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Tardigrade
Question
Mathematics
A straight line meets the coordinates axes at A and B, so that the centroid of the triangle OAB is (1, 2). Then the equation of the line AB is
Q. A straight line meets the coordinates axes at
A
and
B
, so that the centroid of the triangle
O
A
B
i
s
(
1
,
2
)
. Then the equation of the line
A
B
is
4185
198
COMEDK
COMEDK 2015
Straight Lines
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A
x
+
y
=
6
18%
B
2
x
+
y
=
6
30%
C
x
+
2
y
=
6
34%
D
3
x
+
y
=
6
18%
Solution:
Since straight line meets the coordinate axes at A and B, so equation of line in intercept from is
a
x
+
b
y
=
1
∴
G
(
3
0
+
a
+
0
,
3
0
+
0
+
b
)
=
(
1
,
2
)
(given)
⇒
3
a
=
1
⇒
a
=
3
,
3
b
=
2
⇒
b
=
6
Hence, required equation of line is
3
x
+
6
y
=
1
⇒
2
x
+
y
=
6
