Question

Order of differential equation of the family of ellipse having major axis parallel to Y-axis is equal to

• A. $2$
• B. $3$
• C. $4$
• D. $5$

Answer 1

Answer: (C)

$4$

Let us assume general equation of ellipse to be

$\frac{(x-a{)}^2}{P^2}+\frac{(y-b{)}^2}{Q^2}=1$

where $Q>P$

As there are 4 arbitrary constants, order of differential equation=4.