give a geometric description of the set of points inspace whose coordinates satisfy the given pairs of equations. x2 + y2 = 4, z = 0

Q: C(3,-5) and D(7,9)

A: Topic:- coordinate geometry

Q: Determine the vertex, opening and the length of the latus rectum in the given equation below. 1. y?+…

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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: Test for symmetry with respect to each axis and to the origin. y = x4 − x2 + 3

A: Given y=x4-x2+3Test of symmetry about X axis Substitute -y in place of y ,-y=x4-x2+3…

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

A: If the coordinate is in cylindrical coordinate, r,θ,z, then the rectangular coordinate is:…

Q: Test for symmetry with respect to each axis and to the origin y = x5 /(4 − x2)

A: To test symmetry of a function about x axis, replace y with -y in the given function y axis,…

Q: Find an equation of the set of all points equidistant from the points A(-1, 5, 4) and B(6, 2, –1).

A: Given : A(-1,5,4) and B(6,2,-1) Let P(x,y,x) be at equidistance from A  and B Now find the distance…

Q: Find the cartesian coordinate of the point P(r;Ɵ ) =(2,-π/6)

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Q: Find a parametric representation of the solution set of the linear equation.3x1 + 2x2 − 4x3 = 0

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Q: What points in the xy-plane satisfy the equation and inequality? Draw a figure for exercise. (x2 -…

A: Given: (x2-y2-1)(x2+y2-25)(x2+4y2-4)=0⇒(x2-y2-1)=0, (x2+y2-25)=0, and (x2+4y2-4)=0Clearly,…

Q: determine the points that are symmetric with respect to (a) the x axis, (b) the y axis, and (c) the…

A: Determine the points that are symmetric with respect to (a) the x axis, (b) the y axis, and (c) the…

Q: Help Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.…

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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 all points having a y-coordinate of - 3 whose distance from the point   (1, 2) is 13.

A: Consider the points are A = (x,-3) and B=(1,2) The distance between A and B is 13 units.   If the…

Q: Find the point symmetric to about the x-axis. 5 л 117 b) O 5 2т c) O 5 57 d) O2' 6 27 3

A: Here, we need to find the point symmetric to 52,π6 about the x-axis.

Q: Find the coordinates of the other point whose one end is (1,0) and its midpoint is (0,1)? O (1,-2) O…

A: Let's find.

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: Use the Midpoint Formula repeatedly to find the three points that divide the line segment joining…

A: Let the line segment be AB , where coordinates of A & B are 3,-2 & 5,-1 .Let the three…

Q: Use the Midpoint Formula repeatedly to find the three points that divide the line segment joining…

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Find the distance between the points p1and P2.

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Q: Describe with a sketch the sets of points (x, y, z) satisfying the following equations. (x + 1)(y -…

A: The given equation is x+1y-3=0. This implies that, x+1y-3=0x+1=0   or  y-3=0x=-1   or   y=3 Thus,…

Q: Find the distance between the points p1and P2.

A: Given: P1=-1, 1, P2=2, 2

Q: RS has endpoints R(-6,7) and ŠC0,-5). What are the coordinates of its midpoint?

A: Midpoint formula: if two points (x1,y1) and (x2,y2) then midpoint =x1+x22,y1+y22

Q: Consider the points A(-8, 0), B(4,0), and C(7,0). Find the coordinates of D if H(AB, CD).

A: Solution :-

Q: 1. In a rectangular coordinate system, the point where the x- and y-axes meet is called the

A: Consider the provided information, In a rectangle coordinate system, the point where the x and y…

Q: C(-4, 7) and D(0, -3)

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Q: Use the Midpoint Formula repeatedly to find the three points that divide the line segment joining…

A:

Q: determine the points that are symmetric with respect to (a) the x axis, (b) the y axis, and (c) the…

A: (a) Consider the point (-3, 1). Recall that to find the point that is symmetric about the x-axis, we…

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

A:

Q: Which point is one fourth of the way between point A and point Bon the line segment AB shown on the…

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Q: Use the Midpoint Formula repeatedly to find the three points that divide the line segment joining…

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 point on the x-axis that is equidistant from the points (1, 2) and (2, 3). The coordinates…

A: soln:point on x-axis which is equidistant from the points 1,2 and 2,3

Q: find the distance between points P1 and P2. P1(0, 0, 0), P2(2, -2, -2)

A: Distance between two points (x1, y1, z1) and (x2, y2, z2) is given by :

Q: Find the value of y such that the points are collinear. (1, -2), (-5, y), (-2, –5) y = %D

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Q: Test for symmetry with respect to each axis and to the origin. y = x2 + 4x

A: Consider the following equation: y=x2+4x                                  ...... 1 For symmetry…

Q: Find the distance between each of the pairs of points.(a) (-1, 5) and (1, -2)(b) (5, 0) and (2, 7)

A: Find the distance between each of the pairs of points.(a) (-1, 5) and (1, -2)(b) (5, 0) and (2, 7)

Q: Find an ordered pair (x, y) that is a solution to the equation. 2x-y=5 (x, y) = D %3D

A: Given:       To determine: An ordered pair (x, y) that is a solution of the given equation.

Q: Let A(0,-2), B(0,4) (1) Find the set of all points P(x, y) such that m(PA)=2 m(PB) (2) Convert the…

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Q: Find x such that the points A(x, 5), B(2, 3), and C(4, - 5) are collinear.

A: Given. A(x,5), B(2,3) and C(4,-5) are collinear.

Q: Imagine a parabolic PDE represented by this diagram. Which of these lines represent initial…

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Q: In the Cartesian plane below, the map of two perpendicular cross country skiing trails is shown that…

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Q: Which point is three fourths of the way between point A and point B on the line segment AB shown on…

A: To determine which point is three fourths of the way between point A and point B on the line segment…

Q: Approximate the coordinates of the points. B. 131 3. A(x, y, z) = (| В(x, у, 2) %3D (

A: To approximate the coordinates of the points A and B

Q: Give the Cartesian equation of the locus of points P(x, y) given that P is 5 units from the point…

A: Any point on the Cartesian plane is represented as x, y. The locus is a set of points on the…

Q: Find the x- and y-coordinates of the labeled point. Ay 10- The coordinates of A are 8- (Type an…

A: The labeled point lies on the x- axis . So its y-coordinates is zero .

Q: Find an equation for the set of all points equidistant from the planes y = 3 and y =-1.

A: Find an equation for the set of all points equidistant from the planes y = 3 and y = -1.

Q: 2. Find the Cartesian coordinates for the following points. a) b) 3

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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.