Consider the points A (5,-2,8) and B(-1,4,6). a) Find the equation of a sphere that has AB as a diameter

Q: AB has endpoints A(- 3, 2) and B(3, – 2). Find the coordinates of the midpoint of AB. Find AB to the…

A: Given; A(-3,2) & B(3,-2)

Q: ABC has vertices A=(−4,−4,0), B=(−2,−1,x), and C=(−9,−8,4). Find the value for x which yields a…

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Q: The Coordinates of a triangle ABC are A(0,0), B(a, a) and C (-b, b). Work out the equation of the…

A: Solving the problem

Q: A) Find the area of the triangle with vertices A (1, -1, -1), B (1, 1, -2) and C (0, -2, -3). B)…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find all values of x so that the triangle with vertices A=(x,3,-5), B=(-6,1,-7) and C=(-5,2,-2) has…

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Q: 5/1f the three points A ( are collinear then

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Q: Draw two triangles ABC and A'B'C' on different planes such that the two triangles are perspective…

A: We need to draw two triangles such that the two triangles are perspective from a line and from a…

Q: B- Vertices of a triangle are, A(-1, 0, 1), B(3, -2, 0) and C(4, 1, -2). Find 1- Area of Triangle 2-…

A: A detailed solution is given below.

Q: A camera is located at the point (2, 4). The camera can rotate 360 degrees so can see in However,…

A: (a) To determine if the point (4.5,3) is inside the triangle with corners at (3,1), (4,5), and…

Q: By calculating the lengths of its sides, show that the triangle with vertices at the points A(1, 2),…

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Q: A glass sphere given by the equation (x-1)²+(y-2)²+(-3)² = 36 is floating above the plane 2x + y -…

A: The given problem is to find the point on given sphere is farthest from the given plane. Given…

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: (2, 3.5)

A: Here, the given function is,

Q: A triangle has vertices P(1,1) Q(-2,-2) R(3,-2). Algebraically determine the type of triangle given…

A: Given :           A triangle has vertices P(1, 1), Q(-2, -2) and R(3, -2)   To determine the type…

Q: Two points 0(0, 0) and A(3, √√3) with another point P form equilateral triangle. Find the…

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Q: The coordinates of the vertices of a triangle are G(-4, 2), O(5, -1), and T(10, 8). What is the…

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Q: 5) x2 (y - 6 ) 2 64 121 + - = 1

A: we will find the required.

Q: 2) 4x² + 4y² - 16x - 24y + 51 = 0

A: To find out the center and radius of the given circle by the help of completing square method.

Q: Show that a right triangle is formed by points ?(3,1,-1), ?(5,3,6), and ?(3,-5,0). If it does not…

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Q: 1) Find the area of a Q(-2,-4,1) & R(3, 6, 6). triangle PQR, with vertics P(-2,-6,-

A: To solve the following