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

If two of the lines represented by ax^4 +bx^3y +cx^2 y^2+dxy^3+ay^4=0 bisects the angle between the other two, then

If one of the lines of my^(2)+(1-m^(2))xy-mx^(2)=0 is a bisector of the angle between the lines xy=0 , then m is

Two pair of straight lines have the eqautions y^2+xy-12x^2=0 and ax^2+2hxy+by^2=0 . One line will be common among them if

Consider the equation of a pair of straight lines as x^2-3xy+lambday^2+3x-5y+2=0 The angle between the lines is theta then the value of cos 2 theta is

If the pair of lines ax^2 +2hxy+ by^2+ 2gx+ 2fy +c=0 intersect on the y-axis then

If the slope of the lines given by a^2x^2+2hxy+b^2y^2=0 be three times of the other , then h is equal to

Consider the equation of a pair of straight lines as x^2-3xy+lambday^2+3x-5y+2=0 The value of lambda is