In the xy-coordinate plane, is point R equidistant from

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In the xy-coordinate plane, is point R equidistant from [#permalink]

04 Jul 2012, 19:19

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In the xy-coordinate plane, is point R equidistant from points (-3,-3) and (1,-3)

(1) The x coordinate of point R is -1
(2) Point R lies on line y = -3.

[Reveal] Spoiler: OA

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Re: In the xy-coordinate plane, Is point R [#permalink]

04 Jul 2012, 20:50

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imhimanshu wrote:

In the xy-coordinate plane, Is point R equidistant from points (-3,-3) and (1,-3)

1. The x coordinate of point R is -1
2. Point R lies on line y = -3.

Expert, please provide your reasoning.

Thanks

Hi,

As per below diagram,

Attachment:

xy.jpg [ 11.04 KiB | Viewed 1442 times ]

All the points which lie on x=-1, will be equidistant from the given points,

Using (1),
x coordinate is -1. Sufficient.

Using (2),
point lies on y=-3, the point may lie anywhere on the line joining the two points, and might/might not be equidistant from two given points.
Insufficient.

Answer is (A),

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Re: In the xy-coordinate plane, Is point R [#permalink]

04 Jul 2012, 21:37

imhimanshu wrote:

In the xy-coordinate plane, Is point R equidistant from points (-3,-3) and (1,-3)

1. The x coordinate of point R is -1
2. Point R lies on line y = -3.

Expert, please provide your reasoning.

Thanks

The Answer should be A

1. The x coordinate of point R is -1. Which means that, the point R is (-1, y). Whatever may be the value of 'y', the two points (-3,-3) and (1,-3) will be equidistant to the point (-1,y).

The line x = -1, bisects the line joining, (-3,-3) and (1,-3), hence any point(-1,y) on this line should be of equidistant from the two points

Hence Sufficient.

2. If Point R lies on line y = -3, i.e (x,-3) it means, point R could be anywhere on the line(within the points, outside the points etc) and either way no further evidence is known to identify the value of x in (x,-3).

To be more clear,

if x=-1,Equidistant, --> Yes
if x=0, Not Equidistant, -->No

Hence Not Sufficient.

Hope this helps

Re: In the xy-coordinate plane, Is point R [#permalink] 04 Jul 2012, 21:37

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In the xy-coordinate plane, is point R equidistant from

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In the xy-coordinate plane, is point R equidistant from

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