Find the equation of the sphere which passes through `(10,0),(0,1,0)a n d(0,0,1)` and whose centre lies on the plane `3x-y+z=2.`

Find the equation of the sphere which passes through (1,0,0),(0,1,0)a n d(0,0,1) and whose centre lies on the plane 3x-y+z=2.

Find the equation of the sphere passing through (0,0,0),(1,0,0),(0,1,0)a n d(0,0,1)dot

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

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 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 equation of a circle which passes through the points (1,-2) and (4,-3) and whose centre lies on the line 3x+4y=0

Find the equation of the circle passing through the points (2,3) and (-1,-1) and whose centre is on the line x-3y-11=0.

Find the equation of the line passing through the points (1,2,3)a n d(-1,0,4)dot

Find the equation of the plane which passes through the point (3,4,-1) and is parallel to the plane 2x - 3y + 5z + 7 = 0. Also, find the distance between the two planes.

The equations of the plane which passes through (0,0,0) and which is equally inclined to the planes x-y+z-3=0a n dx+y=z+4=0 is/are a. y=0 b. x=0 c. x+y=0 d. x+z=0