wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Find the angles between the lines
x+3y=1

Open in App
Solution

Consider the given equations,

x+3y=1..(1), 3x+y=1 ......(2)

from the equation 1st,

y=13x+13

Compare with, y=m1x+C

m1=13

From equation 2nd ,

y=3x+1

Compare with y=m2x+C

m2=3

Now,let the angle between line 1st and 2nd =θ,

Using the formula,tanθ=m2m11+m1m2

tanθ=3(13)1+(3)×(13)=3×3+11+1

tanθ=3+12=1

tanθ=1


tanθ=tanπ4

tanθ=tan(ππ4)

tanθ=tan3π4

θ=3π4


Hence, this is the answer.


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Basic Concepts
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon