Q197 / 270 · NDA 2010 (Phase 2) · Mathematics

What does the differential equation $y \frac{d y}{d x}+x=k$ ( $k$ is any constant) represent?

  • A
    A family of circles having centre on the $y$-axis
  • Correct answer
    B
    A family of circles having centre on the $x$-axis
  • C
    A family of circles touching the $x$-axis
  • D
    A family of ellipses

Solution

The correct answer is option (B).

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

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