find the angle between the line x+1=0 and√3x+y
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When written in form y=mx+c, m= slope of line
For L
1
: y=−
3
x−1=m
1
=−
3
For L
2
:o.y=x+1⇒y=
0
x
+
0
1
⇒m
2
→∞
Slope between lines =
∣
∣
∣
∣
∣
1+m
1
m
2
m
2
−m
1
∣
∣
∣
∣
∣
=tanθ
θ=Angle ⇒θ=tan
−1
⎝
⎜
⎜
⎛
∣
∣
∣
∣
∣
∣
∣
∣
m
1
+
m
2
1
1−
m
2
m
1
∣
∣
∣
∣
∣
∣
∣
∣
⎠
⎟
⎟
⎞
=tan
−1
(
∣
∣
∣
∣
∣
m
1
1
∣
∣
∣
∣
∣
)=tan
−1
(
∣
∣
∣
∣
∣
3
1
∣
∣
∣
∣
∣
)
⇒−θ=150
o
or 30
o
.
solution
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Hope this helps you mate✌
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