If one of the lines denoted by the line pair `a x^2+2h x y+b y^2=0` bisects the angle between the coordinate axes, then prove that `(a+b)^2=4h^2`

One of the lines given by the equation ax^2+2lamdaxy+by^2=0 will bisect the angle between the coordinate axes if

If one of the lines given by kx^(2)+xy-y^(2)=0 bisects the angle between the co-ordinate axes, then k=

If one of the lines given by the equation ax^(2)+6xy+by^(2)=0 bisects the angle between the co-ordinate axes, then value of (a+b) can be :

If one of the two lines 3x^(2)-kxy-y^(2)=0 bisects an angle between the co-ordinates axes, then : k=

Statement 1 : If -2h=a+b , then one line of the pair of lines a x^2+2h x y+b y^2=0 bisects the angle between the coordinate axes in the positive quadrant. Statement 2 : If a x+y(2h+a)=0 is a factor of a x^2+2h x y+b y^2=0, then b+2h+a=0 Both the statements are true but statement 2 is the correct explanation of statement 1. Both the statements are true but statement 2 is not the correct explanation of statement 1. Statement 1 is true and statement 2 is false. Statement 1 is false and statement 2 is true.

If one of the lines of the pair ax^(2)+2hxy+by^(2)=0 bisects the angle betwen the positive direction of the axes. Then find the relation for a,b, and h.

if one of the lines the pair ax^2+2hxy+by^2=0 bisects the angle between positive directions of the axes , then a, b, h, satisfy the relation

If one of the lines of the pair ax^(2)+2hxy+by^(2)=0 bisects the angle between positive direction of the axes, then a, b and h satisfy the relation.

If one of the lines of ax^(2)+2hxy+by^(2)=0 bisects the angle between the axes, in the first quadrant, then