Given, equation of lines x2+2hxy+2y2=0 ...(i) On comparing with ax2+2hxy+by2=0 ⇒ a=1 and b=2 Le1 y=m1x and y=m2x be the lines, whose combined form is Eq. (i) ∴ m1+m2=
−2h
b
=
−2h
2
=−h ...(ii) and m1m2=
a
b
=
1
2
...(iii) ∵ m1:m2=1:2 ⇒
m1
m2
=
1
2
⇒m2=2m1 From Eq. (ii), we get m1+m2=−h and from Eq. (iii) we get m1+2m1=−h and m1m2=