If the equation ax2+2hxy+by2=0 has one line as the bisector of angle between the coordinate axes, then
Let one line be x + y = 0 ⇒m1=−1
and we know that m1+m2=−2hb..............(i)
and m1m2=ab
Therefore from (ii), m2=−ab
⇒−1−ab=−2hb⇒(a+b)2=4h2.