Answer :
Given:
The equations of the lines are
(m2 − mn) y = (mn + n2) x + n3 … (1)
(mn + m2) y = (mn − n2) x + m3 … (2)
To find:
Angles between two lines.
Explanation:
Let m1 and m2 be the slopes of these lines.
∴
Let θ be the angle between the lines.
Then,
⇒
⇒
Then,
⇒
⇒
Hence, the acute angle between the lines is
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