Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Differential Equations

Question:

The differential equation y$\frac{dy}{dx}$ + x = a (where ‘a’ is a constant) represents :

Options:

a set of circles having centre on y-axis

a set of circles with centre on x-axis

a set of ellipses

none of these

Correct Answer:

a set of circles with centre on x-axis

Explanation:

y dy = (a − x) dx

$\frac{y^2}{2}=a x-\frac{x^2}{2} \Rightarrow x^2+y^2=2 a x \Rightarrow x^2+2 a x+y^2=0$

It represents a set of sides with centre on x−axis

Hence (2) is the correct answer.