COMEDK · Maths · 12. Circle
The co-axial system of circles given by \(x^{2}+y^{2}+2 g x+c=0\) for \(c < 0\) represents
- A circles
- B non-intersecting circles
- C touching circles
- D touching or non-intersecting circles
Answer & Solution
Correct Answer
(A) circles
Step-by-step Solution
Detailed explanation
The equation \(x^{2}+y^{2}+2 g x+c=0\) represents co-axial system of circle having centre ul \((-g, 0)\) and radius \(=\sqrt{g^{2}-c}\). As \(c < 0\), radius is always greater than \(0 . \mathrm{So}\), it has imaginary limiting points which show that circles are intersecting.
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