Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Differential Equations

Question:

Differential equation of all parabolas having their axes of symmetry coincident with the axis of X is:

Options:

$yy_1+y_1^2=0$

$yy_2+y_1^2=0$

Both A and B

None of these

Correct Answer:

$yy_2+y_1^2=0$

Explanation:

$y^2=4a(x-h)⇒2yy_1=4a$ 

Differentiate again to get:

$yy_2+y_1^2=0$