The degree and order of the differential equation of all parabolas whose axis is $x$-axis are
Answer & explanation
Correct answer: option 2
The equation of all parabolas whose axis is X-axis is given by $y^2=4 a(x-h)$
Differentiating w.r. to $x$, we get
$2 y y_1=4 a \Rightarrow y y_1=2 a \Rightarrow y_1^2+y y_2=0$
This is a differential equation of order 2 and degree 1.