give a geometric description of the set of points in space whose coordinates satisfy the given pair of equation. x2 + y2 = 4, z = 0

Q: Find a parametric representation of the line through the points P(1,-1,2) and Q(3,1,8).

A: The parametric equation of line through the points x1,y1,z1 and x2,y2,z2 is given by  x=x1+tx2,…

Q: Find a parametric representation of the solution set of the linear equation.3x − 1/2y = 9

A: Given equation is Where x and y are unknown.

Q: If A ABC is reflected across the line y-z+ 1, what are the coordinates of Point A post-reflection?…

A: In the question it is asked to show the reflection of the triangle shown in figure. It is asked to…

Q: (a) Identify and graph the quadric surface -r - y + 2? = 1.

A:

Q: In Exercises 1–3, give a geometric description of the set of points in space whose coordinates…

A: Hi there! Thank you for the question, but as per our guidelines we can solve only one question at a…

Q: give a geometric description of the set of points inspace whose coordinates satisfy the given pairs…

A:

Q: give a geometric description of the set of points inspace whose coordinates satisfy the given pairs…

A: We have to find the geometric description of the set of points in space whose coordinates satisfy…

Q: What does a set of equations x = 1, y = 2 represent in space? Select one: a. A twisted surface. b. A…

A:

Q: give a geometric description of the set of points in space whose coordinates satisfy the given pair…

A: Consider the given equation as x=-1, z=0

Q: The graph of (x/a) + (y/b) + (z/c) = 1 is a plane for any non-zero numbers a, b, and c. Which planes…

A: The graph of given plane is,

Q: Which of the following cartesian equation represents the locus satisfying |2 – 2 – 2i| -x O b. y Y

A:

Q: give a geometric description of the set of points in space whose coordinates satisfy the given pair…

A: Given: x2+y2=4z=y

Q: (a) y= -2 (d) xy = 0

A: Consider the given information.(a)The given condition is y=-2.The line y=-2  is a vertical line,…

Q: give a geometric description of the set of points inspace whose coordinates satisfy the given pairs…

A: Consider the given equation is, y=x2z=0 From the given equations, the geometric description is that…

Q: Find an equation of the largest sphere that passes through the point (-1, 1,4) and is such that each…

A: Find the equation of sphere.

Q: Find the Cartesian coordinates of the given point. O 1) (0, 1) 2) (1, 0) 3) (0, -1) 4) (-1, 0)

A: We need to find cartesian coordinates.

Q: Give a geometric description of the set of points (x, y, z) satisfying the pair of equations z = 0…

A: given: the set of points (x,y,z) satisfying the pair of equations z=0 and x2+y2=1. as we know that…

Q: give a geometric description of the set of points inspace whose coordinates satisfy the given pairs…

A: The given equations are x2+y-12+z2=4    and   y=0. Substitute y=0 in x2+y-12+z2=4 and simplify as…

Q: Let a point a = (2, 4, 5). %3D a) Find the distance from this point to the xy-plane.

A: Consider the point

Q: describe the given set with a single equation orwith a pair of equations. The plane perpendicular to…

A: Given:  The plane perpendicular to the x-axis at (3, 0, 0) To Describe: Given set with a single…

Q: Find a parametric representation of the solution set of the linear equation.12x1 + 24x2 − 36x3 = 12

A:

Q: Describe with a sketch the sets of points 1x, y, z2 satisfying the following equations. y - z = 0

A: First sketch the graph of the function y-z=0 as shown below.

Q: The ___________ is the point on a two-dimensionalplane from which the drops originated

A: The ___________ is the point on a two-dimensional plane from which the drops originated.

Q: Describe the set of points in 3-space defined by the equations x? + y² + z2 - 8z = 9, x = 3. %3D

A:

Q: Find a parametric representation of the solution set of the linear equation.−3x + 4y − 2z = 1

A:

Q: . Find the coordinates of if M is the midpoint of and M(2,-1).

A:

Q: 1. Give a geometric description of the set of points in space whose coordinates satisfy the given…

A: Given: Let us consider the given set of points, a) x=-1, z=0 b) x2+y2+z2=25, y=-4 c) x2+y2=4, z=-2

Q: give a geometric description of the set of points inspace whose coordinates satisfy the given pairs…

A: Given that: y2+z2=1, x=0

Q: 2х + Зу 3 12

A: 2x+3y=12

Q: Give a geometric description of the set points in space whose coordinates satisfy the given pair of…

A: Given  x2+y2+z2=9, z=0 Now transforming the equation we will get x2+y2=9

Q: Which of the following planes contains the z-axis?(a) z = 1 (b) x + y = 1 (c) x + y = 0

A: In 3 dimensions, the rectangular coordinate system has 3 perpendicular axes, x, y, and z. Any point…

Q: Find a parametric representation of the line through the point P(3,1,-4) and perpendicular to the…

A:

Q: Зх + 2у + 3z %3D 6

A: Use a graphing utility to plot the graph of 3x+2y+3z=6 .

Q: (b) Express the following points in Cartesian coordinates: (i) P(1, 60°, 2); and (ii) Q(2, 90°, -4).

A:

Q: give a geometric description of the set of points inspace whose coordinates satisfy the given pairs…

A: Given: The pair of equations: x2+y2=4, z=y We have to give a geometric description of the set of…

Q: (b) Express the following points in Cartesian coordinates= (i) P(1, 60°, 2); and (ii) Q(2, 90°, -4).

A: Given: (i)P1,60°,2(ii)Q2,90°,-4

Q: Find the canonical or standard equation of the sphere, if it exists. 2x² +2y² + 2z² – 4x+12y–16z+6=0…

A: To write the canonical or standard equation of the below sphere. 2x2+2y2+2z2−4x+12y−16z+6=0

Q: give a geometric description of the set of points inspace whose coordinates satisfy the given pairs…

A: Consider the set of points in space whose coordinates satisfy the given pairs of equations. x2 + y2…

Q: Try to visualize the set of all points (x, y, z)in a coordinate space that are twice as far from the…

A: a) Suppose the distance between two points  A(x, y, z)  and the origin   Plug into the distance…

Q: Determine whether each point lies in the plane.  2x + y + 3z − 6 = 0 (a) (3, 6, −2)    (b) (−1, 5,…

A: Given- 2x+y+3z-6=0 To find-  whether each point lies in the plane and the points are (a) (3, 6, −2)…

Q: give a geometric description of the set of points in space whose coordinates satisfy the given pairs…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: give a geometric description of the set of points inspace whose coordinates satisfy the given pairs…

A: y=0, z=0

Q: a)Find the equation of the plane in 3- dimensional space passing through the points P = (1, 2, 1), Q…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: give a geometric description of the set of points inspace whose coordinates satisfy the given pairs…

A: x2+y2=4, z=0

Q: Graph the first-octant portion of each plane.y + z = 5

A: y+z=5 We need to graph the first octant portion

Q: Find the intersection of the following geometric objects: the plane 3x - y + z = 3 and the plane 2x…

A:

Q: give a geometric description of the set of points inspace whose coordinates satisfy the given pairs…

A: Given that, x2+z2=4y=0

Q: describe the given set with a single equation orwith a pair of equations. The plane perpendicular to…

A: Given: The plane perpendicular to the z-axis at (0, 0, -2)

Q: The graph of (x/a) + (y/b) + (z/c) = 1 is a plane for any nonzero numbers a, b, and c. Which planes…

A: Given equation of plan is xa+yb+zc=1   ...(1) Where a, b, c≠0

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.