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Byju's Answer
Standard XII
Mathematics
Distance between Parallel Lines
Find the equa...
Question
Find the equation of a line passing through the point of intersection of 3x-y +5=0 and 2x+y-15 =0 and the origin .
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Solution
3
x
−
y
+
5
=
0
2
x
+
y
−
15
=
0
Solving these two equations simultaneously
x
=
2
y
=
11
Point
1
=
(
2
,
11
)
Point
2
=
(
0
,
0
)
(origin)
Equation of line passing through
1
&
2
y
=
m
x
+
c
Here passes through
(
0
,
0
)
0
=
0
+
c
c
=
0
y
=
m
x
11
=
m
×
2
m
=
11
2
y
=
11
2
x
2
y
−
11
x
=
0
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0
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