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Mathematics
Mathematics
Problem
The distance between the chords of contact of tangents to 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
from the origin and from the point
(
g
,
f
)
(g, f)
(
g
,
f
)
is - (A)
g
2
+
f
2
\sqrt{g^2 + f^2}
g
2
+
f
2
(B)
g
2
+
f
2
−
c
2
\frac{\sqrt{g^2 + f^2 - c}}{2}
2
g
2
+
f
2
−
c
(C)
g
2
+
f
2
−
c
2
g
2
+
f
2
\frac{g^2 + f^2 - c}{2\sqrt{g^2 + f^2}}
2
g
2
+
f
2
g
2
+
f
2
−
c
(D)
g
2
+
f
2
+
c
2
g
2
+
f
2
\frac{\sqrt{g^2 + f^2 + c}}{2\sqrt{g^2 + f^2}}
2
g
2
+
f
2
g
2
+
f
2
+
c
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