Q118 / 160 · AP EAMCET 2024 (23 May Shift 1) · Mathematics

Among the options given below, from which option a differential equation of order two can be formed?

  • Correct answer
    A
    All circles passing through origin
  • B
    All parabolas passing through origin and having focus on x -axis
  • C
    All the lines passing through the origin
  • D
    All hyperbolas of the form $\mathrm{x}^2-\mathrm{y}^2=\mathrm{k}^2$

Solution

Equation of circles passing through origin $x^2+y^2+2 g x+2 f y=0$ where $g$ and $f$ are constants So, 2 arbitrary constants $\Rightarrow$ Order of differential equation will be 2 .

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

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