• Which of the following equations has a graph of a sphere? a. x2 + y? + 2² +x + y+ z + 3 = 0 b. x? + y? + 22 +x +y + z = 1 c. x? + y? + 22 – x - y – z + v2 = 0 d. x? + y? + 22 - x + y – 2z + 2 = 0 O a. O b. С. d.

Q: Write an equation of a circle with diameter AB. А(7,7), В(13,13) Choose the correct answer below. O…

A: using  formula for mid point & equation of circle

Q: For what values of the constants k and c does the line x- 3 ** =- lie in the plane x - y + 2z = c? O…

A: Given equation of   line  ;   x-32=y-2k=z+14plane;  x-y+2z=c key points 1)  given line lies in the…

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: Exercises Find the center and radius of each circle. 1. x2+ y? = 25 2. (x- 1)2+ (y + 1)2 = 49 3. (x+…

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…

Q: 1. x2 + y? + 5y = 19 2. x2 + 6x + y2 = 7 4. x2 + y2 + 16x - 12y = -7 %3D 3. x2 -8x + y2 +9y 20 %3D

A: General equation of circle is x-h2 +y-k2 =r2 where ( h, k ) is the coordinate of centre of circle…

Q: For STEP Only Solve the following problems. 1. Show that A PUJ with vertices P (-3, -1), U (2,1),…

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Q: Which of the following surfaces is the graph of 6x + 3y + 4z = 12 in the first octant? 1. 2.

A: Given:- Equation of plane. 6x+3y+4z=12   To find:- Graph of given plane in first octant

Q: Find the general form of the circle with the center (2, -1) and the radius of 3 units.   A) (x -…

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Q: Which of the following is the equation of a circle with center (a, −b) and radius r?…

A: Equation of circle having centre (m,n) and radius p is: (x-m)2+(y-n)2=p2

Q: 16. The equation of the circle passing through the point (2, 7) with centre at (1, 3) is A. (x – 2)²…

A: NOTE: Hi! Thank you for your question. As per the honor code in the time of multiple questions we…

Q: Which of the following equations describes all points that are 6 unlts away from th point (-2, 4)? A…

A: Given: 6 units away from the point (-2, 4)

Q: Which of the following point is the closest point on the sphere a? + y? +2? = 4 from the point…

A: In this question we have to find the point that is closest point on the sphere.

Q: For what values of the constants k and c does the line x- 3 _ y-2 z+1 * = = 2 lie in the plane x - y…

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Q: 7 Find the coordinates of the points of intersection of each of the following pairs of circles. x'…

A: Since you have asked multiple questions in single request so we will be answering only first…

Q: 2. Write the equation of the following circle ingeneral form and standard form. Show your work. (-4,…

A: Given query is to find the equation of the circle in stany and general form.

Q: Find the center and radius of each circle. 1. x2+y2 25 2. (x- 1)2+ (y+ 1)2 = 49 3. (x+ 2)2 + y2 = 36…

A: The general equation of a circle is (x-h)2+(y-k)2=r2,  Where h= x-coordinate of the center of circle…

Q: 5. Determine the value(s) of k such that the circle x² + (y – 6)² = 36 and the parabola r? = 4ky…

A: we have to find the value of k. the solution is following.

Q: Complete the square to write the following equation in the standard form for a sphere. x²+y²…

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Q: What are the coordinates of the vertices of AA'B'C' after a reflection across a line through point P…

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Q: Which of the following correctly depicts the sphere given by the equation: x2 + (y - 2)2 + (z - 2)2…

A: Given: x2 + (y - 2)2 + (z - 2)2 = 4

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: Which of the following equations describes a circle with radius 10 that passes through the origin…

A: Given : Equations of circle : A) (x - 5)2 + (y + 5)2 = 10 B) (x - 5)2 + (y + 5)2 = 100 C) (x -…

Q: Complete the derivation of the standard form of the equation of a circle with center (h, k). (x, y)…

A: To complete the derivation

Q: Which of the following equations describes a circle on a coordinate plane with a radius of 8 units?…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Q4) Find the intersection of the line x = and the sphere x? + (y – 3)² + (z – 2)² = 4. A) (1,1,0) B)…

A: 1. In analytic geometry, a line and a sphere can intersect in three ways: No intersection at all…

Q: What is the equation of the circle n the ry-plane that has center (4,-5) and that passes through the…

A: Option 4 is correct.

Q: Apply T (x, y) = (2x/3,2y/3) to the following pentagons: (a) vertices (3,-3), (3, 3), (0, 6), (–3,…

A: Now in T(x,y)=(2x/3,2y/3)=(x/1.5 ,y/1.5) so by apply T(x,y) we are expecting that our pentagons area…

Q: -10 T -5 5 • 10 0 -10 C ✓ 10 Given the three points of the trapezoid TRAP, determine the 4th point…

A: A quadrilateral has four sides. If only two of those sides are parallel, then it is called as a…

Q: Show that the equation represents a sphere, and find its center and radius: x^2+y^2+ z^2-8x + 6y +…

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Q: 2. Evaluate -2d: ez dz if c is a circle. 2ni C z-2 a) circle Iz| = 1 b) circle |z| = 3 %3D

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Q: Given the following equation of a circle: x² + y² +8x– 2y–8 =0

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Q: Which of the following point is the closest point on the sphere z +y² + z? = 4 from the point…

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Q: 18. Which of the following is the equation of a circle whose center is at (0, 10) and radius is v2…

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Q: Find an equation of the sphere that passes through the origin and whose center is (-6, – 4, 12). OA.…

A:

Q: Which of the following point is the farthest point on the sphere a? + y² + z? = 4 from the point…

A: The equation of sphere is given as, From the equation it is clear that the sphere has its center at…

Q: 3. Graph the circle a) (x – 3)2 + (y + 2)² = 16 b) x² + (y – 1)² = 4 c) (x + 8)² + (y – 1)² = 9 d)…

A: Follow next step

Q: Find the largest and smallest distances between the point P(1, 1, 1) and the sphere x² + y? + z? –…

A: Given circle is x2+y2+z2-2y+6z-6=0, and P(1, 1, 1) Let C be the center of the circle.…

Q: ind an equation of the line of intersection of the following two plane x + y + z = 0 nd 2я — у + 32…

A: We have to find out

Q: Which of the following point is the farthest point on the sphere z? + y² + z² = 4 from the point…

A:

Q: 2. Which of the following sets of coordinates represents a square that is congruent to the one…

A: Two squares have congruent when their sides are equal.

Q: Find the standard equation of a sphere that has diameter with the end points given below. (3, 8,…

A: to find standard equation of sphere that has diameter with end points 3,8,-2,-1,4,10

Q: A. Determine the center and radius of the following circles. 1. (x - 4)2 + y + 8)? = 100 2. (x + 1)²…

A: I have answered first three subparts as per the guidelines.

Q: Which of the following represents the radius of the sphere whose equation is x² + 8x +y2 – 16y +z² –…

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Q: The center of a circle is at (6, -7) and the diameter of the circle is 22. Which of the following is…

A: Given data, Co-ordinates of center of the circle = ( 6, -7 ). Diameter of circle, d = 22 units.…

Q: Find an equation for the sphere centered at (1, -2, 3) containing the origin. V14 = x + y+ z 14 = x?…

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Q: Match the quadric surfaces to its graph. A. y? + 22 = 4 + 4x? C. 9x? + 4y? = 36 + 36z2 B. 4x2 + y? +…

A: This is a problem related to the curve plotting in the 3 dimensions. Based on the available concepts…

Q: Find the intersection of the line x = = and the sphere x? + (y – 3)² + (z – 2)² = 4. A) (1,1,0) B)…

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Q: 13–16 Show that the equation represents a sphere, and find its center and radius. 13. х2 + у? + z? —…

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Q: What does the following equation represent in R? 7x - 6y = 0 Circle Line Plane None of the others…

A: Topic:- geometry