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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]

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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]

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New post 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
xy.jpg [ 11.04 KiB | Viewed 9660 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]

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New post 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

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

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New post 22 Jul 2014, 16:45
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]

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

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New post 12 Nov 2015, 19:03
statement 1 is sufficient, because wherever we put point R, it will be equidistant from the both points.
statement 2 is insufficient, since point R can be on -1;-3 which will be a point equidistant from the 2 original ones, or -2;-3 which is not equidistant.

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

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Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

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.

We get a graph as below:
Attachment:
GCDS inhimanshu In the xy-coordinate plane (20151113).jpg
GCDS inhimanshu In the xy-coordinate plane (20151113).jpg [ 16.17 KiB | Viewed 4539 times ]


In other words, it is asking whether point R is in the same distance from (-3,-3) and (1,-3).
The line x=-1 is in the same distance from the points, so the x-coordinate of R has to be -1. So condition 1 is sufficient,
making the answer A.

Once we modify the original condition and the question according to the variable approach method 1, we can solve approximately 30% of DS questions.
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Re: In the xy-coordinate plane, is point R equidistant from [#permalink]

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New post 17 Dec 2015, 10:44
First, plot the given points. Any point that is equidistant from the given points needs to be on the line x=-1.

A gives this,
B does not.

A is sufficient

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

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New post 19 Aug 2016, 19:15
Have a query, in statement 1 it is mentioned that x-coordinate is -1, now if I consider 'y' to be -3 or -8 and by applying distance between two points formula, I would get two different values. Shouldn't the y-coordinate value also be known.?

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

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New post 20 Aug 2016, 01:44
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narendran1990 wrote:
Have a query, in statement 1 it is mentioned that x-coordinate is -1, now if I consider 'y' to be -3 or -8 and by applying distance between two points formula, I would get two different values. Shouldn't the y-coordinate value also be known.?


No, the X coordinate value tells us that the point R lines in the line passing through the mid point of the line joining the two given points. Hence, whatever the coordinate of y is, you will get the same distance from the respective points. hence, A is the correct answer.
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Re: In the xy-coordinate plane, is point R equidistant from   [#permalink] 20 Aug 2016, 01:44
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