Apprentice123
New member
- Joined
- Sep 2, 2008
- Messages
- 22
I'm having some problems in sphere
1) To determine the equation of the sphere that passes in A and B, and has straight center in s
\(\displaystyle A(0,4,3)\) \(\displaystyle B(1,1,-5)\)
(s):
\(\displaystyle x=z-2\)
\(\displaystyle y=z-3\)
2) Finding the equation of the sphere whose center belongs to the axis oz and passing to the points through M and N.
\(\displaystyle M(2,-2,0)\) \(\displaystyle N(0,-3,1)\)
3) To determine the equation of the plane tangent to the sphere \(\displaystyle x^2+y^2+z^2-4x-2y-6z-26=0\) in point \(\displaystyle F(4,1,-3)\)
The Answer:
1) \(\displaystyle (x-3)^2+(y+2)^2+(z-1)^2 = 49\)
2)\(\displaystyle x^2+y^2+z^2-2z-8 = 0\)
3)\(\displaystyle x-3z-13 = 0\)
1) To determine the equation of the sphere that passes in A and B, and has straight center in s
\(\displaystyle A(0,4,3)\) \(\displaystyle B(1,1,-5)\)
(s):
\(\displaystyle x=z-2\)
\(\displaystyle y=z-3\)
2) Finding the equation of the sphere whose center belongs to the axis oz and passing to the points through M and N.
\(\displaystyle M(2,-2,0)\) \(\displaystyle N(0,-3,1)\)
3) To determine the equation of the plane tangent to the sphere \(\displaystyle x^2+y^2+z^2-4x-2y-6z-26=0\) in point \(\displaystyle F(4,1,-3)\)
The Answer:
1) \(\displaystyle (x-3)^2+(y+2)^2+(z-1)^2 = 49\)
2)\(\displaystyle x^2+y^2+z^2-2z-8 = 0\)
3)\(\displaystyle x-3z-13 = 0\)
