| Two vertices of \[\Delta ABC\] are \[A\,(-1,\,\,4)\] and \[B\,(5,\,\,2)\] and its centroid is \[G\,(0,-\,3).\] Then, the coordinates of C are |
A) \[(4,\,\,3)\]
B) \[(4,\,\,15)\]
C) \[(-\,4,-15)\]
D) \[(-15,-\,4)\]
Correct Answer: C
Solution :
| Let C (x, y) be the required point. |
| Then, \[\frac{-1+5+x}{3}=0\] and \[\frac{4+2+y}{3}=-\,3\] |
| \[\Rightarrow \] \[4+x=0\] and \[6+y=-\,9\] |
| \[\Rightarrow \] \[x=-\,4\] and \[y=-15\] |
| So, coordinates of C are \[(-\,4,-15).\] |
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