A) A straight line parallel to x-axis
B) A circle through origin
C) A circle with centre at the origin
D) A straight line parallel to y-axis
Correct Answer: D
Solution :
Let \[S\,(x,\,y),\] then \[{{(x+1)}^{2}}+{{y}^{2}}+{{(x-2)}^{2}}+{{y}^{2}}=2\,[{{(x-1)}^{2}}+{{y}^{2}}]\] \[\Rightarrow \,\,2x+1+4-4x=-4x+2\,\,\Rightarrow \,\,x=-\frac{3}{2}\] Hence it is a straight line parallel to y-axis.You need to login to perform this action.
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