A) \[x+2y=0\]
B) \[2x+y=0\]
C) \[x-y=0\]
D) None of these
Correct Answer: C
Solution :
Since equation of diagonal \[11x+7y=9\]does not pass through origin, so it cannot be the equation of the diagonal OB. Thus on solving the equation AC with the equations OA and OC, we get \[A\left( \frac{5}{3},-\frac{4}{3} \right)\] and \[C\,\left( \frac{-2}{3},\,\frac{7}{3} \right)\]. Therefore, the middle point M is \[\left( \frac{1}{2},\frac{1}{2} \right)\] Hence the equation of OB is \[y=x\] i.e.,\[x-y=0\].You need to login to perform this action.
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