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Mathematics
Mathematics
Problem
If the circle
x
2
+
y
2
+
2
g
x
+
2
f
y
+
c
=
0
x^2 + y^2 + 2gx + 2fy + c = 0
x
2
+
y
2
+
2
g
x
+
2
f
y
+
c
=
0
is touched by
y
=
x
y = x
y
=
x
at
P
P
P
such that
O
P
=
6
2
OP = 6\sqrt{2}
O
P
=
6
2
, where
O
O
O
is origin, then the value of
c
c
c
is a. 36 b. 72 c. 144 d. 288
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