AP EAMCET2003MathematicsPair of Lines
The area (in sq units) of the quadrilateral formed by two pairs of lines ^2 x^2-m^2 y^2-n( x+m y)=0 and ^2 x^2-m^2 y^2+n( x+m y)=0 is:
Options
- An^2 2| m|
- Bn^2 | m|
- Cn 2| m|
- Dn^2 4| m|
Correct answer
A. n^2 2| m|
Step-by-step solution
Equation of lines are x+m y=0, x-m y-n=0 and x-m y=0, x+m y+n=0 or x+m y=0, x+m y+n=0 and x-m y=0, x- m-n=0 Area = | (c₁-d₁ ) (c₂-d₂ ) a₁ b₂-a₂ b₁ |= | (0-n)(0+n) - m- m |= n^2 2| m| sq units