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If the tangent at point on the circle meets the straight line at a point on the -axis
MATHEMATICS · Single correct · CBSE · Mathematics · Circles · Circles
Problem
If the tangent at point
P
P
P
on the circle
x
2
+
y
2
+
6
x
+
6
y
=
2
x^2+y^2+6x+6y=2
x
2
+
y
2
+
6
x
+
6
y
=
2
meets the straight line
x
−
2
y
+
6
=
0
x-2y+6=0
x
−
2
y
+
6
=
0
at a point
Q
Q
Q
on the
y
y
y
-axis, then the length
P
Q
PQ
P
Q
is (1)
4
4
4
(2)
2
5
2\sqrt{5}
2
5
(3)
5
5
5
(4)
3
5
3\sqrt{5}
3
5
Related theory
Circle (Standard Equation)
Conic Sections
Circles
Equation of a circle
Coordinate Geometry
Tangent length properties
Tangent to a circle
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