Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Differential Equations

Question:

The differential equation of all conics whose axes coincide with the axes of coordinates is of order

Options:

2

3

4

1

Correct Answer:

2

Explanation:

The general equation of all conics whose axes coincide with the axes of coordinates is

$a x^2+b y^2=1$

Clearly, it has two arbitrary constants. So, the differential is of order 2 .