Question

The order of the differential equation of all parabolas whose axis of symmetry along $x$-axis is:

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

Answer 1

Answer: (A)

$2$

All the parabola having axis of symmetry along $x$-axis is given by $y^2=ax+b$

Clearly there are two arbitrary constant in the above equation

Hence order of differential equation corresponding to the above parabola is $2$