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Find the equations of the tangents to the circle
MATHEMATICS · Multi-part · CBSE · Mathematics · Circles · Circles
Problem
Find the equations of the tangents to the circle
x
2
+
y
2
=
9
x^2 + y^2 = 9
x
2
+
y
2
=
9
, which (1) are parallel to the line
3
x
+
4
y
−
5
=
0
3x + 4y - 5 = 0
3
x
+
4
y
−
5
=
0
(2) are perpendicular to the line
2
x
+
3
y
+
7
=
0
2x + 3y + 7 = 0
2
x
+
3
y
+
7
=
0
(3) make an angle of
60
∘
60^\circ
6
0
∘
with the X-axis
Related theory
Straight Lines
Circles
Equation of a Circle
Coordinate Geometry
Functions
Tangent to a Circle
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