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Find the differential equation of all pa...

Find the differential equation of all parabolas whose axes are parallel to the x-axis an having latus rectum a.

A

3

B

1

C

4

D

2

Text Solution

Verified by Experts

The correct Answer is:
A
Let the equation of parabola having the directrix parallel to X-axis is
`x^(2)=4a(y+k)" "...(i)`
and equation of directrix is
`y=p" "…(ii)`
Here, 3 unknowns are in Eqs. (i) and (ii).
`therefore` Order of DE such parabolas having directrix parallel to X-axis is 3.
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