Find the Partial differential equation of the family of all spheres whose centre lie on the plane z=0 and have a constant radius ‘r’

## Problem

## Question

Find the Partial differential equation of the family of all spheres whose centre lie on the plane z=0 and have a constant radius ‘r’

## Topic

Partial Differentiation Equation (PDE)

## Partial Differentiation Equation Problems

- Form the Partial Differential equation by eliminating the arbitrary constants from z = (x+a)(y+b)
- Form the Partial differential equation by eliminating the arbitrary constants from 2z = x^2/a^2 + y^2/b^2
- Form the Partial differential equation by eliminating the arbitrary constants for the equation a x^2 + b y^2 + z^2 =1
- Form the Partial differential equation by eliminating the arbitrary constants for the equation z = a log (x^2 + y^2) + b
- Find the Partial differential equation of the family of all spheres whose centre lie on the plane z=0 and have a constant radius ‘r’
- Form the Partial differential equation by eliminating the arbitrary constants for the equation, z = xy + y sqrt(x^2 – a^2) +b
- Form the Partial differential equation by eliminating the arbitrary constants in the equation, x^2 / a^2 + y^2 / b^2 + z^2 /c^2 =1