Question

The degree and order of the differential equation of all parabolas whose axis is X-axis are

• A. $2,1$
• B. $1,2$
• C. $3,2$
• D. None of these

Answer 1

Answer: (B)

$1,2$

The equation of all parabolas whose axis is X-axis is given by $y^2=4a(x-h)$
On differentiating w.r.t $x$ we get
$2y{y}_1=4a$
$\Rightarrow y_1^2+y{y}_2=0$
Which is the differential equation of order $2$ and degree $1$.