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The midpoint of segment \mathrm{AB} is \mathrm{P}(0,4). If the coordinates of \mathrm{B} are (-2,3), then the coordinates of \mathrm{A} are (a) (2,5) (b) (-2,-5) (c) (2,9) (d) (-2,11)
CBSE | Class 10 | Coordinate Geometry | Exercise 16.5 | Maths | RS Aggarwal
The midpoint of segment \mathrm{AB} is \mathrm{P}(0,4). If the coordinates of \mathrm{B} are (-2,3), then the coordinates of \mathrm{A} are (a) (2,5) (b) (-2,-5) (c) (2,9) (d) (-2,11)

The correct option is option (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

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

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