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B is a point equidistant from points A and C. How far is B

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B is a point equidistant from points A and C. How far is B [#permalink]

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New post 05 Aug 2013, 06:06
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B is a point equidistant from points A and C.
How far is B from either point ?

(1) The coordinates of the points A and C are (1,2) and (2,1) ,respectively
(2) The distance between A and C is √2


[Reveal] Spoiler:
need discussions on this. i will provide the solution soon
[Reveal] Spoiler: OA

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Re: B is a point equidistant from points A and C. How far is B [#permalink]

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New post 05 Aug 2013, 06:14
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Consider the image.

B is a point equidistant from points A and C. How far is B from either point ?

(1) The coordinates of the points A and C are (1,2) and (2,1) ,respectively
Not sufficient, as shown.

(2) The distance between A and C is √2
Clearly not sufficient.

(1+2)No new info, and point B could still be anywhere on the line shown.
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Re: B is a point equidistant from points A and C. How far is B [#permalink]

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New post 05 Aug 2013, 06:19
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Zarrolou wrote:
Consider the image.

B is a point equidistant from points A and C. How far is B from either point ?

(1) The coordinates of the points A and C are (1,2) and (2,1) ,respectively
Not sufficient, as shown.

(2) The distance between A and C is √2
Clearly not sufficient.

(1+2)No new info, and point B could still be anywhere on the line shown.



you are really a stunning math killer.....
i knew the concept but just wanted to be sure about it, you know its DS problem... so thanks again brother...... you deserve two kudos for this diagram......
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Re: B is a point equidistant from points A and C. How far is B [#permalink]

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New post 23 Aug 2014, 04:14
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Re: B is a point equidistant from points A and C. How far is B [#permalink]

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New post 19 Mar 2016, 22:21
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: B is a point equidistant from points A and C. How far is B [#permalink]

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New post 09 Feb 2017, 18:08
Suppose coordinates of point B ( x, y)

(1) The coordinates of the points A and C are (1,2) and (2,1) ,respectively

Distance between A & B = Distance Between A & C

\((y-2)^2 + (x-1)^2 = (y-1)^2 + (x-1)^2\)

Solving above equation gives x=y. <-- Not sufficient

(2) The distance between A and C is √2

No Information about coordinates of Point B. <-- Not sufficient

Combining (1) & (2), we don't have any information about point B.

Ans. E
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Re: B is a point equidistant from points A and C. How far is B   [#permalink] 09 Feb 2017, 18:08
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