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Byju's Answer
Standard VII
Mathematics
Major Arc, Minor Arc and Semicircular Arc
Find the equa...
Question
Find the equation of the line intersecting the y-axis at a distance of
3
units above the origin and
tan
θ
=
1
2
, where
θ
is the angle of inclination.
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Solution
We have,
tan
θ
=
m
=
1
2
Since, the line intersecting the
y
−
a
x
i
s
at a distance of
3
units above the origin, it means
y
=
3
and
x
=
0
.
So, the point
(
0
,
3
)
We know that the equation of the line
y
−
y
1
=
m
(
x
−
x
1
)
Therefore,
y
−
3
=
1
2
(
x
−
0
)
2
(
y
−
3
)
=
x
2
y
−
6
=
x
x
−
2
y
+
6
=
0
Hence, this is the answer.
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