This question appeared in my practise exam and I didn't have a clue of how to go about it... here goes...
If S (a,b) represents the coordinates of the focus for conic x^2 + 2xy + y^2 +2x + 4y = 0, then the maximum value of |a|.b is
a) 1
b) 2
c) 3
d) 4
It'd be great if someone would help me with the solution and provide me with a detailed explanation... thanks