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If the length of the tangent from a point to the circle be four times the length of…
MATHEMATICS · Subjective · CBSE · Mathematics · Circles · Circles
Problem
If the length of the tangent from a point
(
f
,
g
)
(f, g)
(
f
,
g
)
to the circle
x
2
+
y
2
=
4
x^2 + y^2 = 4
x
2
+
y
2
=
4
be four times the length of the tangent from it to the circle
x
2
+
y
2
=
4
x
x^2 + y^2 = 4x
x
2
+
y
2
=
4
x
, show that
15
f
2
+
15
g
2
−
64
f
+
4
=
0
15f^2 + 15g^2 - 64f + 4 = 0
15
f
2
+
15
g
2
−
64
f
+
4
=
0
.
Related theory
Power of a point
Circles
Functions
Tangent to a circle
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