (2,2) or (-1,-1) on the line x=y.

This distance seems to be more (because 1 coordinate is 3 units away from the point on the line) than distance of the point (2,1) from nearest integral points on the line such as (2,2) or (1,1).

Similarly, I eliminated the remaining choices.

You may verify by applying the distance formula.

Please give a kudos if this helps.
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Re: Which of the following points is closest to line y=x?   [#permalink] 27 Jan 2019, 18:16

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Which of the following points is closest to line y=x?

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