The condition for the coaxial system $x^2+y^2+2 \lambda x+c=0$, where $\lambda$ is a parameter and $c$ is a…
The condition for the coaxial system $x^2+y^2+2 \lambda x+c=0$, where $\lambda$ is a parameter and $c$ is a constant, to have distinct limiting points, is
$c=0$
$c < 0$
$c=-1$
$c>0$
Solution
For $c>0$, the coaxial system of circles represents a non-intersecting coaxial system for which 2 distinct limiting points.