Find the center and radius of the spher (x+ 9)? +y? + (z- 9)? = 24

Q: Show that the equation represents a sphere, and find its center and radius: x? + y? + z2 – 2x – 4y +…

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Q: What is the length of the minor axis of the ellipse 4x² + 32x + y² – 4y + 52 = 0? 0 4/3 0 4 0 8 O 45

A: Topic = Ellipse

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

A: The general equation of the sphere is given as x-x02+y-y02+z-z02=r2. Here, the center of the sphere…

Q: Find the center and the radius of the sphere x + y² += - 4x+ y-6z+13=0 Center: Radius:

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

A: Given: 2x2+2y2-28x+12y+114 = 0

Q: The graphs of the conics intersect at two points. x² + y? = 9 = 1 4 What are the coordinates of…

A: To find the points of intersection ,first we find y2 from the two given equations and by  equating…

Q: Find the center and the radius of circle. x2+y2-8x+6y+21=0

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Q: ngent to the y axis and the center is

A: To determine the circle of equation tangent to y axis and center (5,8)

Q: a) Find the center of the sphere satisfying the equation, x2 + y2 + z2 - 2x + 4y + 2z = 10.…

A: The given equation of sphere,   x2+y2+z2-2x+4y+2z=10

Q: 3x + 3y? – 12x 30y – 60 = 0 is the equation of a circle with center (h, k) and radius r for: | h =…

A: See the details solution below

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

A: Comparing with standard equations of sphere,

Q: Find the center and the radius of the sphe- x2 +y? +z? + 6x – 4z = 0

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Q: 3 r +6 -을V16-(y-2)2

A: Topic - conics

Q: The figure shows a lamp located three units to the right of the y-axis and a shadow created by the…

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Q: Find the point(s) on the hyperbola x^2 - y^2 = 2 closest to the point (0, 1).

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Q: The figure shows a lamp located three units to the right ofthe y-axis and a shadow created by the…

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Q: 2 Write the equation of the hyperbola – 25 · x? + 16 · y² = 400 in standard form + = 1 %3D

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Q: Write the equation 5x2+10y-z=5 in cylindrical coordinates.

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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: What is the equation of the line tangent to the hyperbola = 1 at the point (V2a, b)? y = -a+b 26 V26…

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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: 4. What is the equation of a circle with radius 3 and center (3, 0)? A. x2 + y2 – 6x = 0 B. x2 + y?…

A: equation of the circle with radius 3 and center (3, 0) :(x-3)2+(y-0)2 = 32

Q: 3a? + 3y? – 30æ – 18y – 6 = 0 is the equation of a circle with center (h, k) and radius r for: %3D…

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Q: Match the ellipsoids shown in the table with the equations. Answer Bank x2 + 2y2 + 2z² = 4 2x2 + 2y?…

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Q: Given (x - 20)² + (y - 0.05)? = 81 %3D What is the center of circle? What is radius? r=

A: We have to find center and radius

Q: |xy dA, D is enclosed by the quarter-circle 20. y - 1 - x² , x > 0, and the axes

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Q: 3) Complete the square on the circle 2.a2 + 2y? + 44.x + 28y = 52 to write it in standard form. Then…

A: Standard form of circle is given by,  (x-h)² + (y-k)² = a² , where (h, k) is the center of the…

Q: Find the equation of the sphere of radius 3 centered at (2, 3, 9). Ox? + y? + z? = 9 Ox² + y? +z? =…

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Q: 2x2 + 2y? + 16x + 16y – 34 = 0 is the equation of a circle with center (h, k) and radius r for: -

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Q: Find the center C and the radius a for the spheres (x + 2)2 + y2 + (z - 2)2 = 8

A: We have to find the center C and radius for the given sphere equation: x-22+y2+z-22=8 We know that…

Q: Write the equations in cylindrical coordinates. (a) 7x2 - 8x + 7y2 + z2 = 7 (b) z = 2x2 - 2y²

A: The cylindrical coordinate is r, θ, z.

Q: Find the coordinates of the four points at which the hyperboloid of one sheet given by x2 y? + 16 z?…

A: This question is related to 3D coordinate geometry, We will solve it using given information.

Q: Find the point (x, y) on the ellipse, 4(x - 1)^2+ y^2 = 1, that is farthest to the origin (0, 0).

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Q: 3a? + 3y? – 18z – 24y + 48 = 0 is the equation of a circle with center (h, k) and radius r for: h…

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Q: Transform the general to standard form, determine the center, and its radius. Equation: x + y + 2x +…

A: The equation of the circle is given by x2+y2+2x+2y-7 = 0 To evaluate: The equation in standard form,…

Q: What is the area of the ellipse x² 16 + y² 9 = 1?

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Q: In a right spherical triangle ABC, B=90°. Using Napier’s first rule, what is the simplified form of…

A: There are two Napier's rules that are used to solve the right spherical triangles.

Q: The device is a parabolic dish with a sound booster at its focus. The device is 6ft across and 20…

A: This question is based on parabolic equation.

Q: Which conic section is represented by the equation 2x2 + 4x - y+9= 0?

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Q: Find apolar equation for the circle x² + (y - 3)? = 9. 2

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Q: The equation of the sphere with center (7,-10, 1) that touches that y-axis is

A: To find the equation of the sphere we need center of the sphere  radius of the sphere.  Here given…

Q: What is the distance between the center of the two circles whose equation is r +y + 6x + 10y – 12 =…

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

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Q: Q1/ Find the standard equation of circle if a diameter has end points (2,0) & (0, 2 ).

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Q: 9. Find the center and radius of the circle z? + y? -2r+ 8y-1=0

A: We first write the given equation in standard form.…

Q: Enter the equation of the clrcle with the glven center and radlus. Center: (6, 0); radius: /7 The…

A: The equation of the circle with center (h,k) and radius r is   (x-h)²+(y-k)²=r²

Q: Which conic section is represented by the equation 9x2+4y2=36

A: Simple conic section problem......