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If the differenential equation (dx)/(3y+...

If the differenential equation `(dx)/(3y+f)+(dy)/(px+g)=0` represents a family of circle, then p=

A

g

B

f

C

4

D

3

Text Solution

Verified by Experts

The correct Answer is:
D
`(px+g) dx + (3y + f) dy = 0`
Integrating `(px^(2))/(2)+gx+(3y^(2))/(2)+fy+c = 0`
`rArr" "p = 3` (for a circle)
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