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 the pair a x^2+2h x y+b y^2=0 bisects the angle between the positive direction of the axes. Then find the relation for a ,b and h .

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

The angle between the lines ay^2-(1+lambda^2)xy-ax^2=0 is same as the angle between the line:

If the pairs of straight lines ax^(2)+2pxy-ay^(2)=0 and bx^(2)+2qxy-by^(2)=0 be such that each bisects the angles between the other, then (a) p = –q (b) pq = 1 (c) pq = -1 (d) p = q.

The lines y = mx bisects the angle between the lines ax^(2) +2hxy +by^(2) = 0 if

If the angle between the two lines represented by 2x^2+5x y+3y^2+6x+7y+4=0 is tan^(-1)(m), then find the value of m .

Show that the equation of the pair of lines bisecting the angles between the pair of bisectors of the angles between the pair of lines ax^(2)+2hxy+by^(2)=0 is (a-b)(x^(2)-y^(2))+4hxy=0

The equations of three lines are given by : 15x -8y +1 =0, 12x+5y-3=0 and 21x-y-2=0. Show that the third line bisects the angle between the other two lines.

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 .

Find the equations of the straight lines passing through the foot of the perpendicular from the point (2,3) upon the straight line 4x+3y+5=0 and bisecting the angles between the perpendicular and the given straight line.