Differential Equations Question 230

Question: The order of differential equations of all parabolas having directrix parallel to x-axis is

[Orissa JEE 2004]

Options:

A) 3

B) 1

C) 4

D) 2

Show Answer

Answer:

Correct Answer: A

Solution:

The equation of all parabolas having directrices parallel to x-axis is $ {{(x-h)}^{2}}=\pm 4a(y-k) $ . There are three arbitrary constants, h, k and a.
$ \therefore $ order = 3.