Q1. Find the equation of sphere with center (1, 2,-1) passing through the point (-1, 2, 1).

Q: Describe the yz-intercept of the sphere with the equation x2 + y2+z2 - 2x+ 10z +5 = 0

A: The given equation of sphere is: x2+y2+z2-2x+10z+5=0

Q: Find the equation of the sphere having the circle x +y+ z2 = 9, x- 2y+ 2z = 5 as a great circle.

A: The solution is below.

Q: Write the equation of a sphere that has a center at C(2, 5,-3) and contains points D(4, 1, 1) on the…

A: Given Data: The centre of the sphere is: C(h, j, l)=C(2, 5, -3) The point at the edge of the sphere…

Q: Find the center and radius of a sphere given by equation 3x +3y² +3z? =10+6y+12z.

A: We have to find

Q: Find the points on the coordinate plane 2,3) and Q(2.-2.-1)

A: Given query is to find point P and Q on coordinate plane.

Q: Which equation represents a circle with a center at (2, - 7) and a radius of 4 units?

A:

Q: What is the equation for a sphere centered at the point (4,-3,-7) with a radius of 5.

A: The general equation for a sphere in three dimensions is given by (x - h)^2 + (y - k)^2 + (z - l)^2…

Q: The center of the circle (x+3)2+(y-2)2=13 is(3,-2)

A: The given circle equation is (x+3)2+(y-2)2=13

Q: Q1. Find the equation of sphere whose center is at (4,-1, 7) and radius is 5.

A:

Q: What is the center of x² + y² – 6x = -4y + 68?

A: given equation of circle  x2 +y2-6x=-4y+68  x2+y2-6x+4y-68=0 Now compare with x2+y2+2gx+2fy+c=0…

Q: The equation x² + 14x + y² – 8y +z2 +10z = – 65 represents a sphere whose center is (-7,4, – 5) |

A:

Q: Q3/ The distance between the plane 2x+4y-4z-22%-0 and the point(1,-2.2) will be ?

A: Basic 3d geometry problem