If the pairs of lines x^(2)-2pxy-y^(2)=0...

If the pairs of lines `x^(2)-2pxy-y^(2)=0` and `x^(2)-2qxy-y^(2)=0` be such that each pair bisects the angle between the other pair then

Verified by Experts

The correct Answer is:

`1/(-p)=(-2q)/(-2)=(-1)/p rArr pq=-1`

Similar Questions

Explore conceptually related problems

If the pairs of lines 3x^(2)-2pxy-3y^(2)=0 and 5x^(2)-2qxy-5y^(2)=0 are such that each pair bisects the angle between the other pair then pq equals

If the pair of lines a x^(2)+2 h x y-a y^(2)=0 and b x^(2)+2 g x y-b y^(2)=0 be such that each bisects the angle between the other then

If pair of st lines ax^(2)+2hxy-ay^(2)-ay^(2)=0 and bx^(2)+2gxy-by^(2)=0 be such that each bisects the angle between the other then

The angle between the pair of lines x^(2)+2xy-y^(2)=0 is

If ax^(2)-y^(2)+4x-y=0 represents a pair of lines then a ...

If the pair of lines x y-x-y+1=0 and the line a x+2 y-3=0 are concurrent then a=

If x^(2)-kxy+y^(2)+2y+2=0 represent a pair of st lines then k equals

If k x^(2)-y^(2)+2 x-y=0 represents a pair of lines, then k=

If x^(2)+k y^(2)+x-y=0 represents a pair of lines then k=