AP EAMCET202017 Sep 2020Evening ShiftMathematicsPair of LinesActual
The lines represented by (a x^2+2 h x y+b y^2=0 ) are perpendicular to each other, if ........
Options
- A(h^2=a+b )
- B(a+b=0 )
- C(h^2=a b )
- D(h=0 )
Correct answer
B. (a+b=0 )
Step-by-step solution
Pair of straight lines through origin are given by (a x^2+2 h x y+b y^2=0 ) Angle " ( ) ' between lines is given by, ( = | 2 h^2-a b a+b | ) When lines are perpendicular ( =90^ ) ( = a+b=0 )