If angle between the two lines is 45° and slope of one line is 1/4 then which of the following is possible value of the slope of other line.(a) 3/5(b) -3/5(c) -5/3(d) 4/5This question was posed to me during an online exam.My query is from Various Forms of the Equation of a Line topic in division Straight Lines of Mathematics – Class 11

If angle between the two lines is 45° and slope of one line is 1/4 th

1.	If angle between the two lines is 45° and slope of one line is 1/4 then which of the following is possible value of the slope of other line.(a) 3/5(b) -3/5(c) -5/3(d) 4/5This question was posed to me during an online exam.My query is from Various Forms of the Equation of a Line topic in division Straight Lines of Mathematics – Class 11
Answer» CORRECT answer is (b) -3/5 Easy explanation: If angle between two LINES with slopes m1 and M2 is α then tan α = \|(m1-m2)/(1+m1*m2)\| tan 45° = \(\|\frac{m-1/4}{1+m/4}\|\) => \(\frac{4m-1}{m+4}\) = -1 =>- m-4 = 4m-1 => 5M = -3 => m = -3/5.

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