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ankita
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If, on a corrdinate plane, point A has the coordinates 05 Sep 2007, 19:10
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If, on a corrdinate plane, point A has the coordinates (-3,4), how far is point A from point E?

1) point E is on y- axis four units from the origin.
2) If the point A were twice as far from point E, it would be the same distance from point E as point C is at coordinate (0,-2).

Please explain the answer.

Thanks,
Ankita



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carpeD
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If, on a corrdinate plane, point A has the coordinates 05 Sep 2007, 20:07
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ankita
If, on a corrdinate plane, point A has the coordinates (-3,4), how far is point A from point E?

1) point E is on y- axis four units from the origin.
2) If the point A were twice as far from point E, it would be the same distance from point E as point C is at coordinate (0,-2).

Please explain the answer.

Thanks,
Ankita
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we know that the distance beween two points is the length of the line connecting the two which is rootOver((X1 - X2)^2 + (Y1 - Y2)^2)

from statement 1 we have 2 possibilities point E is either (0,4) or (0,-4) so this alone is not sufficient

from statement 2: we have distance between point A and point C which is rootOver(45).

it says 2*rootOver((x+3)^2 + (y-4)^2) = rootOver(45)

we obviously cannot solve for x and y here also none of two values we got from statement 1satisfy this equation. so E ?
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If, on a corrdinate plane, point A has the coordinates 05 Sep 2007, 21:07
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carpeD
ankita
If, on a corrdinate plane, point A has the coordinates (-3,4), how far is point A from point E?

1) point E is on y- axis four units from the origin.
2) If the point A were twice as far from point E, it would be the same distance from point E as point C is at coordinate (0,-2).

Please explain the answer.

Thanks,
Ankita

we know that the distance beween two points is the length of the line connecting the two which is rootOver((X1 - X2)^2 + (Y1 - Y2)^2)

from statement 1 we have 2 possibilities point E is either (0,4) or (0,-4) so this alone is not sufficient

from statement 2: we have distance between point A and point C which is rootOver(45).

it says 2*rootOver((x+3)^2 + (y-4)^2) = rootOver(45)

we obviously cannot solve for x and y here also none of two values we got from statement 1satisfy this equation. so E ?
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B should be it. we do not need the values of x and y cuz it is asking for the distance.
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carpeD
ankita
If, on a corrdinate plane, point A has the coordinates (-3,4), how far is point A from point E?

1) point E is on y- axis four units from the origin.
2) If the point A were twice as far from point E, it would be the same distance from point E as point C is at coordinate (0,-2).

Please explain the answer.

Thanks,
Ankita

we know that the distance beween two points is the length of the line connecting the two which is rootOver((X1 - X2)^2 + (Y1 - Y2)^2)

from statement 1 we have 2 possibilities point E is either (0,4) or (0,-4) so this alone is not sufficient

from statement 2: we have distance between point A and point C which is rootOver(45).

it says 2*rootOver((x+3)^2 + (y-4)^2) = rootOver(45)

we obviously cannot solve for x and y here also none of two values we got from statement 1satisfy this equation. so E ?

B should be it. we do not need the values of x and y cuz it is asking for the distance.
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oh thats true !! I misread the question .. you are right B should be it ...
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sujitmgmat
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If, on a corrdinate plane, point A has the coordinates 06 Sep 2007, 15:15
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Can you please explain how did you get the equation from Statement 2? The second sentence of the stmt 2 is not clear. Thanks
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ankita
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If, on a corrdinate plane, point A has the coordinates 07 Sep 2007, 11:28
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I chose B too, but OA is C.

OE - We need to determine whether or not we can find just one possible distance between point A and point E. Statement (1) places E at either (0,4) or (0,-4), so it's insufficient. Statement (2) narrows the location of E down to an equation, but not a location. Insufficient. Now combine the Statements. Konwing that E is one of two points in (1), we can use the formula in (2) to choose between them. Since only one option works, the answer is (3).

I still think answer should be B, as we are asked to find the distance, not the exact location of E.

Ankita



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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
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