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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, 07:06
1
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A
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D
E

Difficulty:

  45% (medium)

Question Stats:

61% (00:55) correct 39% (00:56) wrong based on 227 sessions

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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


need discussions on this. i will provide the solution soon

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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, 07:14
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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, 07:19
1
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 09 Feb 2017, 19:08
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]

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New post 13 Jun 2018, 23:59
E, because we do not know the coordinates of B.
D can be a trap!
Re: B is a point equidistant from points A and C. How far is B   [#permalink] 13 Jun 2018, 23:59
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B is a point equidistant from points A and C. How far is B

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