Find the equation of sphere having its centre on the line 2x - 3y = 0 = 5y + 2z and passing through the points (0, -2, -4) and (2, -1, -1). %3D %3D

Q: Find an equation of the sphere that passes through the origin and whose center is (4, 3, 4). X

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Q: Consider the paraboloid given by the equation z = x^2 + y^2. Find the coordinates of the vertex and…

A: A paraboloid is a quadric surface that has exactly one axis of symmetry and no center. The given…

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

A: Given Data: The centre of the sphere is: C(h, j, l)=C(2, 5, -3) The point at the edge of the sphere…

Q: Find the equation of the hyperbola with vertices (-2,5) and (-2, 1) and foci (-2, 12) and (-2,-6).…

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Q: put the equation in standard form then find the center, major and minor vertices, foci and…

A: To Determine: Put the equation in standard form then find the center, major and minor vertices,…

Q: Determine the equation of the hyperbola of focuses (1,-1) and (1,3) and one of the vertices (1,2).

A: If we plot the focuses and the given vertices we get that the equation of the line passing through…

Q: Find an equation for the hyperbola whose transverse axis is horizontal, with center at (1, -5) and…

A: Given problem:- Find an equation for the hyperbola whose transverse axis is horizontal, with center…

Q: Find the points of intersection between the line 4y - 3x + 12 = 0 and the ellipse 9x 2 + 16y 2 =…

A: The line 4y-3x+12=0 And the Ellipse 9x2+16y2=144 We need to find the intersection point of the line…

Q: Write the equation of the hyperbola 9z²- form Where: h = 4 k= 1 a-9 b= -72 (z-h)² a² S q X X X…

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -3, 4) Radius:…

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