Question
Mathematics Question on Slope of a line
The two lines lx+my=n and l′x+m′y=n′ are perpendicular if
A
ll'+mm'=0
B
lm'+ml'
C
lm+l'm'=0
D
lm'+ml'=0
Answer
ll'+mm'=0
Explanation
Solution
Product of slopes =−1
?ll′′+mm′=0
The two lines lx+my=n and l′x+m′y=n′ are perpendicular if
ll'+mm'=0
lm'+ml'
lm+l'm'=0
lm'+ml'=0
ll'+mm'=0
Product of slopes =−1
?ll′′+mm′=0