Q81 / 225 · JEE Main 2003 · Mathematics

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

  • A
    2,3
  • B
    2,1
  • C
    1,2
  • Correct answer
    D
    3,2

Solution

$y^2=4 a(x-h), 2 y_1=4 a \Rightarrow y_1=2 a \Rightarrow y_1{ }^2+y_1=0$ Degree $=1$, order $=2$

Hence, the correct answer is option: 'D'.

More Differential Equations Questions