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If slope of one line is 1/4 and other is 5/3 then find the angle between two lines.(a) 30°(b) 45°(c) 90°(d) 180°The question was asked in unit test.My question is based upon Various Forms of the Equation of a Line in section Straight Lines of Mathematics – Class 11

Answer» RIGHT ANSWER is (b) 45°

For explanation: If angle between two lines with slopes m1 and M2 is α then TAN α = |(m1-m2)/(1+m1*m2)|

tan α = \(|\FRAC{5/3-1/4}{1+5/3*1/4}| = |\frac{20-3}{12+5}|\) = 17/17 =1 => α = 45°


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