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.

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 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

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

If p and q are the roots of the equation x^2-p x+q=0 , then (a) p=1,\ q=-2 (b) p=1,\ q=0 (c) p=-2,\ q=0 (d) p=-2,\ q=1

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

Evaluate ( 4p - q) ^(2) - ( 4p + q) ^(2) if p =- 1 and q =2

If the coordinate axes are the bisectors of the angles between the pair of lines ax^(2)+2hxy+by^(2)=0 , then

The parabola y=x^2+p x+q cuts the straight line y=2x-3 at a point with abscissa 1. Then the value of pa n dq for which the distance between the vertex of the parabola and the x-axis is the minimum is (a) p=-1,q=-1 (b) p=-2,q=0 (c) p=0,q=-2 (d) p=3/2,q=-1/2