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Mathematics
Mathematics
Problem
If a chord of the circle
x
2
+
y
2
−
4
x
−
2
y
−
c
=
0
x^2 + y^2 - 4x - 2y - c = 0
x
2
+
y
2
−
4
x
−
2
y
−
c
=
0
is trisected at the points
(
1
3
,
1
3
)
\left(\frac{1}{3}, \frac{1}{3}\right)
(
3
1
,
3
1
)
and
(
8
3
,
8
3
)
\left(\frac{8}{3}, \frac{8}{3}\right)
(
3
8
,
3
8
)
, then a.
c
=
10
c = 10
c
=
10
b.
c
=
20
c = 20
c
=
20
c.
c
=
15
c = 15
c
=
15
d.
c
2
−
40
c
+
400
=
0
c^2 - 40c + 400 = 0
c
2
−
40
c
+
400
=
0
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