A) \[(2,5)\]
B) \[(-2,-5)\]
C) \[(2,9)\]
D) \[(-2,11)\]
Correct Answer: A
Solution :
[a] Let the coordinates of A are \[(x,y)\]. |
\[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,\,P(0,4)=\]Mid-point of AB |
\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,P(0,4)=\left\{ \frac{x-2}{2},\frac{y+3}{2} \right\}\] |
On comparing, we get |
\[\frac{x-2}{2}=0\,\,\,\Rightarrow \,\,\,\,x=2\] |
and\[\frac{y+3}{2}=4\,\,\Rightarrow \,\,y=8-3=5.\] |
So, required point is \[(2,5)\]. |
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