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In the $x y$ plane, points $A$ and $B$ are the centers of two circles
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10 May 2025, 11:08
10 May 2025, 11:08
Expert Reply
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Question Stats:
91% (02:07) correct
8% (03:25) wrong based on 12 sessions
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In the $x y$ plane, points $A$ and $B$ are the centers of two circles and $y$-axis is the tangent to both the circles. $C$ and $D$ are two points farthest from the $y$-axis on the two circles. Find the slope of the line joining $\(\overline{A B}\)$.
GRE in the xy plane.png [ 20.92 KiB | Viewed 537 times ]
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
Attachment:
GRE in the xy plane.png [ 20.92 KiB | Viewed 537 times ]
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
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Re: In the $x y$ plane, points $A$ and $B$ are the centers of two circles
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13 May 2025, 04:15
13 May 2025, 04:15
Expert Reply
According to the figure, given $\(A=(4,16)\)$ and $\(B=(1,4)\)$.
Therefore the slope of $\(A B=\frac{16-4}{4-1}=\frac{12}{3}=4\)$.
Therefore, the correct answer is $B$.
Therefore the slope of $\(A B=\frac{16-4}{4-1}=\frac{12}{3}=4\)$.
Therefore, the correct answer is $B$.
gmatclubot
Re: In the $x y$ plane, points $A$ and $B$ are the centers of two circles [#permalink]
13 May 2025, 04:15
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