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If the circle is touched by at such that
MATHEMATICS · Single correct · CBSE · Mathematics · Circles · Circles
Problem
If the circle
x
2
+
y
2
+
2
g
x
+
2
f
y
+
c
=
0
x^2 + y^2 + 2gx + 2fy + c = 0
x
2
+
y
2
+
2
g
x
+
2
f
y
+
c
=
0
is touched by
y
=
x
y = x
y
=
x
at
P
P
P
such that
O
P
=
6
2
OP = 6\sqrt{2}
O
P
=
6
2
, where
O
O
O
is origin, then the value of
c
c
c
is (1) 36 (2) 72 (3) 144 (4) 288
Related theory
Circles
Circle (Standard Equation)
Conic Sections
Equation of a circle
Coordinate Geometry
Tangent to a Circle
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