Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Differential Equations

Question:

The degree of the differential equation of all tangent lines to the parabola $y^2=4ax$ is:

Options:

1

2

3

None of these

Correct Answer:

2

Explanation:

Equation of tangent to the parabola $y^2=4ax$ is $y=mx+\frac{a}{m}$, m is any arbitrary constant and $\frac{dy}{dx}=m$.

$⇒y=x\frac{dy}{dx}+\frac{a}{\frac{dy}{dx}}⇒x.(\frac{dy}{dx})^2-y\frac{dy}{dx}+a=0$