Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Differential Equations

Question:

If the solution of the differential equation $\frac{dy}{dx}=\frac{ax+3}{2y+f}$ represents a circle, then the value of ‘a’ is:

Options:

2

-2

3

-3

Correct Answer:

-2

Explanation:

$(ax+3)dx=(2y+f)dy⇒\frac{-a}{2}x^2+y^2-3x+fy+c=0$

This will represent a circle, if $\frac{-a}{2}=1⇒a=-2$