Find an equation of the sphere with center (-5, 4, 6) and radius 8. (x + 5)² + (y – 4)² + (z – 6)? = 64 | What is the intersection of this sphere with the yz-plane? , X = 0

Q: Find equations for the sphere whose centers and radii are given in center(0,-1,5) radius 2

A: Equation of sphere centered at (a, b, c) and having radius r is

Q: Find the distance from the point (3, 2, 5) to the plane whose general equation is 2x + 3y - z = 0.

A: we have to find the distance from the point (3,2,5) to the plane whose general equation is 2x+3y-z=0…

Q: 13. Find an equation of the sphere with center (-3, 2, 5) and radius 4. What is the intersection of…

A: Topic = Geometry

Q: Find an equation of the sphere with center (-5, 2, 7) and radius 7. (x +5)2 + (y – 2)² + (z – 7)² =…

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Q: 2. The plane containing the point (-8, 3, 7) and parallel to the plane given by 4x+8y-2z=45.

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Q: What is the center and radius of the sphere whose equation is (x + 1)2 + y2 + (z + 4)2 = 5? (-1, 0,…

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: Find parametric equations for the line of intersection of the planes x + 2y + 3z = 4 and 5x + 6y +…

A: Given: x+2y+3z=4   and  5x+6y+7z=8To obtain the parrametric…

Q: Find equations of the spheres with center (2, −3, 6) that touch (a) the xy-plane, (b) the yzplane,…

A: To find the equations of the spheres with center (2, −3, 6) that touch (a) the xy-plane, (b) the…

Q: Find an equation of the sphere containing all surface points P = (x, y, z) such that the distance…

A: NOTE: Refresh your page if you can't see any equations. . here we have the distance from P to A is…

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: Determine the parametric equations of the curve of of the ellipsoid 4x² + y2 + 4z2 = 4 and the…

A: Solution: Given equation:ellipsoid: 4x2+y2+4z2=4; and half−cone: y2=x2+2z2 To find: parametric…

Q: Determine the center-radius form of the equation of a sphere which circumscribes two externally…

A: If center of sphere is (u,v,w) and radius is R then equation of sphere can be written as…

Q: Find an equation for the sphere with center at (-7,8,0) and radius = 9 O x2 + y? O x2 + y2 + z- -…

A: We have to find

Q: Find an equation of the plane. The plane through the point (5, –1, –6) and parallel to the plane 5x…

A: Given point is (5,-1,-6) and plane is 5x-y-z=3 find the equation of the plane which is parallel to…

Q: Find equations for the planes. Knowing that the plane through the point PO (0, 2, -1) normal to.…

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Q: Find an equation of the sphere with center (1, -8, 3) and radius 5. (x – r- 1)² + (y + 8)² + (z –…

A: Given: Center of the sphere (1, -8, 3) and radius of the sphere is 5. To describe: The intersection…

Q: plane

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Q: Determine the parametric equations of the curve of intersection of the ellipsoid 4x² + y² + 4z² = 4…

A: SOLUTION:

Q: 2. Find an equation of the sphere that passes through the point (2, 3, –1) and has center (-3, –1, –…

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Q: In each part, find an equation of the sphere with center (1, – 7, –8) and satisfying the given…

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Q: Find the equation of the sphere with center at (-3, 2, 4)and of radius 6. A (x-3)2+ (y – 2) ²+ (z-…

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Q: 9. Write the equation of the quadric surface in standard form then identify the quadric surface…

A: The standard form of quadric surface : Ax2+By2+Cz2+Dxy+Exz+Fyz+Gx+Hy+Iz+J=0…

Q: Q1. Find the equation of sphere with center (1, 2,-1) passing through the point (-1, 2, 1).

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Q: Find parametric equations for the intersection of the surfaces y = x² and 2x² + y² + 6z² = 24 and…

A: Find out the parametric equations for the intersection of the surfaces y=x2 and 2x2+y2+6z2=24…

Q: Q2: A cube of edge 24mm is resting on the top of a frustum of cone of base diameter 60mm and top…

A: We are asked to draw the isometric view of the solid.

Q: 5. Find an equation of the sphere with center (4, −8, 4) and radius 5. Use an equation to describe…

A: The equation of a sphere is given by the equation: where a,b,c are the coordinates of the center…

Q: Find the sphere's center and radius. 9x2 + 9y? + 9z2 – 18x + 54y + 74 = 0 center (x, y, z) radius

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Q: Find an equation of the sphere with center (2,-3,6) that touches the xy-plane.

A:

Q: Find an equation of the sphere with center (1, –8, 3) and radius 5. Use an equation to describe its…

A: Given, The center of a sphere is (1,-8, 3) and the radius is 5.

Q: Find the parametric and symmetric equation for the satisfying the given condition. 1. Through the…

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Q: 6) Find the distance between the point (1, -4, -3) and the plane 2x – 3y + 6z = - 1.

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Q: Find the center and radii of the sphere 3x2 + 3y2 + 3z2 + 2y – 2z – 6 =3

A: As a first step, let's recall the standard equation for a sphere:The standard form of the equation…

Q: What is the length in units of the transverse axis of the hyperbola y^2/25 - x^2/64=1? 5 units 8…

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Q: What is the equation of the sphere when it's centered at P tangent to the plane The line went…

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Q: A line with parametric equations x = 10 + 2s, y = 5 + s, z = 2, seR, intersects a sphere with the…

A: The solution of given problem as follows :

Q: (r – 1)? + (y + 2)² + (z – 1)² = 49

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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 a parametrization for the line perpendicular to (4,-1,1), parallel to the plane 4x+y-8z=1, and…

A: The parallel line through the point has the vector equation L = < 1,0,5 > + t < a, b, c…

Q: Find an equation of the sphere with center (1, -11, 8) and radius 10. Use an equation to describe…

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Q: In each part, find an equation of the sphere with center (5, –8, –4) and satisfying the given…

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Q: Find the equation of the xy-trace of the sphere. (x + 2)2 + (y + 1)2 + (z − 3)2 = 25

A: The equation of the sphere: - The general equation of a sphere is (x – a)2+(y-b)2+(z-c)2=r2 if (a,…

Q: Find an equation of the sphere with center (3, −9, 4) and radius 5. Use an equation to describe its…

A: Equation of a sphere with the center (x0, y0, z0) and having a radius r is given by:…

Q: 2 Find the point on the sphere x² + y² + z² = 16 farthest from the point (-1,-1,1). The point is…

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Q: Find an equation of the plane. The plane through the point  (5, −5, −2)  and parallel to the plane…

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Q: Find parametric equations for the line formed by the intersection of planes x+y-z=3 and 3x-y+3z=5.

A: First we find a point on the intersection of these planes with the plane z=0. And next find the…

Q: Find an equation of the plane. The plane through the point (7, −2, −7) and parallel to the plane 9x…

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Q: A line with parametric equations r = 10 + 2s, y = 5 + 5,2 = 2, sER, intersects a sphere with the…

A:

Q: a sphere has center (5,7,7) and is tangent to the yz coordinate plane. write an equation for the…

A: Center of sphere is And is tangent to yz plane

Q: find the equation of a sphere passing through the point(1,-3,4),(1,-5,2),(1,-3,0) and having on the…

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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.