The sphere x² + y² +z² = 100 has the center (0,0,0) and a radius of length 50. Select one: True False

Q: find the center and the radius of the circle  a)x^2 +(y+2)^2 =16   b) 2x^2+2y^2-4x+8y-14=0

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Q: 9 The boundary of the plane figure below consists of three semicircles. each placed on a side of…

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Q: The intersection of the sphere (x-3)^2 + (x+2)^2 + (z-1)^2 = 49 with each of the coordinate planes…

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Q: Write a paragraph explaining how the distance formula giving the distance between two points (x1,…

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Q: 5. Find the equation for the sphere whose center is at (-1, 1/12-13) and radius is

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Q: If you project a square onto a plane, what shape do you get?

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Q: ( , s) Let A = (-1,3) and B = (2, 4). Find the set of points C such that the area of triangle ABC is…

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Q: Use the applet to translate quadrilateral ABCD 2 units left to create quadrilateral A'B'C'D', then…

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Q: A. Find the Center and Radius of a circle by completing the Square. 1) 6x² + 6y² + 36x - 48y = 0 2)…

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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 points on the cone 22 = x2 + y? that are closest to the point (1,3,0)

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Q: In Cartesian space, the point (0,6,0) lies 6 units above the origin. Select one: True False

A: We have to find the point location

Q: Is a triange with the verticies A(7,1) B(0,4) and C(-4,-8) a right triangle yes or no?

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Q: 6) Consider the three points in the plane given by their coordinates: A = (0,0) B=(2,2) C=(3,5).…

A: I have explained everything with in the solution. Please go through that

Q: Sketch the following points in space three, A (4,5,3); B (1,7,4) and C (2,4,6). Prove that point A,…

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Q: What are the elements of Euclidean and Non-Euclidean Geometry?

A: Solution

Q: The midpoint of v(2,10,14) is

A: Midpoint is found between 2 given coordinates.

Q: Find the image of the circle Iz| = 3 under the stereographic projection in the sphere.

A: We let G be a sphere in Euclidean three space. We want to obtain a picture of the sphere on a flat…

Q: Calculate 5z $c C (z2-z-2) (z²+i8z-16) where C is the circle a) |z|=1 b) |z|=3 c) |z|=4 dz

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Q: b) Find the intersection point of the line Lix-1.y-3+t, z4+2t with xz-plane.

A: Here we have given equation of line and we have to find the point of intersection of given line with…

Q: 5. Of any 7 points chosen within a regular hexagon whose sides have length 1, show that two are…

A: The Pigeonhole Principal : If n+1 objects are placed into n boxes, then some box contains at least 2…

Q: Drive the frenet frame ,curvature and torsion of binomial indicatrix of hypocycloid

A: We need to Derive the frenet frame, curvature and torsion of binomial indicatrix of hypocycloid

Q: 50

A: Here given graph as Use the basic property of the rhombus 1.  The opposite angles of a rhombus are…