Home
Class 12
MATHS
Find the equation of the sphere passing ...

Find the equation of the sphere passing through `(0, 0, 0), (1, 0, 0), (0, 1, 0) and (0, 0, 1)`.

Text Solution

Verified by Experts

The correct Answer is:
`x^2+y^2+z2-x-y-z=0`
Promotional Banner

Similar Questions

Explore conceptually related problems

Find out the equation of a sphere that passes through the points (0, 0, 0), (a, 0, 0), (0, b, 0) and (0, 0, c).

Find the equation of the plane passing through the points (1, 2, 3) and (0, -1, 0) and parallel to the line (x-1)/(2)=(y+2)/(3)=(z)/(-3)

Find the vector equation of the plane passing through the points (1, -2, 5) (0, -5, -1) and (-3, 5, 0). Transform the vector equation into cartesian equation.

Find the equation of a sphere which passes through (1,0,0)(0,1,0)a n d(0,0,1), and has radius as small as possible.

Find the vector equation for the line passing through the points (-1, 0, 2) and (3, 4, 6).

Find the equation of the parabola with vertex at (0,0) and focus at (0,2) .

Find the equation of the line passing through the point (3, 0, 1) and parallel to the planes x + 2y = 0 and 3y – z = 0.

Find the lengths of the medians of the triangle with vertices A(0, 0, 6), B(0, 4, 0) and (6, 0, 0).

In a uniform electric field, the potential is 10V at the origin of coordinates , and 8 V at each of the points (1, 0, 0), (0, 1, 0) and (0, 0, 1). The potential at the point (1, 1,1 ) will be .