A circle touches the 
-axis and also touches the circle with centre (0, 3) and radius 2. The locus of the centre of the circle is
a)
A circle
b)
An ellipse
c)
A parabola
d)
A hyperbola
A circle touches the -axis and also touches the circle with centre (0, 3) and radius 2. The locus of the centre of the circle is
a)
A circle
b)
An ellipse
c)
A parabola
d)
A hyperbola
Question ID - 56698 | SaraNextGen Top Answer
A circle touches the -axis and also touches the circle with centre (0, 3) and radius 2. The locus of the centre of the circle is
a)
A circle
b)
An ellipse
c)
A parabola
d)
A hyperbola
|
A circle touches the |
|||||||
|
a) |
A circle |
b) |
An ellipse |
c) |
A parabola |
d) |
A hyperbola |
1 Answer
127 votes
Answer Key / Explanation : (c) -
(c)
Let 
be the centre of the circle
Circle touches the 
-axis then its radius is
Also circle touches the circle with centre 
and radius 
Squaring
Locus is 
which is parabola
127 votes
Answer Link
127