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If the angle between the tangents drawn from to is
MATHEMATICS · Single correct · ICSE · Mathematics · Geometry · Geometry
Problem
If the angle between the tangents drawn from
(
0
,
0
)
(0,0)
(
0
,
0
)
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
is
π
2
\frac{\pi}{2}
2
π
, then (1)
g
2
+
f
2
=
3
c
g^2+f^2=3c
g
2
+
f
2
=
3
c
(2)
g
2
+
f
2
=
2
c
g^2+f^2=2c
g
2
+
f
2
=
2
c
(3)
g
2
+
f
2
=
5
c
g^2+f^2=5c
g
2
+
f
2
=
5
c
(4)
g
2
+
f
2
=
4
c
g^2+f^2=4c
g
2
+
f
2
=
4
c
Related theory
Circles
Power of a point
Tangent to a Circle
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