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in Coordinate Geometry by (29.9k points)
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The midpoint of segment AB is P(0,4). If the coordinates of B are (-2, 3), then the coordinates of A are 

(a) (2,5) 

(b) (-2,-5) 

(c) (2,9) 

(d) (-2,11)

1 Answer

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by (30.3k points)
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Best answer

Correct answer is (a) (2,5)

Let (x,y) be the coordinates of A. then,

\(0=\frac{-2\,+\,x}{2} \Rightarrow x=2\)

\(4=\frac{3\,+\,y}{2}\Rightarrow y=8-3=5\)

Thus, the coordinates of A are (2,5).

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