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The angle between a pair of tangents from a point to the circle is
MATHEMATICS · Subjective · CBSE · Mathematics · Circles · Circles
Problem
The angle between a pair of tangents from a point
P
P
P
to the circle
x
2
+
y
2
+
4
x
−
6
y
+
9
sin
2
α
+
13
cos
2
α
=
0
x^2 + y^2 + 4x - 6y + 9 \sin^2 \alpha + 13 \cos^2 \alpha = 0
x
2
+
y
2
+
4
x
−
6
y
+
9
sin
2
α
+
13
cos
2
α
=
0
is
2
α
2\alpha
2
α
. Find the equation of the locus of the point
P
P
P
.
Related theory
Circle (Standard Equation)
Conic Sections
Circles
Equation of a circle
Coordinate Geometry
Tangent to a Circle
Tangent length properties
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