A) \[(0,\,\,-1)\]
B) \[(-1,\,\,0)\]
C) \[(1,\,\,1)\]
D) \[(-1,\,\,-1)\]
Correct Answer: D
Solution :
Given lines are \[xy+2x+2y+4=0\] ... (i) and \[x+y+2=0\] ... (ii) From Eqs. (i) and (ii), we get \[xy=0\] \[\Rightarrow \] \[x=y=0\] \[\therefore \]Vertices of triangle are \[(-2,\,\,0),\,\,(0,\,\,0),\,\,(0,\,\,-2)\]. In a right angled triangle circumcentre is the midpoint of hypotenuse. \[\therefore \]Point (-1,-1) is the required coordinate of the circumcentre.You need to login to perform this action.
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