Question

The degree and order of the differential equation of the family of all parabolas whose axis is x–axis, are respectively

• A. 1,2
• B. 3,2
• C. 2,3
• D. 2,1

Answer 1

The correct option is A 1,2

Equation of family of parabolas with x-axis as axis is $y^2=4a(x+\alpha )$ where $a,\alpha$ are two arbitrary constants. So differential equation is of order 2 and degree 1.