Write the equation of a sphere that has a center at C(2, 5,-3) and contains points D(4, 1, 1) on the edge of the sphere

Q: 2x² + y² +3z² = 1 y² = 4x x² -z² = y 2z = x² +4y² 2x + y − z =1 z = 4y²-x² E

A: We have to match the graph with equation and write name of these shapes.

Q: (b) Find the equation of the sphere in R³ that has the diameter from A(1, 2, -1) to B(5,-2,0).

A: Part (b):- Given co-ordinates of diameter are  A1, 2, -1   to   B5, -2,  0.

Q: Find an equation for the plane through the points (0, 3, -7),(4,12, –15), and (-3, 7, – 15). An…

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Q: Write the equation for the plane. The plane through the point P(-4, -4, 3) and parallel to the…

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Q: Find the equation of sphere having its centre on the line 2x - 3y = 0 = 5y + 2z and passing through…

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Q: a) Find the area of ​​a rosette petal given by r = 3cos3θ b) Find the equation of the plane that…

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Q: a) Find the distance between the points (7,0,1) and (-5,4,2). b) Find the center and radius of the…

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

Q: Find an equation of the sphere whose endpoints of a diameter are (-2,0, 5) and (-1,2, 3).

A: To find the length of the diameter use the distance equation Therefore, D=-2-(-1)2+0-22+5-32…

Q: a) [ ] Show that the equation 4x8y + 12z + 2x² + 2y² + 2z² = -20 represents a sphere, and find its…

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Q: Find the equation of the plane passing o= 6,0,6), through the points A= (-4,5,-2 ) and 8= (-4,0,1)…

A: Equation of plane

Q: Q5 Is it possible to construct a sphere that pass through the following points? (a) {(0,1, 2, ),…

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Q: Write the equation for the plane. The plane through the points P(5, -2, -27) , Q(-3, -4, 25) and…

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Q: Let P(-5, -3, -7) and Q(7, 11, 1) be two points in three dimensional space. Write an equation of the…

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Q: Find an equation of the plane. The plane through the points (2, –1, 3), (5, 3, 6), and (-3, -3, -3)

A: We are asked to find the equation of the plane

Q: Find an equation of a sphere if one of its diameters has endpoints (5, 0, 6) and (7, 4, 8).

A: Solution of the problem as follows

Q: Find the equation for the plane through the points Po(-2,3,5), Qo(-4, – 1, - 2), and Ro(4,1,0).

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Q: Find an equation of the plane. The plane through the points (4, 1, 4), (5, -8, 6), and (-4, –5, 1)…

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Q: 5. Show that the equation represents a sphere, and find its center and radius:…

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Q: The equation represents Select one: x² + y² + z² + 6z = 4x + 12 a sphere with center(-2, 0, 3) and…

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Q: Use a system of equations to find the parabola of the form y = ax +bx +c that goes through the three…

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Q: Find an equation of the sphere whose endpoints of a diameter are (-2, 0, 5) and (-1, 2, 3).

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Q: Find the equation of the plane passing through the point A=(2,3,-1),B=(4,5,2),C=(3,6,5).

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Q: Find the equation for the plane through the points Po(4.4,5), Qo(-5,-3,- 4), and Ro(-2,- 4,2). The…

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Q: Find the equation of the sphere passing through P(-8, 5, 8) and Q(6, -7, 7) with its center at the…

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Q: Find the equation for the plane through the points Po(4,2,5), Qo(- 3,1, - 1), and Ro(-1,- 2,3).

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Q: Find an equation of the largest sphere contained in the cube determined by the planes x = 0, x = 8,…

A: given the planes:

Q: Find the equation of the sphere which passes through (2, 1, 3), (3, 2, 1), (1, –2, –3), (–1,1, 2).

A: Given that the sphere passes through the points (2,1,3), (3,2,1), (1,-2,-3), (-1,1,2).

Q: Find the equation of the sphere passing through P(-6, 5, 6) and Q(2, - 1, 5) with its center at the…

A: Given that, P(-6,5,6) and Q(2,-1,5). Obtain the equation of the mid point of PQ.…

Q: Find an equation of the sphere concentric with the sphere x^2 + y^2 + z^2 + 4x + 2y − 6z + 10 = 0…

A: Topic = Geometry

Q: Find equations for the planes The plane through (2, 4, 5), (1, 5, 7), and (-1, 6, 8)

A: It is given that the plane passing through three points P2,4,5, Q1,5,7 and R-1,6,8. Equation of the…

Q: Write the equation for a sphere centered at the point ( – 1, 7, 6) and the point ( – 7, 7, – 5) is…

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Q: Write the equation of the sphere if (3, 4, 7) and ( - 5, 6, – 3) are the end points of a diamter of…

A: (3,4,7) and (-5,6,-3) are the end points of the diameter of a sphere.

Q: (a) ) Find an equation of the sphere that passes through the point (1, -2,0) and centered at the…

A: According to Bartleby guidelines, we are supposed to do only one question. if you want more to be…

Q: a) [ Show that the equation 6x + 6y-6z + 3x² + 3y² + 3z² = 18 represents a sphere, and find its…

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Q: Find an equation of the sphere with points P such that the distance from P to A(-2, 5, 3) is twice…

A: Given :The distance between point on sphere P to A is twice the distance from P to BA-2, 5, 3 and…

Q: Find the equation for the plane through the points Po(4,3, - 4), Qo(0,-5,3), and Ro(0,4, - 2). The…

A: The plane passing through the points P0(4,3,-4), Q0(0,-5,3) and R0(0,4,-2)

Q: Find the equation for the plane through the points Po(1,5,5), Qo(- 1, – 5, – 5), and Ro (2,0, – 4).

A: NOTE: Refresh your page if you can't see any equations. . given points are

Q: Find a plane containing the point (-6,-4,-8) and the line of intersection of the planes - 2x – 2y –…

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Q: Find the equation for the plane through the points Po(- 5, - 3, - 4), Qo(-3, - 1,1), and Ro(4,3,0).…

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Q: (-2,0,5) and (–1,2, 3). Find an equation of the sphere whose endpoints of a diameter are

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Q: Find the equation of the plane containing the x-axis and passing through the point (4,3,1/5)

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Q: A surface in space is defined by the equation x2 – y? + z2 + 5 = 0. Which one of these is true? The…

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Q: The points in a rectangular waterproofed room with dimensions 20 x 20 x 20 are given coordinates by…

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Q: Write the equation of the plane. The plane containing the points (6,-3,1), (5,-4,1) and (3,–4,0).

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Q: Find an equation of a sphere if one of its diameters has endpoints (7, 9, 9) and (3, 5, 7). tep 1…

A: From step 2 the midpoint is (5, 7, 8), Now the radius is distance from the mid point (5, 7, 8) to…

Q: Find an equation of the sphere with points P such that the distance from P to A(-2, 5, 2) is twice…

A: Let    P(x,y,z)  be the general point  A( -2, 5, 2)  and  B(6, 3, -3)PA=2PB Recall

Q: Find an equation of the plane. The plane through the points (2, 1, 2), (3, -8, 6), and (-2, -3, 1)

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Q: Find the equation of the plane passing through the points O = (0,0,0), A = (2,2, –4) and B = (-4,0,…

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Q: Find the equation of the sphere passing through P(- 8, 7, 8) and Q(4, – 1, 7) with its center at the…

A: If the center of the sphere has coordinates h,k,l and radius r, then the equation of the sphere is…

Q: 15. In the xy-plane, (-3, 1) and (4, 3) are the endpoints of a diameter of a circle. What are the…

A: Endpoints of diameter are (-3, 1) and (4, 3).

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.