Angle between two lines

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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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