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(D) Given the equation of the circle $x^2 + y^2 + 2gx + c = 0$,where $c$ is a constant and $g$ is a parameter.The centre of the circle is $(-g, 0)$ an

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Non-intersecting type

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(D) Given the equation of the circle $x^2 + y^2 + 2gx + c = 0$,where $c$ is a constant and $g$ is a parameter.The centre of the circle is $(-g, 0)$ and the radius is $r = \sqrt{g^2 - c}$.For a co-axial system,the limiting points are the points where the radius becomes zero,i.e.,$g^2 - c = 0$,which gives $g = \pm \sqrt{c}$.Since $c > 0$,the limiting points $(\sqrt{c}, 0)$ and $(-\sqrt{c}, 0)$ are real and distinct.$A$ co-axial system with real and distinct limiting points is known as a non-intersecting type system. However,in the context of standard classification for this specific equation form where $c > 0$,the circles do not intersect each other,thus they are of the non-intersecting type.

In the co-axial system of circles $x^2 + y^2 + 2gx + c = 0$,where $g$ is a parameter,if $c > 0$,then the circles are

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