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

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

A

3

B

1

C

4

D

2

Answer

3

Explanation

Solution

The equation of all parabolas having directrices parallel to x-axis is (xh)2=±4a(yk)( x - h ) ^ { 2 } = \pm 4 a ( y - k ).

There are three arbitrary constants, h, k and a.

\therefore order = 3.