Find the equation of each sphere based on the information provided. Show your work and do not expand your answer. (a) Center at (4, -12, 8) with radius 10. (b) Center at (-2, 1, -4) that goes through the point (-3, -2, 1). (c) Center at (-2, 1, -4) that touches the xy-plane.

Q: An ant is walking on the xy-plane is such a way that its distance to the point (2, 4) is always the…

A: Solution: Let the point P(x,y) is the position of Ant and given that the distance from P(x,y) to…

Q: Find the centre and radius of the circle x² + y2² - 4x+6y-23 = 0. O centre (2,-3), radius 6 O centre…

A:

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.