Question

The differential equation of all conics with the co-ordinate axes as axes is of the order

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

Answer: (B)

2

The general equation of all conics with axes as coordinate axes is
$a{x}^2+b{y}^2+c=0$

$\Rightarrow x^2+\frac{b}{a}{y}^2+\frac{c}{a}=0$
Since, it has two arbitrary constants, the differential equation has the order 2.