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.