Comprehension \( \quad \) Consider two points \( A=(1,2) \) and \( B=(3,-1) \). Let \( M \) be a...

Comprehension \( \quad \) Consider two points \( A=(1,2) \) and \( B=(3,-1) \). Let \( M \) be a point on the straight line \( L: x+y=0 \).
If \( M \) be a point on the line \( L=0 \) such that \( |A M-B M| \) is maximum, then the distance of \( M \) from.\( N \equiv(1,1) \) is
(a) \( 5 \sqrt{2} \)
(b) 7
(c) \( 3 \sqrt{5} \)
(d) 10