# Sphere equation

Obtain the equation of sphere its centre on the line 3x+2z=0=4x-5y and passes through the points (0,-2,-4) and (2,-1,1).

Result

r =  3.94
x0 =  1.489
y0 =  1.191
z0 =  -2.234

#### Solution:

Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

#### To solve this example are needed these knowledge from mathematics:

For Basic calculations in analytic geometry is helpful line slope calculator. From coordinates of two points in the plane it calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of segment, intersections the coordinate axes etc. Looking for help with calculating roots of a quadratic equation? Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation? Pythagorean theorem is the base for the right triangle calculator.

## Next similar examples:

1. Parametric equation
Find the parametric equation of a line with y-intercept (0,-4) and a slope of -2.
2. On line
On line p: x = 4 + t, y = 3 + 2t, t is R, find point C, which has the same distance from points A [1,2] and B [-1,0].
3. Equation of circle
find an equation of the circle with indicated properties: a. center at (-3,5), diameter 20. b. center at origin and diameter 16.
4. Discriminant
Determine the discriminant of the equation: ?
5. Solve 3
Solve quadratic equation: (6n+1) (4n-1) = 3n2
6. Catheti
The hypotenuse of a right triangle is 41 and the sum of legs is 49. Calculate the length of its legs.
7. Square root 2
If the square root of 3m2 +22 and -x = 0, and x=7, what is m?
Find the roots of the quadratic equation: 3x2-4x + (-4) = 0.
9. Equation
Equation ? has one root x1 = 8. Determine the coefficient b and the second root x2.
10. Evaluation of expressions
If a2-3a+1=0, find (i)a2+1/a2 (ii) a3+1/a3
11. Roots
Determine the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: ?
12. Distance problem 2
A=(x,2x) B=(2x,1) Distance AB=√2, find value of x
13. Right angled triangle
Hypotenuse of a right triangle is 17 cm long. When we decrease length of legs by 3 cm then decrease its hypotenuse by 4 cm. Determine the size of legs.
14. RTriangle 17
The hypotenuse of a right triangle is 17 cm. If you decrease both two legs by 3 cm you will reduce the hypotenuse by 4 cm. Determine the length of this legs.
15. Circle - AG
Find the coordinates of circle and its diameter if its equation is: ?
16. Theorem prove
We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
17. Circle annulus
There are 2 concentric circles in the figure. Chord of larger circle 10 cm long is tangent to the smaller circle. What are does annulus have?