Q. 1 E5.0( 1 Vote )
Find the angles between each of the following pairs of straight lines :
(m2 – mn) y = (mn + n2)x + n3 and (mn + m2)y = (mn – n2)x + m3.
The equations of the lines are
(m2 − mn) y = (mn + n2) x + n3 … (1)
(mn + m2) y = (mn − n2) x + m3 … (2)
Angles between two lines.
Let m1 and m2 be the slopes of these lines.
Let θ be the angle between the lines.
Hence, the acute angle between the lines is
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