This is how I am solving it. Will appreciate your help to tell me where I am going wrong.
since m and n are the two points through which the graph passes they will both satisfy the equation.
0=n^2-m^2 +a (n-m)
taking n-m common
hence (n-m)=0 or (n+m+a)=0
looking at statement a
a will be something in terms of b but we will not the exact value of a.
Please tell me where am I making a mistake
n and m are the roots of the equation, so
and we need to find n-m. so just solve the equation to get (n-m) term.
(n-m)^2= (n+m)^2 - 4mn
put above values
(n-m)^2= (n+m)^2 - 4mn = a^2-4b = 4 (as per the given equation, i)
hence n-m = 2