Try to visualize the set of all points (x, y, z)in a coordinate space that are twice as far from the points Q(0, 3, 0) as from the point P(0, 0, 0) . Use the Distance Formula to show that the set is a sphere, and find its center and radius.

Q: Find the distance from the point (7, -14, -21) to the plane:  2x - 3y - 6z = 1

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Q: Plot the points A = ( - 1, 8) and M = (2, 3) in the xy-plane. If M is the midpoint of a line segment…

A: We have the following information    We have to plot the points A = ( - 1, 8) and M = (2, 3) in…

Q: Write a paragraph explaining how the distance formula giving the distance between two points (x1,…

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Q: 91 a) Find an equation of the sphere with center (1,-3,-5) and tangent to xz-plane.

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Q: a) Find an equation of the sphere with center (1.-3,-5) and tangent to xz-plane.

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Q: Find the distance d between the points (1, 3) and (5, 6).

A: Our Aim is to find the distance between the points (1,3) and (5,6).

Q: ind the distance between the point (-1, 2, 1) and the plane 2x + 3y - 4z = 7. OTE: Give your answer…

A: Given query is to find the distance between the point and the plane.

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.