Give a geometric description of the following set of points. x? +y? +z? - 10x +8y – 4z + 20 = 0 Select the correct choice below and fill in the answer boxes within your choice. (Simplify your answers.) O A. The exterior of a ball centered at ( D with radius | O B. A ball centered at ( D with radius O C. A sphere centered at ( with radius

Q: Consider the points P = (3, 2, 1) and Q = (1, 2, 3) in R3. (a) What is the distance between P and Q?…

A: P = (3, 2, 1) and Q = (1, 2, 3) in R3 To find: “Since you have posted a question with multiple…

Q: What are the center and the radius of the circle 4x? + 4y² - 4x + 16y + 1 = 0? • Math symbol •…

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Q: 2) Provide a geometric description of the following sets of points: a) x? + y? +z? 1

A: Here we have to provide a geometric description.

Q: : If F=(x2+y2 )i - 2xyj +xk, evaluate ∫ ?. ?? c if the contour is that portion of the circle x2 + y2…

A: F=x2+y2i-2xyj+xkTo evaluate ∫CF  da if C is given by x2+y2=a2 from the point (a,0,3) to(-a,0,3).

Q: Exercises Find the center and radius of each circle. 1. x2+ y? = 25 2. (x- 1)2+ (y + 1)2 = 49 3. (x+…

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…

Q: Use the information provided to write the standard form equation of a circle. Center: (12, 14)…

A: A circle is a locus of points which are equidistant from a fixed point. This fixed point is called…

Q: Give a geometric description of the following set of points. x2 - 24x + y? + 8y + z? + 160 = 0…

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Q: Which of the following equations describes all points that are 6 unlts away from th point (-2, 4)? A…

A: Given: 6 units away from the point (-2, 4)

Q: Which of the following point is the closest point on the sphere a? + y? +2? = 4 from the point…

A: In this question we have to find the point that is closest point on the sphere.

Q: Where are all points whose x-coordinates equal their y-coordinates? Choose the correct answer below.…

A: Consider the statement Where all the x coordinates are equal to the y coordinates. A simple example…

Q: 4. Determine the name of the point that meets the given conditions. a) R(A) = R,(C) = b) g R, (D) =…

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

Q: 28. Given the points A(3, 2) and B(7, -6) what is the point halfway between A and the midpoint of…

A: To solve the following problem

Q: In the Cartesian plane below, rectangle MNQR is shown. y (cm) N(12,29) M P >x (cm) R • An ant starts…

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Q: For circle O, the radius has length 4 inches. Describe the locus of points in the plane at a…

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Q: find the distance d between the points P1 and P2, P1 = (a, b); P2 = (0, 0)

A: we have to find the distance d between the points P1 and P2 where P1=a,b and P2=0,0

Q: 1. 2. O 1. What are the coordinates of the center of the circle defined by x² + (y- 6)? = 9? A.…

A: As per our guidelines we are supposed to answer only one question please post another question as…

Q: test for symmetry with respect to each axis and tothe origin.y = x3 + x

A: Function is a relation from a set called its domain to a set called its range. For this relation to…

Q: What is the measure of the radius of a circle defined by x²+y²+8x+8=0? a. 2/2 Where is the location…

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Q: Find the point(s) of intersection between the circle and the line provided, then state if the line…

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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: Give a geometric description of the following set of points. x² +y? +z? - 10x+ 16y - 12z +61 = 0…

A: solutionGiven equation: x2+y2+z2-10x+16y-12z+6--1The equation is of the…

Q: The solution set for set of points (x, y) for which y 2 x is: a. Below the dashed line y = x. b.…

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Q: A (2,5) and B(6,9) C (4,-1) and D(7,4) E (-5,6) and F(8,10)

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Q: Which represents the distance between the point P(x, y) and the origin? O A d= Vy² - OA. O B. d= Va2…

A: Given query is to find the distance between origin and point P

Q: 35. Find the length of XZ in the circle. Y is the center point. YZ = 3, and m2XYZ-60 A. 3 7 B. C. 6…

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Q: Solve for the value of x. Points A and B are both centers of the given circles. 9 H 8 B

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Q: Which of the following point is the closest point on the sphere z +y² + z? = 4 from the point…

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Q: 18. Which of the following is the equation of a circle whose center is at (0, 10) and radius is v2…

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Q: Which among the following statements are FALSE? I. The midpoint of a line segment joining two points…

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Q: Which of the following point is the farthest point on the sphere a? + y² + z? = 4 from the point…

A: The equation of sphere is given as, From the equation it is clear that the sphere has its center at…

Q: 4. Which equation represents a circle with center (-4, 9) and radius 7? O (x+4)? + (y-9)² = 7 O…

A: Put value in standard equation of circle

Q: B 150m 86° 120m G

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Q: Figure VWXY is an isosceles trapezoid. Answer the following. V W Z. Y X.

A: Given, Isosceles trapeziod VWXY.

Q: 1. Which of the following would find the distance between point X(a.b) and point Y(c,d)? a. V(a +…

A: The point on the cartesian coordinate system will be of the form x,y. The cartesian coordinate…

Q: Which represents the distance between the point P(x, y) and the origin? O A. d%D A. d= /y2 - x? O B.…

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Q: Which of the following point is the farthest point on the sphere z? + y² + z² = 4 from the point…

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Q: The distance between the points (-3,-5) and (2, 7) on the coordinate plane is given as V3 +t, What…

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Q: A. Determine the center and radius of the following circles. 1. (x - 4)2 + y + 8)? = 100 2. (x + 1)²…

A: I have answered first three subparts as per the guidelines.

Q: The center of a drcle is (0, -2). The radius Is 7. What Is the equation of the circle? Select all…

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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: Provide a geometric description of the following sets of points: a) x? + y? +z? 1

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Q: Which of the following would give the coordinates of the midpoint of P(-6, 13) and Q(9, 6)? O…

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Q: Find the coordinates of the midpoint of the segment with the given endpoints. 5)E (0, 4) and F (4,…

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Q: 2. Find the center and radius. Then sketch circle. x² + y? +8x-2y+15 = 0 24ニ(7ート)ナっけ) (12-ット)+ (8す2)

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Q: Which circle does the point (-1, 1) lie on? O (x-5)2 + (y+2)? = 25 O (x-2)2 + (y-5)2 = 25 O (x-2)2 +…

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Q: Let's consider points X and Y on the coordinate plane below. y Y (x2, Y2) x (x1,Y1) Write a formula…

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Q: Match each equation to its description. A. circle centered at (0, -4) with a radius of 1. (x – 1)? +…

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Q: Use the Pythagorean Theorem to determine the distance between the two points on the coordinate…

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Q: Name a fourth point that is in the same plane as the given points. 11. A, B, C 14. A. D, E 12. E. F.…

A: The point D is on the same plane as A, B, C. The point H is on the same plane as A, D, E. The point…

Q: 13. What is the distance between the points M(-3,1) and N(7,-3)? b. 2/29 a, 6 с. 14 d. 4/29 14.…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

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.