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

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Q: Describe the yz-intercept of the sphere with the equation x2 + y2+z2 - 2x+ 10z +5 = 0

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A: Given the equation of the sphere 8x+4z=1-2x2+20y-2y2-2z2

Q: 5. Show that the equation represents a sphere, and find its center and radius: x²+y? + z2 – 8x – 10y…

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Q: 18 What is the equation of a circle with radius 3 and center (3,0)? A x² +y? – 6x = 0 B. x? +y? + 6x…

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Q: Find the standard equation of the sphere with the given characteristics. Endpoints of a diameter:…

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Q: 1. Find the center and radius of the given equation of the sphere. x + y +z´ - 4x+ 6z+12=0

A: Given: The equation of sphere is x2+y2+z2-4x+6z+12=0.

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Q: Find the center and the radius of the sphere. x2 +y? +z? +5x + 6z = 0

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Q: Find the center and the radius of the sphere. x2+y2+z2+4x-5z=0

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Q: Find the radius and center of each sphere. [Hint: Complete the square in each variable.] x2 + y2 +…

A: Find the radius and center of each sphere. [Hint: Complete the square in each variable.] x2 + y2 +…

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A: Given: An equation of the hyperbola, y+129-x-224=1.

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Q: How many points of intersection are there between the graphs of the hyperbola and ellipse? Зx2 — 4у?…

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Q: Find the center and the radius of the sphere. x2+y2+z2-3x-6z=0

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Q: 16. 3x² + 3y? + 3z² = 10 + 6y + 12z

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Q: c) Find the center and radius of the sphere whose equation is x² + y² + z² + 10x + 4y + 2z – 19 = 0

A:

Q: Show that the equation represents a sphere, and find its center and radius: x²+y² + z² – 8x + 6y +…

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A: Let the coordinates of centre of sphere be a, b, c and radius be r.

Q: Complete the square to write the equation of the sphere in standard form. x2 + y2 + z2 + 5x - 2y +…

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Q: 3. Find the center and radius of the sphere having the equation: x²-4x+y² +8y+z² – 2z=4

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Q: Find the equations for the spheres whose center is (7, -1, 5) and radius is 2.

A: To find: The equation of sphere whose centre and radius given. Given: The centre of sphere is 7,-1,5…

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Q: Find the center and radius of the sphere (3x^2)+(3y^2)+(3z^2)-(6y)-(12z)-10=0

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Q: Complete the square to write the equation of the sphere in standard form. x2 + y2 + z2 + 9x - 2y +…

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Q: ow that, the equation 3x -y + 5x – 2 = 0 repr ngent at the vertex, directrix, latus rectum, len…

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Q: Find the radius and centre of the sphere x + y + – 4x + 2y-6z-11=0.

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Q: Determine the equation for the sphere whose center and radius are given. Center Radius V13 (1,3,1)

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Q: Write the sphere equation x^2 + y^2 + z^2 + 2x - 2y -2z = 33 in standard form, and hence find the…

A: x2 + y2 + z2 + 2x -2y - 2z = 33To Find: The center and the radius of the sphere.

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

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Q: The surface of equation – +- 1 is: 16 A sphere O A cone O An ellipsoid || + 이닙

A: We can explain it as below using the concept of three dimensional geometry.

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Q: The equation x +4y² = 4 in three-dimensional space is an equation of which surface? O Ellipse O…

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