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Re: A rectangle is plotted on the standard coordinate plane [#permalink]

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02 Jan 2014, 09:12

I think it should be c as 'non-negative integers' means it can be either negative non integer or positive integers. Please correct me if I'm wrong. Thanks!

I think it should be c as 'non-negative integers' means it can be either negative non integer or positive integers. Please correct me if I'm wrong. Thanks!

Non-negative integers mean integers more than or equal to zero: 0, 1, 2, ...

Re: A rectangle is plotted on the standard coordinate plane [#permalink]

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01 Aug 2014, 16:15

B is sufficient. The distance from (0,0) to other vertices is 8. So can be point (0,8) or the distance can be the the diagonal length of 8. Then the other length of the rectangle will be \sqrt{( 8^2 -6^2)} = 2\sqrt{7}. And 2\sqrt{7} is not an integer, there is left with one choice. (0,8)
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Re: A rectangle is plotted on the standard coordinate plane [#permalink]

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20 Dec 2014, 16:46

I think in either statement you have a distance that can be the x coordinate you need or the diagonal. With 10 you can have (10, 0) or a diagonal 10 in which case with the Pythagorean theorem the coordinates would be (8,0). This is possible so you don't now the solution. If the distance is 8 you can have (8,0) or a diagonal that gives coordinates (square root of 28, 0) which is not an integer. So in this case the only possibility is for (8,0). Therefore Stat 2 is suf.

Re: A rectangle is plotted on the standard coordinate plane [#permalink]

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17 May 2015, 08:56

1

This post was BOOKMARKED

guygmat wrote:

A rectangle is plotted on the standard coordinate plane, with vertices at the origin and (0,6). If the coordinates of all vertices of the rectangle are non-negative integers, what are the coordinates of the other two vertices?

(1) The distance between the origin and one of the other vertices is 10 units.

(2) The distance between the origin and one of the other vertices is 8 units.

The question states that it is a rectangle, so if u look at statement 2. 8 units has to be the length along the x plain because for it to be a square a min length of 6*1.4 =8.4 is needed. If the length is lower that 8.4, then rectangle would have lower part move into the 4th quadrant, hence 8 has to be along the x axis and not the diagonal length.

and statement 1 is not sufficient as its is more than 8.4 and hence the rectangle can be formed if it is a the diagonal or the horizontal length.

Re: A rectangle is plotted on the standard coordinate plane [#permalink]

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02 Mar 2017, 21:35

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