describe the given set with a single equation or with a pair of equations.The circle of radius 1 centered at (-3, 4, 1) and lying in a plane parallel to the a. xy-plane b.yz-plane c. xz-plane

Q: 2. Determine the equation of circle G, given the following information. a) G(0,0) radius 4 b) G…

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Q: 1. Which of the following are possible for the visibility of the line? The solid is a right…

A: Given, Four figure of solid right triangular prism So for visibility of lines in which of the figure…

Q: Find the distance from (-5, 9, –12) to each of the following: 1. The xy-plane. Answer: 2. The…

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Q: If a unit circle C is traced by R(t), R(0) = (0, 1) and (0) = (2,0), then the circle

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Q: The circle below has a center at point Y. Points G, H, and I are on the circle. Y 74 H What is…

A: Given: ∠HYI=74°

Q: Kyle defines a circle as "the set of all the points equidistant from a given point." Explain why…

A: Consider Kyle's statement" the set of all points equidistant from a given point"

Q: Find the taxicab distance between the following pairs of points: (a) (1, 2) and (5, 5) (b) (2, 4)…

A: The given points are (1, 2) and (5, 5).

Q: x^2 / 4 + y^2 / 9 = 1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find all points with coordinates of the form (a, a) that are a distance 3 from P(-2, 1).

A: Given: P(-2,1) and distance is 3. To find the other coordinate point.

Q: The equaitn Isa chle n he xy- plane Shoun alve. whit is the radus D the Corde IS

A: x2+y2+4x-2y=8 On simplification, we get…

Q: Refer to the accompanying figure and find the points that belong the set (AU C)C B V. A Wa C .3B

A: Given: The given set is  U={r,s,t,u,v,w,x,y,z}

Q: ( , s) Let A = (-1,3) and B = (2, 4). Find the set of points C such that the area of triangle ABC is…

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Q: The circle below has center H. Suppose that m ZFHG=56°. Find the following. %3D G (a) m FG = (b) m Z…

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Q: The radius of the circle is centered at the origin with radius 5 is A) x2 + y2 = 5 B) x? + y? = 25…

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Q: Which of the following terms is defined as "the set of all points in a plane that are a fixed…

A: A circle is the set of all points in a plane that are a fixed distance from a given point. The…

Q: 3. Plot the circles x2 + y? = 4 and x2 + y? = 1 on the same coordinate plane. Draw your graph on…

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

A: Circle: The locus of all the points in the plane which are equidistant called radius from a fixed…

Q: What is the equation of the circle n the ry-plane that has center (4,-5) and that passes through the…

A: Option 4 is correct.

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 from (-5, 9, -12) to each of the following: 1. The xy-plane. Answer: 2. The…

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Q: Which of the following best describes Span ? O a point O three points O a line O a plane O all of R3…

A: We have to check that set is linearly independent. If independent the span R3 otherwise span…

Q: Let the circles C, :x + y = 9 and C2 : (x – 3) + (y – 4) = 16, intersect at the points X and Y.…

A: Sketch as per the conditions given:

Q: In the figure, which of the points A, B, C, D, and E belong to “the locus of points in the plane…

A: Consider the given figure, The locus of points in the plane that are at distance r from the point P…

Q: Given the figure below. What is the equation of circle M? csq M. O (z-3)° + (y+2)² = 3 O (z- 2)° +…

A: As we know that the equation of the circle is: x-h2+y-k2=r2 ....(1) Where, Center:  h,k Radius:  r…

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: 2. Which circle does the point (-1, 1) lie on? O (x-2)? + (y+6)² = 25 O (x-2)? + (y-5)² = 25 O…

A: We need to find the circle on which point (-1,1) lies:

Q: The equation of a circle centered at (4, 5) with a radius of 3 is given by which of the following…

A: We have to solve the problem

Q: Given the three points A (3,-3,5), B(-5, 2, -1), C (0, 0, 1), let: .L1 be the line through A…

A: Given a line L and a plane P. To find the angle between the line and the plane.

Q: The figure shows a fixed circle C, with equation (x – 1)? + y? = 1 and a shrinking circle C, with…

A: Equation of circle C2 is x2+y2=r2. Now calculate point of intersection Q by solving:…

Q: In a plane, what is the locus of points equidistant from two given points?a. a point b. a circle c.…

A: Query- In a plane, what is the locus of points equidistant from two given points? Answer- A point is…

Q: Find the points on z the point (1, 2, 3) axis which are at a distance /21 from

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Q: 1. Which of the following points in the standard (x, y) coordinate plane is farthest from the…

A: Find the distance of each given point from origin Using distance formula.

Q: 5. For the following points find the midpoint and the distance between the two points in the…

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Q: Use the given diagrams for each of the following 4) 5) a) Intersection of XW and YX? b) Intersection…

A: Given a 3D figure

Q: For Fano's geometry, prove that the lines through any one point of the geometry contain all the…

A: Given detail: For Fano's geometry, prove that the lines through any one point of the geometry…

Q: 1) Draw a diagram of the following and write the correct notation. Tovioe Description Diagram…

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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: Given the three points A (3,-3,5), B(-5, 2, -1), C (0, 0, 1), let: . L1 be the line through A…

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Q: Find the point with coordinates of the form (3a, a) that is in the third quadrant and is a distance…

A: Given data: The distance between points is s = 5. Given point is P(1, 2).

Q: 7. Given a circle centered at (9, -2) with a radius of 4, select the equation of the circle. (x-9)2…

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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,…

A: The mid point of a line segment divides the line into two halves. The coordinates of a midpoint is…

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: 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…

A: Consider the given graph. We have to find the formula that can be used to find midpoint of any 2…

Q: Fix one vertex at (0,a) in the (x,y)-plane and move another vertex along the x-axis. Show that the…

A: Given: A fixed vertex 0,a A second vertex moving along the x-axis. To show: The locus of the third…

Q: A line e is an invariant line for the isometry T if T(e) = l. (This is not the same as saying that…

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Q: 1. Compute the coordinate of the center point and the radius of the circle that passes through the…

A: The general form of the equation of the circle is x2+y2+2gx+2fy+c=0

Q: 1. Any point on the perpendicular bisector is from the endpoints (A and B) of the line segment.

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Q: Given the radius r = 12 and center (-7,10), find the standard equation of the circle. O (x+7)² +…

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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.