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MHT CET 2021 Math Solved Paper
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© examsnet.com
Question : 5
Total: 100
The three straight lines
a
x
+
b
y
=
c
,
b
x
+
c
y
=
a
and
c
x
+
a
y
=
b
are collinear, if
b
+
c
=
a
c
+
a
=
b
a
+
b
+
c
=
0
a
+
b
=
c
Validate
Solution:
Given lines are
a
x
+
b
y
=
c
,
b
x
+
c
y
=
a
and
c
x
+
a
y
=
b
On adding the given three equations, we get
a
x
+
b
y
+
b
x
+
c
y
+
c
x
+
a
y
=
a
+
b
+
c
⇒
(
a
+
b
+
c
)
x
+
(
a
+
b
+
c
)
y
=
(
a
+
b
+
c
)
On comparing with
0
x
+
0
y
=
0
for collinearity, we get
a
+
b
+
c
=
0
© examsnet.com
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