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COMEDK2013MathematicsCircle

The co-axial system of circles given by x²+y²+2 g x+c=0 for c < 0 represents

Options

  1. Acircles
  2. Bnon-intersecting circles
  3. Ctouching circles
  4. Dtouching or non-intersecting circles

Correct answer

A. circles

Step-by-step solution

The equation x²+y²+2 g x+c=0 represents co-axial system of circle having centre ul (-g, 0) and radius = g²-c . As c < 0 , radius is always greater than 0 . So , it has imaginary limiting points which show that circles are intersecting.

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