MHT CET2011MathematicsPair of Lines
If a pair of lines x²-2 p x y-y²=0 and x²-2 q x y-y²=0 is such that each pair bisects the angle between the other pair, then
Options
- Ap q=-1
- Bp q=1
- C1 p + 1 q =0
- D1 p - 1 q =0
Correct answer
A. p q=-1
Step-by-step solution
Since, x²+ 2 x y p -y²=0 , is the angle bisectors of x²-2 p x y-y²=0 But given that angle bisectors are array c x²-2 q x y-y²=0 -2 q=2 / p array p q=-1