Find the values of h, if lines given by `3x^2+2hxy+3y^2=0` are real?

If the slopes of the line given by 6x^(2)+2hxy+y^(2)=0 are in the ratio 1:2 , then h=

If the slopes of the lines given by ax^(2)+2hxy+by^(2)=0 are in the ratio 3:1 , then h^(2)=

If the slopes of the lines given by ax^(2)+2hxy+by^(2)=0 are in the ratio 3:1 , then h^(2)=

Find the condition that the one of the lines given by ax^2+2hxy+by^2=0 may be perpendicular to one of the lines given by a'x^2+2h'xy+b'y^2=0

Find the condition that the one of the lines given by ax^2+2hxy+by^2=0 may be perpendicular to one of the lines given by a'x^2+2h'xy+b'y^2=0

If the line 3x-2y=0 coincide with one of the lines given by ax^(2)+2hxy+by^(2)=0 , then

Find the condition that one of the lines given by ax^2+2hxy+by^2=0 may coincide with one of the lines given by a' x^2 +2h'xy+b'y^2=0

Find the condition that one of the lines given by ax^2+2hxy+by^2=0 may coincide with one of the lines given by a' x^2 +2h'xy+b'y^2=0

Find the condition that one of the lines given by ax^2+2hxy+by^2=0 may coincide with one of the lines given by a' x^2 +2h'xy+b'y^2=0