Q3) Find the centers and radius of the spheres in x? + y? + z? + 4x - 4z = 0 x? + y? + z? - 6y + 8z = 0 2r + 2y? + 2z2 + x +y + z 9

Q: Q2 a) { ] Show that the equation 4x - 8y + 12z + 2x² + 2y² + 2z² = −20 represents a sphere, and find…

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Q: Find the distance from the point (0,3,0) to the plane 7x + 4y + 4z = 7. The distance from the point…

A: The Distance between a point to the plane  is given as follows

Q: Find center, foci , vertices, asymptotes and radious of 2x? + 2y² – 28x + 12y + 114 = 0

A: Given: 2x2+2y2-28x+12y+114 = 0

Q: the center-radius of 9x?ー16x+9+9y?t12u=12 the equation Can be obtained by adding both sides of the…

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Q: 2 Find the point on the sphere x²+ y²+z²=4 farthest from the point (1,-1,1)? ans.i- 2 (금) v i

A: Let the point  on the sphere which at largest distance from the point By using distance formula Let…

Q: 15. The equation of circle R is 9y² + 9x² - 27y +36x R and the radius length of the circle. = -36.…

A: We have given equation of the circle is

Q: 11 What are the coordinates of the center and the length of the radius of the circle represented by…

A: Given that a equation circle and we find coordinate of circle center and radius. We know that the…

Q: Determine the coordinates of the center and the value of the ra sphere x2- y2-2- 10x - 6y - 12z --54…

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Q: Show that the given equation represents a sphere and find its center and radius x² + y2 + z? + ax +…

A: The given equation is x2+y2+z2+ax+by+cz+d=0. The general equation of a sphere with center h,k,n and…

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

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Q: -9 = -y²- x2

A: A circle is the locus of points in two-dimensional space which are equidistant from a fixed point.…

Q: Find the point on the sphere x +y +z = 4 farthest from the point (1, – 1,1). The point is ( ID:…

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Q: find the equation of a sphere with the line segment AB as one of its diameters, where A(-3, 2, 1)…

A: We have to find the equation of a sphere with the line segment AB as one of its diameters, where…

Q: Find the point on the sphere x? + y² + z² = 3 farthest from the point (-6, 6, –6). Farthest point is

A: Given equation of the sphere, Given point is (-6, 6, -6). Distance of the point (-6, 6, -6) from…

Q: What is the equation of the sphere whose center is at (0, -3, 8) and with a radius of 5? Select the

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Q: The equations x² + y²+z² - 4z = 0 and x² - 14x + y²+16y+² = -104 represent spheres in three…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: What are the coordinates of the center C; and the measure of the radius r of a circle whose equation…

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Q: 8) Do the points (1,0, -1), (0,2,3), (-2,1,1), and (4,2,3) lie in the same plane?

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Q: Arrange the parabolas represented by the equations according to the positions of their foci on the…

A: The standard form of a parabola is  (x – h)2 = a(y – k) where (h, k) is the vertex.

Q: Entong is standing on a location with coordinates ( 5,3) on a cirde, while Senyang is at ( 1,1) who…

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Q: 2) The diameter of a sphere has endpoints given by points P = equation of the sphere in standard…

A: The diameter of a sphere has endpoints given by points The Equation of sphere whose center and…

Q: c) Find the center and radius of the sphere whose equation is x2 + y? + z? + 10x + 4y + 2z – 19 = 0

A: