Angle between two lines


   
 
Angle between two lines
 
 
 
 
Dividing throughout by x2, we get
 
 
 
 
 
This being a quadratic in m has two roots m1 and m2.
 
 
 
If m1 and m2 are the slopes of the lines, then q, the angle between the lines is given by
 
 
 
 
 
 
 
Corollary
 
i) The straight lines are coincident if h2 - ab = 0.
 
ii) The straight lines are perpendicular if a + b = 0.
 
 
     
   
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