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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 [#permalink] New post 04 Jul 2012, 18:19
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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] New post 04 Jul 2012, 19:50
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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
xy.jpg [ 11.04 KiB | Viewed 2903 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),

Regards,
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Re: In the xy-coordinate plane, Is point R [#permalink] New post 04 Jul 2012, 20:37
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
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Re: In the xy-coordinate plane, is point R equidistant from [#permalink] New post 22 Jul 2014, 15:45
cyberjadugar wrote:
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

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),

Regards,


yes, it is better to draw a diagram to solve the problem.
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Re: In the xy-coordinate plane, is point R equidistant from   [#permalink] 22 Jul 2014, 15:45
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