# Sphere tangents question, test tomorrow, very important

## Homework Statement

Find the equation in the general form of the sphere described: Center (1,4,-3) radius square root of 26.

None

## The Attempt at a Solution

Well I need to find the center of the sphere to be able to right the equation. Given the radius, which would be the distance between the center and point on the plane, I thought I could make a system out of it. First equation the distance between the center and the point given (x,y,z) variables, and the distance between the point and the plane equation. I tried to solve it, but it just gave me an equation for a plane that wasn't the solution...Help please? My teacher didn't go over this type of problem or even mention it before today and it's on the test tomorrow.

micromass
Staff Emeritus
Homework Helper

## Homework Statement

Find the equation in the general form of the sphere described: Center (1,4,-3) radius square root of 26.

None

## The Attempt at a Solution

Well I need to find the center of the sphere to be able to right the equation. Given the radius, which would be the distance between the center and point on the plane, I thought I could make a system out of it. First equation the distance between the center and the point given (x,y,z) variables, and the distance between the point and the plane equation. I tried to solve it, but it just gave me an equation for a plane that wasn't the solution...Help please? My teacher didn't go over this type of problem or even mention it before today and it's on the test tomorrow.

What is the formula for the distance between (x,y,z) and (x',y',z')??