If 1x, y2 are the coordinates of a point P in the xy-plane, then x is called the _________  of P and y is the _________  of P.

Q: Siceteh the curve in the compeex plane 1. 12-31= 12+3i/

A: Use the definition of modulus of a complex number and you are done.

Q: i Which of the following regions are simply-connected? a) the half-plane lying above the x-axis b)…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: 4. •E D - Give two other names for AB. . Name three points that are collinear. -. Give another name…

A: Note- “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts…

Q: 2. Given the points A(2,2,1) and B(9,3,6) and the plane K: 2x+6y+6z-9=0 Define: a. do points A and B…

A:

Q: 4 The plane t contains the point P(-1,2,–4) and the line 14:r=(2i-5j-3k)+1(-4ị + 2 j+k) (a) Show…

A: Since you have asked multiple subparts, as per our company guidelines we are supposed to answer only…

Q: Find the Cartesian equation of the locus of z where |z – 1- i| = |z – 1+ 2i|

A: Cartesian equation

Q: O Find the equ.of Plane that contains p(o,3) and Parallel co the X-2 Plane and PerPendicular to the…

A: We have to find equation of plane with given conditions.

Q: Draw a picture on the z-plane

A: In this question, we draw a picture of the given curve in C(t). here, first, we write the real and…

Q: Let a be the plane containing the line Sy-z-2=0 | 2x + z = 0 and the point (0, 1,0). Which of the…

A: Plane- surface problem....

Q: 3. If a plane contains two distinct points Pi and P2 then show that it contains every point on the…

A: Solve the given

Q: 23. The distance of the origin from the plane 2x – 3y + 6z = 14 is A 2 В 14 C с -2 D -14

A: on solving that we get

Q: Find the distance from (2, -7, 8) to each of the following. (a) the xy-plane (b) the yz-plane (c)…

A: Here we find the distance from 2,-7,-8 to a xy plane b the yzplane , c the xz plane d the x-axis e…

Q: Find the distance from (4, –2, 6) to each of the following. a. The xy-plane

A:

Q: 4. Determine whether the planes are parallel, perpendicular or neither. If neither, find the angle…

A: Two planes are neither perpendicular nor parallel.

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

A: given,       x2+y2=4and z=0

Q: The equation of the Plane in the form of Ax+By+Cz+D=0 that passes through points (3,1,-2), (-1,2,4)…

A: Topic :- 3-D  Geometry

Q: 3. Find the point in which the line x=+3t , y=1- 2t , and z=1+3t meets the plane x+y-z=1.

A: Here, given equation of line is,   And the given equation of plane is, From (1) and (2),

Q: Q2/ Find the Parametric aned standand equatior of the line Hhat passer through Points (-2,1,0)…

A: The equation of line passing through given two points is given as follows:

Q: A. Find an equation of the hyperplane H in R° that passes through P(1; 3; 5; -1,4) and is nomal to…

A: Let's see the concept. Concept:- Equation of hyperplane H in R5 that passes through(p, q, r, s, t)…

Q: 4. Find the distance from (1, −4, 9) to each of the following. (a) the xy-plane (b) the yz-plane…

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Q: Q3: Find the distance between the origin and the plane containing the points A(1,1,0), B(-1,0,1) and…

A:

Q: Which of the following points is on the xz plane? a) (1, -3, 0) b) (0, 4, 0) c) (0, 3, -2) O d) (2,…

A:

Q: 0- Draw a sketch of the Plane of 4x-tyt22-9=0

A: Solution

Q: Q3: If P, Q and R are three points having coordinates (3, -2, -1), (1, 3, 4), (2, 1, -2) in XYZ…

A: Given that P(3,-2,-1); Q(1,3,4); R(2,1,-2) are three points in XYZ space.we need to find the…

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: Hi, parts a) and b) of this question are attached.    Thanks so much!!!

A: The problem concerns the distance and angle functions in the complex plane (the set of all complex…

Q: . Suppose that A = 2, 5 are the coordinates of a point inthe xy-plane (a) Find the coordinates of…

A: Consider a coordinate x,y. Then, if the coordinate is shifted a units towards left, the new…

Q: . Find the relation between line L and plane P: Question 9. 2x +2y-32-1=0. If they intersect at one…

A: The given plane is 2x+2y-3z-1=0. Find the relation between line L and plane P. 1. The given line is…

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: Let T be the plane -3x+2y-2z =-22. Find the shortest distance d from the point Po=(3,4,-1) to T, and…

A:

Q: Find the distance from (2, –7, 8) to each of the following. (a) the xy-plane (b) the yz-plane (c)…

A: Hey, since there are multiple subparts posted, we will answer three subparts. If you want any…

Q: AB and AC are two chords of a circle of radius r such that AB = 2AC. If p and q are the distances of…

A: Given in a circle of radius r, there are two chords AB and AC such that AB=2AC. Also, the distance…

Q: Find the distance from (2, -2, 9) to each of the following. (a) the xy-plane (b) the yz-plane (c)…

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: 1. Find the distance between the two planes - 2y + z=4 and z-2y+ :-1 HI

A:

Q: Find the shortest distance between the point (1,0,-2) and the plane z+2y+z 4. Put your answer in…

A:

Q: -1. Find an equation for the plane consisting of all points that are equidistant from the points (1,…

A:

Q: An equation of a plane P passes through the point (0,0,3) and perpendicular to the line L:x =1– 2t,…

A: Given,          An equation of a plane P passes through the point 0,0,3 and perpendicular…

Q: Find i x w if ||T|| = 3, ||w|| = 4, 0 = and ī, w both lie in the xz-plane (as shown). 3 %3D

A:

Q: Which of the following is an equation for the line through the point (2, 3) and perpendiçular to the…

A:

Q: An equation of a plane P passes through the point (0, 0, 3) and perpendicular to the line L:x =1 –…

A: Remember that the vector (l, m, n) is parallel to the line with parametric equationx=a+lt, y=b+mt,…

Q: 12. Let v =|0 and y For what value(s) of h is y in the plane -3 -2 generated by v and v2?

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

Q: 4. Determine whether the planes are parallel, perpendicular or neither. If neither, find the angle…

A:

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

A: x2+y2=4, z=0

Q: a) Find the equation of the plane containing the points P(3, 1, 5), Q(- 1,– 1,– 1), and R(– 2,2, 4).

A:

Q: (2 -i)z (3 - 4i) = 0 1+ 2i ii) Given that z =x = iy, x,ye R,find the locus of the points z, on an…

A:

Q: Prove that three points (x1, yl), (x2, y2) and (x3, y3) are collinear ( on the same straight line)…

A:

Q: Describe geometrically all points P(x, y, z) that satisfy the given condition. X = 1

A: Given the points P(x,y,z) that satisfy the condition x=1.

Q: 2 Let w = z². Find the image of the first quadrant in z-plane

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.