Question: 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
Options:
A) 1
B) -1
C) 2
D) 0
Show Answer
Answer:
Correct Answer: B
Solution:
- Mid-point of AB is $ P( \frac{-,3+1}{2},\frac{b+b+4}{2} ) $
$ =P,( \frac{-,2}{2},\frac{2b+4}{2} )=P(-1,b,+2) $
$ \because $ Mid-point $ (-1,1) $
$ \therefore $ $ b+2=1 $
$ \Rightarrow $ $ b=-1 $