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Mathematics
The equation of the circle circumscribing the triangle formed by the lines x+y=6, 2x+y=4 and x+2y=5 is:
Q. The equation of the circle circumscribing the triangle formed by the lines
x
+
y
=
6
,
2
x
+
y
=
4
and
x
+
2
y
=
5
is:
1475
232
KEAM
KEAM 2000
Report Error
A
x
2
+
y
2
+
17
x
+
19
y
−
50
=
0
B
x
2
+
y
2
−
17
x
−
19
y
−
50
=
0
C
x
2
+
y
2
+
17
x
−
19
y
−
50
=
0
D
x
2
+
y
2
−
17
x
+
19
y
+
50
=
0
E
x
2
+
y
2
−
17
x
+
19
y
+
50
=
0
Solution:
Lines,
x
+
y
=
6
,
2
x
+
y
=
4
and
x
+
2
y
=
5
Intersect at points
(
−
2
,
8
)
,
(
7
−
1
)
and (1, 2) Now, all these points lie on
x
2
+
y
2
−
17
x
−
19
y
+
50
=
0
.