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- The locus of the centre of the circle which cuts orthogonally the circle and which…
MATHEMATICS · Single correct · ICSE · Mathematics · Geometry · Geometry
Problem
- The locus of the centre of the circle which cuts orthogonally the circle
x
2
+
y
2
−
20
x
+
4
=
0
x^2 + y^2 - 20x + 4 = 0
x
2
+
y
2
−
20
x
+
4
=
0
and which touches
x
=
2
x = 2
x
=
2
is (1)
x
2
=
16
y
x^2 = 16y
x
2
=
16
y
(2)
x
2
=
16
y
+
4
x^2 = 16y + 4
x
2
=
16
y
+
4
(3)
y
2
=
16
x
y^2 = 16x
y
2
=
16
x
(4)
y
2
=
16
x
+
4
y^2 = 16x + 4
y
2
=
16
x
+
4
Related theory
Parabola
Conic Sections
Cartesian Coordinate System
Locus
Coordinate Geometry
Loci
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