Question

Q:-11 The slope of a line is double of slope of another line. If tangent of the angle between them is 1/3, find the slopes of the lines.

if possible explain step by step.

Answer 1

heyy goku ur answer............

Solution: 
Let the slopes of the two given lines be m and 2m and θ be the angle between them

The according to questions

tan∅=1/3

now, tan∅=m2-m1/1+m1m2   or

1/3=2m-m/1+2m^2

or 1 + 2m2 = 3m

or 2m2 - 2m + 1= 0

or 2m2 - 2m -m + 1= 0 

or 2m(m – 1) – 1(m – 1) = 0 

or (m – 1) (2m – 1) = 0

or m=1@m=1/2

hence slope of line is....(1/2,1) and (1/2,-1)

hope this will help u√√√@kundan