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Question
Mathematics
The fix point through which the line x(a+2 b)+y(a+3 b)=a+b always passes for all values of a and b, is-
Q. The fix point through which the line
x
(
a
+
2
b
)
+
y
(
a
+
3
b
)
=
a
+
b
always passes for all values of
a
and
b
, is-
261
182
Straight Lines
Report Error
A
(
2
,
1
)
B
(
1
,
2
)
C
(
2
,
−
1
)
D
(
1
,
−
2
)
Solution:
x
(
a
+
2
b
)
+
y
(
a
+
3
b
)
=
a
+
b
a
(
x
+
y
)
+
b
(
2
x
+
3
y
)
=
a
+
b
x
+
y
=
1
and
2
x
+
3
y
=
1
P
≡
(
2
,
−
1
)