QJEEAdv05Ma3866: JEE Advanced 2005 Mathematics - Class 11 JEEAdv05Ma3866 Solution: A circle is given by , another circle C touches it externally…

Question

Verified Solution • 2025–26 Session moderate

A circle is given by

{x^2}\, + \,{(y\, - \,1\,)^2}\, = \,1

, another circle C touches it externally and also the x-axis, then thelocus of its centre is

A $\{ (x,\,y):\,\,{x^2} = \,4y\} \, \cup \,\{ (x,\,y):\,\,y \le \,0\,\}$
B $\{ (x,\,y):\,\,{x^2} + \,{(y\, - \,1)^2}\, = \,4\} \, \cup \,\{ (x,\,\,y):\,\,y \le \,0\,\}$
C $\{ (x,\,y):\,\,{x^2} = \,y\} \, \cup \,\{ (0,\,\,y):\,\,y \le \,0\,\}$
D $\{ (x,\,y):\,\,{x^2} = \,4y\} \, \cup \,\{ (0,\,\,y):\,\,y \le \,0\,\}$

Accepted Answer

Answer

No answer available for this question.