| If \[P\left( \frac{a}{3},4 \right)\] is the mid-point of the line segment joining \[A\,(-\,6,5)\] and \[B\,(-\,2,\,3),\] then a is equal to |
A) (a)\[-\,4\]
B) (b)\[-12\]
C) 12
D) \[-\,6\]
Correct Answer: B
Solution :
| We have, \[=\frac{-\,6+(-\,2)}{2}=\frac{a}{3}\] |
| \[\Rightarrow \] \[\frac{a}{3}=\frac{-\,8}{2}\] |
| \[\therefore \] \[a=-12\] |
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