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Byju's Answer
Standard XI
Mathematics
Point Slope Form of a Line
Find the equa...
Question
Find the equation of a line perpendicular to the line
3
x
-
y
+
5
=
0
and at a distance of 3 units from the origin.
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Solution
The line perpendicular to
3
x
-
y
+
5
=
0
is
x
+
3
y
+
λ
=
0
It is given that the line
x
+
3
y
+
λ
=
0
is at a distance of 3 units from the origin.
∴
λ
1
+
3
=
3
⇒
λ
=
±
6
Substituting the value of
λ
, we get
x
+
3
y
±
6
=
0
, which is equation of the required line.
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