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If A and B are different points on graph x^2 + y^2 = 25 then what is

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If A and B are different points on graph x^2 + y^2 = 25 then what is  [#permalink]

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New post 12 Oct 2017, 10:57
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A
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C
D
E

Difficulty:

  55% (hard)

Question Stats:

53% (01:52) correct 47% (01:17) wrong based on 47 sessions

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If A and B are different points on graph x^2 + y^2 = 25 then what is the length of line AB?

1) The Y co-ordinates of both A and B points are identical
2) X and Y co-ordinates of both points A and B are integers

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Re: If A and B are different points on graph x^2 + y^2 = 25 then what is  [#permalink]

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New post 12 Oct 2017, 14:33
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GMATinsight wrote:
If A and B are different points on graph x^2 + y^2 = 25 then what is the length of line AB?

1) The Y co-ordinates of both A and B points are identical
2) X and Y co-ordinates of both points A and B are integers

Source: http://www.GMATinsight.com


The above equation represents a circle with radius 5 and center (0,0)

1) The Y co-ordinates of both A and B points are identical

Case 1: Let A = (5,0) & B = (-5,0)..........AB is the diameter of the circle =10

Case 2: Let A = (3,4) & B = (-3,4)..........AB is less than length of the diameter.

Insufficient

2) X and Y co-ordinates of both points A and B are integers

Case 1: Let A = (5,0) & B = (-5,0)..........AB is the diameter of the circle =10

Case 2: Let A = (3,4) & B = (-3,4)..........AB is less than length of the diameter.

Insufficient

Combine 1 & 2 using same examples above, no certain length of AB

Insufficient

Answer: E
Re: If A and B are different points on graph x^2 + y^2 = 25 then what is &nbs [#permalink] 12 Oct 2017, 14:33
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