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In the xy-plane, the coordinates of point A are (r,s) and coordinates 22 Apr 2020, 12:35
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62% (02:00) correct 38% (02:13) wrong based on 125 sessions

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In the xy-plane, the coordinates of point A are (r,s) and coordinates of point B are (t,u). What is the length of the line segment connecting points A and B?
1) The distance between point A and the origin is 5 units, and the distance between point B and the origin is 12 units.
2) \(\frac{rt}{su}=-1\).
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Bunuel
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In the xy-plane, the coordinates of point A are (r,s) and coordinates 22 Apr 2020, 12:38
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Asad
In the xy-plane, the coordinates of point A are (r,s) and coordinates of point B are (t,u). What is the length of the line segment connecting points A and B?
1) The distance between point A and the origin is 5 units, and the distance between point B and the origin is 12 units.
2) \(\frac{rt}{su}=-1\).
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What is the source of this question?
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TheUltimateWinner
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In the xy-plane, the coordinates of point A are (r,s) and coordinates 22 Apr 2020, 12:41
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Bunuel
Asad
In the xy-plane, the coordinates of point A are (r,s) and coordinates of point B are (t,u). What is the length of the line segment connecting points A and B?
1) The distance between point A and the origin is 5 units, and the distance between point B and the origin is 12 units.
2) \(\frac{rt}{su}=-1\).

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Source: GMAT Quantum
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Ankit137
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In the xy-plane, the coordinates of point A are (r,s) and coordinates 31 Aug 2020, 20:22
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Can someone please explain the solution?
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surendrasaini1
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In the xy-plane, the coordinates of point A are (r,s) and coordinates 08 Sep 2020, 05:02
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Ankit137
Can someone please explain the solution?
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what is the length of the line segment connected by point A(r,s) and B( t,u).

Length = Sqr root of (r-t)^2 + (s-u)^2

L^2 = (r-t)^2 + (s-u)^2

= r^2 + t^2 + s^2 +u^2 - 2rt - 2su

= (r^2 + s^2) + (t^2 + u^2) - 2( rt +su)

Given
A) distance of point A & B from origin i.e. r^2 + s^2 = 25 and (t^2 + u^2) = 144.Not sufficient because we don't know the relation b/w rt & su
B) rt = -su is given but we don't know the distance of A(r,s) and B( t,u) from origin.so not sufficient.
By using both the given information, we can find the length.
(r^2 + s^2) + (t^2 + u^2) - 2( rt +su)
= 25 + 144 -2( -su + su)
= 169
L = 13
Hence, Option C is the correct choice.
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In the xy-plane, the coordinates of point A are (r,s) and coordinates 15 Sep 2020, 01:56
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Bunuel Could you post an explaination to this?
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In the xy-plane, the coordinates of point A are (r,s) and coordinates 24 Jul 2023, 23:01
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