Q266 / 270 · NDA 2021 (Phase 2) · Mathematics

What is the order of the differential equation of all ellipses whose axes are along the coordinate axes?

  • A
    1
  • Correct answer
    B
    2
  • C
    3
  • D
    4

Solution

The general equation of all ellipses whose axes are along the coordinate axes, $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ The above equation has two arbitary constants, so the differential equation will have order 2 .

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

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