1. The slopes of two lines are 1 and √3. What is the angle between these two lines?
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By: anil on 05 May 2019 02.15 am
Slope of the two lines, $$m_1=1$$ and $$m_2=sqrt{3}$$ Let angle between them = $$ heta$$ Then, $$tan( heta)=|frac{m_2-m_1}{1+m_1m_2}|$$ => $$tan( heta) = frac{sqrt{3}-1}{1+sqrt{3}}$$ => $$tan( heta)=frac{tan(60)-tan(45)}{1+tan(60)tan(45)}$$ => $$tan( heta)=tan(60-45)$$ $$ecause [tan(A-B)=frac{tanA-tanB}{1+tanAtanB}]$$ => $$ heta = 15$$° => Ans - (A)
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