If the pairs of straight lines `ax^(2)+2hxy-ay^(2)=0` and `bx^(2)+2gxy-by^(2)=0` be such that each bisects the angles between the other, then

If the pair of straight lines x^(2)-2pxy-y^(2)=0and x^(2)-2qxy-y^(2)=0 are such that each pair bisects the angle between the other pair , then prove that pq=-1 .

If the pair of lines ax^2-2xy+by^2=0 and bx^2-2xy+ay^2=0 be such that each pair bisects the angle between the other pair , then |a-b| equals to

If the pairs of lines x^(2)+2xy+ay^(2)=0andax^(2)+2xy+y^(2)=0 have exactly one line in common then the joint equation of the other two lines is given by

If the pair of lines x^(2)+2xy+ay^(2)=0 and ax^(2)+2xy+y^(2)=0 have exactly one line in common, then a =

Statement I. if alpha beta=-1 then the pair of straight lines x^2-2alphaxy-y^2=0 and y^2+2betaxy-x^2=0 are the angle bisector of each other. Statement II. Pair of angle bisector lines of the pair of lines ax^2+2hxy+by^2=0 is h (x^2-y^2)=(a-b)xy.

If x^2-2p x y-y^2=0 and x^2-2q x y-y^2=0 bisect angles between each other, then find the condition.

If x^2-2p x y-y^2=0 and x^2-2q x y-y^2=0 bisect angles between each other, then find the condition.

The angle between the straight lines x^(2)-y^(2)-2x-1=0 , is

Two pairs of straight lines have the equations y^(2)+xy-12x^(2)=0andax^(2)+2hxy+by^(2)=0 . One line will be common among them if

If ax^(2)+2hxy+by^(2)=0 then (dy)/(dx) is