question_answer

If the origin is the mid-point of the line segment joined by the points \[(2,3)\] and \[(x,y),\] then the value of \[(x,y)\] is:

A) \[(2,3)\]

B) \[(-2,3)\]

C) \[(-2,-3)\]

D) \[(2,-3)\]

Correct Answer: C

Solution :

[c]

\[\frac{2+x}{2}=0\,\,\,\,\,\,\,\,\Rightarrow \,\,\,\,\,\,\,\,\,x=-2\]

\[\frac{3+y}{2}=0\,\,\,\,\,\,\,\,\Rightarrow \,\,\,\,\,\,\,\,\,y=-3\]