Question

The differential equation of all conics with centre at origin is of order

• A. 2
• B. 3
• C. 4
• D. 1

Answer 1

Answer: (B)

3

The general equation of all conics with center at origin can be written as
$a{x}^2+2hxy+b{y}^2+c=0$

Dividing by '$a$', we get

$x^2+\left(\frac{2h}{a}\right)xy+\left(\frac{b}{a}\right)y^2+\left(\frac{c}{a}\right)=0$
Since, it has three arbitrary constants.So, the differential equation is of order 3.