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willacethis
Joined: 18 Jan 2018
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Concentration: Finance, Marketing
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27 Jan 2019, 18:16
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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.
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.
23 Aug 2025, 15:36
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I was thinking about using the Pythagorean theorem to solve this, but from this intention I found a quicker way as I did this.
Just pick one of the x or y coordinates of each answer, and find the distance required for that coordinate to reach the x=y line
A. I'll pick y. 2 = 2, so from -1 to 2 is 3 in distance on y-axis.
B. Pick x. 4 - 2 = 2 (Remove A)
C. Pick x. 1 - (-1) = 2 (Remove B and C since they're the same and provides no comparison)
D. Pick y. 2 - 1 = 1
E. Pick x. 0 - (-2) = 2 (Remove E since D is smaller)
=> Answer is D
Just pick one of the x or y coordinates of each answer, and find the distance required for that coordinate to reach the x=y line
A. I'll pick y. 2 = 2, so from -1 to 2 is 3 in distance on y-axis.
B. Pick x. 4 - 2 = 2 (Remove A)
C. Pick x. 1 - (-1) = 2 (Remove B and C since they're the same and provides no comparison)
D. Pick y. 2 - 1 = 1
E. Pick x. 0 - (-2) = 2 (Remove E since D is smaller)
=> Answer is D
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