Translation T maps the point (1, 3) to (2, 6). Which of the following rules describes the translation T? Т: («, у) — (2а, 2у) OT: (1,4) (, u) T:(x,y) → От:(х, у) (ӕ — 1,у — 3) -

Q: 2:- find the line of interSection o f the plane -2x + 73 - 2324 given by 3x t6y-52=-3 f the plane

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Q: 04: Find the distance between the parllel lines L, and L2 where L1: x = 2 - t, y = 2t, z = 1+t L2: x…

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Q: Find the angles between the planes x + y = 1, 2x + y - 2z = 2

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Q: Rhombus WXYZ with vertices W(1, 5), X(6, 3),Y(1, 1), and Z(-4, 3) in the x-axis W'

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Q: equations is dependent. parameter) -2z=-3 +5z=12 +11z=30

A: Given equations x+4y-2z=-32x-y+5z=128x+5y+11z=30 Lets write the given equations in matrix form  To…

Q: Due to lockdown made by COVID 19 pandemic, a pizza company decided to limit its delivery to up to…

A: consider the following figure where (1,2) is t he point where Pizza company is located. mark the…

Q: Find a line that intersects the plane x+y+z=4 at only one point

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Q: Determine the intersection of 3x – 4y – 5z = 0 with [x, y, z] = [3, 1, 1] + t [2, -1, 2].

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Q: (A) Find the angles between the planes 2 x + 2 y+ 2z = 3 and 2x- 2 y-z = 5 (8) Find the distance…

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Q: Find the angles between the planes x+y=1 ,2x+y_2z=2

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Q: Find the plane containing the intersecting lines: L1: x = -1 + t, y = 2 + t, z = 1 - t; -∞< t < ∞…

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Q: n Exercises 39–41, find the distance from the point to the plane. 39. (2, 2, 3), 2x + y + 2z = 4 40.…

A: Given:

Q: Suppose you start at the origin, move along the x-axis a distance of 7 units in the positive…

A: To determine: The coordinates of the position when starts at the origin and move along the x-axis a…

Q: A perpendicular line is drawn from point P(1,2,1) to the plane -2x+ 4z 8 and meets the plane at…

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Q: Find the point on the plane x−3 y+3 z =−8 that is closest to the point (−2,−2,0) .

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Q: 10. Find an equation of the plane that passes through the points (x, y, z) = (1, 2, −1), (x, y, z) =…

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Q: 3. Line segment JK in the xy-coordinate plane has endpoints with coordinates (-4, 11) and (8, -1).…

A: As per guidelines we can answer only one question at a time, so the first question can be answered…

Q: Which graph shows the intersection curve, in the first octant, between a cylinder of equation: (x −…

A: In this question, we need to find the curve which describes the intersection of the surfaces.…

Q: ation of the plane.

A: Topic:-: geometry

Q: having ita Ans. Centers: (2, 1), (1, 4). y = 3, 7x +y = 5, and having ita center or. 16. Touching…

A: Topic-circles

Q: Find a plane containing the lines x = 3+ 21 x =1- 21 y = 4– 31 and y = 7+41 where -o <t<00, z =1-31.…

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Q: Find the equetion of the plane contains the line x=3t,y=1+t, z=2t, and parallel to the line of…

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Q: 6. Determine the horizontal and vertical axis Intercepts:r = 51 - 140cos 0. 51 -1 0, cos CoS 51 H:…

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Q: 1. y = x², x = 0 , x = 2, y = 0, about the x – axis - 2. V9 - y?, у %3 1, у %3 3, а %3D 0, about the…

A: Use formula to calculate volume

Q: The line through the point (0, 14, – 10) and parallel to the line x= -1 + 21, y = 6 – 31, z = 3 + 9t…

A: If the line is parallel to the line x = -1 + 2t; y=6 -3t and z=3 + 9t, then the line is parallel to…

Q: Calculate the distance between the points L= (0, - 5) and G=(7, - 2) in the coordinate plane. Give…

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Q: Find symmetric equations for the line of intersection of the planes. 4x — 2у — 2z %3 0, 2x + y + z =…

A: NOTE: Refresh your page if you can't see any equations. . system Ax=b is

Q: Calculate the distance between the points N=(-9, 8) and Q=(-1, 1) in the coordinate plane. Give an…

A: Euclidean distance between two points in coordinate geometry is basically the length of the line…

Q: Find the coordinates of a point that is located five units in front of the yz-plane, three units to…

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Q: The plane given by x + y + 2z = 0 and the line given by x = 2 + t y = 1 - 2t z = 3 + t

A: The plane given by x + y + 2z = 0 and the line given by x = 2 + t;  y = 1 - 2t ;  z = 3 + t To find…

Q: Derermine the pointof intersection of the linel:- [-6,9,-1]+t[-a,3 ,1], t ER, and the plane, TT-x +…

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Q: Where does the line through (-3, 1, 0) and (−1, 3, 8) intersect the plane 2x + y − z = -2? (x, y, z)…

A: Given the points (-3,1,0) and (-1,3,8) and the plane 2x+y-z=-2

Q: Let a rectangular a'y'z'-coordinate system be obtained by rotating a rectangular xyz-coordinate…

A: The standard transition matrix from B to B' is given by: P=cosθ-sinθ0sinθcosθ0001

Q: n Exercises 39–41, find the distance from the point to the plane. 39. (2, -3, 4), x + 2y + 2z = 13…

A: Given, (2, -3, 4), x + 2y + 2z = 13.

Q: 10- -10 -8 -6 4 4 6 8 10 -10- 2. 2.

A: Given query is to find distance between two points G and N.

Q: 8) Rectangle GHJK with vertices G(2,3), H(2, 5), J(6, 5) and K(6, 3) is rotated 180° about the…

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Q: ind the line of intersection of the planes x+y+z=1 and y+z=0

A: The given planes are x+y+z=1 and y+z=0. It is required to find the equation of line of intersection.…

Q: Q1): Find the point (x, y, z) that lines on the plane x + y + 2z = 4 that is near origin.

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Q: The plane through the points (2, 1, - 1), (0, -2, 0), and (1, -1, 2) is parallel to the line x=1-t,…

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Q: Find the coordinates of the point. The point is located in the yz-plane, seven units to the right…

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Q: Where does the line through (1, 0, 1) and (3, –3, 4) intersect the plane x + y + z = 6? (x, y, z) =…

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Q: 6. Determine the point of intersection of the line l: = [-6,9,–1] + t[-2,3,1], t € R. and the plane,…

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Q: 3 Find the points of the intersection of the line x = -2, y = 4+2t, z = -3+t with the xy-plane,…

A: The given equation of lines are  x = - 2, y = 4 +2t z = - 3 + t

Q: The line of intersection of the planes 2x +y - z= 4 and 4x – y+3z = 2 has equation %3D O a) (x, y,…

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Q: find the line of intersection of the two planes. j) Find the line of intersection of the plane given…

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Q: Find the points of intersection of the line 6. = y+3= z 4 with the plane I+ 3y + 2z – 6 = 0. ОА(-10,…

A: We will solve the following.

Q: How 3 Find the dirtance from the paintofintersection af Lines (xat y=1-36,2--2-t)and(x=+t ya4+t, Z…

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Q: Calculate the distance between the points J=(-2, 0) and P=(6, 6) in the coordinate plane. Give an…

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Q: Coordinates of point which partitions a directed line segment AB at the ratio of a:b from A(x.yı) to…

A: We have…

Q: Where does the line through (-3, 1, 0) and (-1, 7, 4) intersect the plane 2x + y- z = -2? (x, y, z)…

A: Useparametric equation of plane to solve

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.