Q95 / 160 · TS EAMCET 2007 · Mathematics

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

  • A
    $c=0$
  • B
    $c < 0$
  • C
    $c=-1$
  • Correct answer
    D
    $c>0$

Solution

For $c>0$, the coaxial system of circles represents a non-intersecting coaxial system for which 2 distinct limiting points.

Hence, the correct answer is option: 'D'.

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