Find the equation in the general form of the sphere described

[lolphysics3]

Homework Statement

tangent to x-3y+4z+23=0 at (1,4,-3) with radius sqrt(26)

Homework Equations

The Attempt at a Solution

well i initially thought it's possible to set up a system of equations but it didn't work out.

 

[Mark44]

Homework Statement

tangent to x-3y+4z+23=0 at (1,4,-3) with radius sqrt(26)

Homework Equations

The Attempt at a Solution

well i initially thought it's possible to set up a system of equations but it didn't work out.

Can you find a normal to the plane? It will point toward the center of the sphere (there will be two of them, though). And you know the radius of the sphere, so you should be able to find the center of the sphere.