Knowing the points $(3m+n,2)$ and $(2m+n,-1)$ are symmetric with respect to the first bisector, is it correct to say
- $m-n=1$
- $m-n=-5$
- $m-n=-11$
- $m-n=-13$
- $m-n=15$
I think by first bisector, they mean the perpendicular bisector. So, the mid point is $\left(\dfrac{5m+2n}2,\dfrac12\right)$.
Not able to establish symmetry from here on.
@Jean Marie gave the hint that the first bisector meant the line $y=x$.
So, $$3m+n=-1\\2m+n=2\\\implies m=-3, n=8$$
So, the answer is $m-n=-11$