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If the length of tangent from to the circle be twice the length of the tangent from…
MATHEMATICS · Subjective · CBSE · Mathematics · Circles · Circles
Problem
If the length of tangent from
(
f
,
g
)
(f, g)
(
f
,
g
)
to the circle
x
2
+
y
2
=
6
x^2 + y^2 = 6
x
2
+
y
2
=
6
be twice the length of the tangent from
(
f
,
g
)
(f, g)
(
f
,
g
)
to circle
x
2
+
y
2
+
3
x
+
3
y
=
0
x^2 + y^2 + 3x + 3y = 0
x
2
+
y
2
+
3
x
+
3
y
=
0
, then find the value of
f
2
+
g
2
+
4
f
+
4
g
f^2 + g^2 + 4f + 4g
f
2
+
g
2
+
4
f
+
4
g
.
Related theory
Circle (Standard Equation)
Conic Sections
Power of a point
Circles
Equation of a Circle
Number of tangents from a point
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