If \[P\,(-1,\,\,1)\] is the mid-point of the line segment Joining \[A\,(-\,3,\,\,b)\] and \[B\,(1,\,\,b+4),\] then b is equal to |
A) 1
B) -1
C) 2
D) 0
Correct Answer: B
Solution :
Mid-point of AB is \[P\left( \frac{-\,3+1}{2},\frac{b+b+4}{2} \right)\] |
\[=P\,\left( \frac{-\,2}{2},\frac{2b+4}{2} \right)=P(-1,b\,+2)\] |
\[\because \] Mid-point \[(-1,\,\,1)\] |
\[\therefore \] \[b+2=1\]\[\Rightarrow \]\[b=-1\] |
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