describe the given set with a single equation or with a pair of equations. The circle of radius 2 centered at (0, 0, 0) and lying in the a. xy-plane b. yz-plane c.plane y=2

Q: M is the midpoint of the chord PQ of a circle. AB and CD are two other chords through M. PQ meets AD…

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Q: Let y be a circumference and let P be a point in the plane that lies inside y (but distinct from its…

A: Drawing a circumference means drawing a circle of any radius. tangent intersects the graph only at…

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: Line ATB touches a circle at T and TC is a diameter. AC and BC cut the circle at D and E…

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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: find the center (h, k) and the radius r of the circle. x2+y2

A: We have find the radius and centre

Q: Which among the circles has radius 5 units? (x- 3)2 + (y – 4) = 25 %3D (x- 3) +y-4)² = 5 (x-4) +…

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Q: Let C1 be the unit circle oriented counterclockwise, and let C2 be the circle of radius 2 centered…

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Q: State the term that best describes each set of points with respect to circle O. A 1. BD 2. <BOA 3.…

A: Let us consider a circle with center O  Diameter : Any  line that passes through the center of the…

Q: The midpoint of AB is M(2, –1). If the coordinates of A are (1, 6), what are the coordinates of B?…

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Q: A sphere with dimension [r=5m] what is the error that can be incorporated in the redais shuch that…

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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 point is the closest point on the sphere a? + y? + z? = 4 from the point…

A: Given: The given sphere is x2+y2+z2=4 and the point is (3,1,-1)

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: Use the given endpoint R and midpoint M of RS to find the coordinates of the other endpoint S. 8) R…

A: To determine the endpoints of the line.

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: Find the standard form for the equ of a circle (xh)² + (y - k)² = 7² with a diameter that has…

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Q: E B a Name all points collinear with E and F. b Are G, E, and D collinear? Are F and C collinear? c…

A: Since you have asked multiple question, we will solve the first three subparts of the first question…

Q: 1. In the xy coordinate plane shown to the left, points B, E, G and I are on the circle with center…

A: From the given figure,H =  4 , 2 B =  1 , 3 E =  3 , 5 G =  7 , 3 I =  3 , -1 Equation of circle…

Q: N and O are two points in the xy-plane. If their coordinates are N (3, 6) and O(5, 9) which of the…

A: We have to find the equation of the circle. In this problem first we will find the center and then…

Q: Give a geometric description of the following set of points. x? +y? +z? - 10x +8y – 4z + 20 = 0…

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Q: Evaluate . (x-y)dS where C is given as the part of the circle x2 + y? = 4 between the points %3D…

A: Use parameterization to solve given problem. x = 2 cos t y = 2 sin t.

Q: a) Plot the given points on the Cartesian plane and also find and plot the midpoint. A(H,-T), B (Τ,…

A: H=0,  T=7  &amp;  U=0 a). AH, -T=A0, -7BT, U=B7, 0 Now the mid point is, 0+72, -7+02=3.5, -3.5…

Q: Let P be the point with Cartesian coordinates (2, 1, 4) and Q be the point (4, 3, 10). a. What is…

A: We have to solve all three parts

Q: Given a point P := (30, 24, 9) and a plane 2x + 2y + z =-12, let D be the distance from P to this…

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Q: Find the shortest and longest distance from the point (1,2, -1) to the sphere x2 + y? + z? = 24 %3D

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Q: Find an equation for the circle. Endpoints of a diameter (-4, 3), (2, -7) O (x + 2)2 + (y + 1)2 = 34…

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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: 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: What is the standard form of equation of a circle centered ar C(h, k) whose radius is r? A (x-h) +…

A: Solved below

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

A: Solution

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: 1. On a coordinate plane, DEF has vertices D(1, 2), E(7, 2) and F(1, 9). What is the distance…

A: Since, distance bewteen two points is given by:-d=x2-x12+y2-y12

Q: Mr. Iwan wanted his students to graph the following circles on the same coordinate plane. Circle 1:…

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Q: The figure below shows a circle with center F, diameter GD, secant GR, and tangent TP. Which of the…

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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: . Consider the region in the first quadrant of the ry-plane and bounded by the circle x? + y? = 9.…

A: The point which is nearest to a particular point is known as the closest point and the point which…

Q: Plot the given points on the Cartesian plane and also find and plot the midpoint. A(H,–T),B(T, U)

A: We have been given - H = 0T = 7U = 0Then,A = H,-T = 0,-7B = T, U = 7, 0Let's draw these points on…

Q: Which of the following two-dimensional cross sections are circles? Select all that apply. A any…

A: Using geometry it can be stated that the following cross sections are circle:  Cross section of a…

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: 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: Given A ABC with points A (-1,2) B(4,-3) and C (0,0) dilated about a center at the origin by a scale…

A: Topic:- Geometry

Q: Find a formula that expresses the fact that an arbitrary point P(x, y) is on the perpendicular…

A: Given:point A(-5,3),B(9,-9)         arbitrary point p(x,y) is on perpendicular bisector 'l'we know…

Q: 1. Give the definition of the circle radius R centered at the point C. 2. Find the equation of a…

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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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Q: Show the complete solutions. Family of circles centered at (h, k) Ans: y [1 + (y)²]- 3y'(y")² = 0

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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.