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

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Senior Manager
Joined: 10 Jul 2013
Posts: 315
B is a point equidistant from points A and C. How far is B  [#permalink]

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05 Aug 2013, 07:06
1
9
00:00

Difficulty:

55% (hard)

Question Stats:

59% (01:20) correct 41% (01:12) wrong based on 251 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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Asif vai.....

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

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05 Aug 2013, 07:14
4
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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Senior Manager
Joined: 10 Jul 2013
Posts: 315
Re: B is a point equidistant from points A and C. How far is B  [#permalink]

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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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Asif vai.....

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Joined: 24 Aug 2016
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Location: India
WE: Information Technology (Computer Software)
Re: B is a point equidistant from points A and C. How far is B  [#permalink]

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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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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 &nbs [#permalink] 13 Jun 2018, 23:59
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