KCET2020MathematicsMathematical Reasoning
The two lines l x+m y=n and l^ x+m^ y=n^ are perpendicular if
Options
- Al l^ +m m^ =0
- Bl m^ +m l^
- Cl m+l^ m^ =0
- Dl m^ +m l^ =0
Correct answer
A. l l^ +m m^ =0
Step-by-step solution
Given lines l x+m y=n and l^ x+m^ y=n^ Slope of line l x+m y-n=0 is -l / m and slope of line l^ x+m^ y-n^ =0 is -l^ / m^ lines are perpendicular aligned ( -l m ) ( -l^ m^ ) &=-1 l l^ +m m^ &=0 aligned