If the angle between two lines pi/4 and slope of one of the lines is 1/2 , find the slope - Maths - Straight Lines

Question

If the angle between two lines pi/4 and slope of one of the lines
is 1/2 , find the slope of the other line

Manbar Singh · Accepted Answer

Dear Student,

Please find below the solution to the asked query :

We have,m1 = 12; m2 = ? and θ = π4Now, tan θ = m1 - m21 + m1 m2⇒tanπ4 = 12 - m21 + 12 × m2⇒1 = 1 - 2m22 + m2⇒1 - 2m22 + m2 = 1  or 1 - 2m22 + m2 = -1⇒2+m2 = 1-2m2 or 1-2m2 = -2-m2⇒3m2 = -1  or  -m2 = -3⇒m2 = -13 or  m2 = 3
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If the angle between two lines pi/4 and slope of one of the lines is 1/2 , find the slope of the other line.