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The acute angle θ between lines of slopes m1 and m2 satisfies tan θ =
A|(m2 – m1)/(1 – m1m2)|
B|(m2 – m1)/(1 + m1m2)|
C|(m2 + m1)/(1 – m1m2)|
D|(m2 – m1)/(m1m2)|
Answer & Solution
Correct answer: B. |(m2 – m1)/(1 + m1m2)|
tan(α2 – α1) expands to (m2 – m1)/(1 + m1m2), taken in absolute value for the acute angle.
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