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Mathematics
Mathematics
Problem
If the angle between the tangents drawn to
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
from
(
0
,
0
)
(0, 0)
(
0
,
0
)
is
π
2
\frac{\pi}{2}
2
π
, then a.
g
2
+
f
2
=
3
c
g^2 + f^2 = 3c
g
2
+
f
2
=
3
c
b.
g
2
+
f
2
=
2
c
g^2 + f^2 = 2c
g
2
+
f
2
=
2
c
c.
g
2
+
f
2
=
5
c
g^2 + f^2 = 5c
g
2
+
f
2
=
5
c
d.
g
2
+
f
2
=
4
c
g^2 + f^2 = 4c
g
2
+
f
2
=
4
c
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