MHT CET2017MathematicsPair of Lines
If lines represented by equation p x 2 - q y 2 = 0 are distinct then
Options
- Ap q > 0
- Bp q < 0
- Cp q = 0
- Dp + q = 0
Correct answer
A. p q > 0
Step-by-step solution
p x 2 - q y 2 = 0 Comparing with standard homogeneous equation we get, a = p , b = - q , h = 0 Lines are real and distinct if h 2 - a b > 0 ⇒ 0 + p q > 0 p q > 0