15 Find the joint equation of the line through the origin and
making an equilateral triangle with line x=3.
Answers
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Step-by-step explanation:
pair of lines are forming an equilaterak triangle with line y=3
angle of elevation of one line will be 60 and other will be 120
slope of one line
m
1
=
t
a
n
60
=
√
3
equation of line 1 is
y
=
m
1
x
=
√
3
x
y
−
√
3
x
=
0
slope of line 2 is
t
a
n
120
=
−
√
3
equation is
y
+
√
3
x
=
0
so equation of pair of lines is
(
y
+
√
3
x
)
(
y
−
√
3
x
)
=
0
3
x
2
−
y
2
=
0
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