ACTIVITY 2: FIind the center and the radius of the circle with equation: 5. (x – 1)2 + (y - 5)2 = 9 6. (x + 2)2 + Gy + 6)2 = 81 7. (x+4)2 + y² = 17 8. x2 + y2 -6x- 4y+ 12 = 0 9. x2 +y2 - 2x + 10y +1 = 0 10. x2 + y2 - 6y - 4 = 0

Q: 4. What is the equation of a circle with center (2, 4) and radius 5? F. (x – 2)2 + (y – 4)2 %3D - -…

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Q: Find the equation in rectangular coordinates of the quadric surfaceconsisting of the two cones φ =…

A: The relation between spherical and rectangular coordinates in polar form is given by the following…

Q: Find the equation of the circle whose centre is at the point (1, -1) and which passes through the…

A: Given : circle whose center is at the point 1, -1 which passes through the point 4, 3 To find :…

Q: A flashlight is shaped like a paraboloid and the light source is placed at the focus so that the…

A: Given the flashlight is shaped like a paraboloid and the light source is placed at the focus so that…

Q: 7) Determine the shape of the I point parabola with focus F(2,5/2) and directrix line y=7/2. *

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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: 3 2 -6 -5 -4 -3 -2 -1 1 2 3 4 5 -2 -3 -4 -5 -6 Find the equation of the circle (x + 2)² + (y – 1)² =…

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Q: Determine the equation of the parabola with the directrix z = 3 and focus (0, 7). O y = 8 (z – 5) O…

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Q: 13) What are the coordinates of the center and length of the radius of the circle whose equation is…

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Q: 5) What is an equation of the circle whose center is (1,3) and whose radius is 2? A) (x+1)2 + (y+…

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Q: 4. The equation of a circle is (x- 3)+y = 8. The coordinates of its center and the length of its…

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Q: A circle has an equation of y2 + 10y + (x − 2)2 = −9. Determine its general form, center and radius.

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Q: Write the equation of the circle in general form that will satisfy the given condition. 5. Center…

A: Equation of a circle whose center is (h, k) and radius is r is, x-h2+y-k2=r2       ...(1)

Q: Write the equation of the circle in general form that will satisfy the given condition. 6. Center…

A: The centre of the circle is given as 54,-14. The radius of the circle is given 43 The general…

Q: The graph of x2+y2+z2-14y=0 is a sphere. what are the center and radius of the sphere?

A: Given    Equation of sphere  x2+y2+z2-14y=0To calculate:-     Center  and  radius  of the sphere.

Q: Activity 2 Classify the graph of the equation as circle, a parabola, an ellipse, or a hyper Show…

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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: How are the conics described in terms of a fixed point and a fixed line?

A: We need to describe the definition of conics in terms of a fixed point and fixed line.

Q: By differentiating implicitly, find the slope of the hyperboloid x² + y? - z2 = 1 in the x-direction…

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Q: What is the equation of a parabola that intersects the x-axis at points (-1, 0) and (3, 0)?   A. y…

A: Given that: A parabola intersects x-axis at (-1, 0) and (3, 0)

Q: 2. x = --(y+ 4)² + 5 y Vertex: Opens: Focus: Directrix:

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Q: A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one…

A: Given a cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of…

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: 3z + 3y-18z - 12y + 36 = 0 is the equation of a circle with center (h, k) and radius r for: %3D and…

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

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Q: Chose the equation of the circle with these properties: Center; (-2, 1) and the circle passes…

A: We know that, The equation for a circle is given by, (x-a)²+(y-b)²= r² Where (a,b) is the centre of…

Q: Complete the equation for the circle with center (6, 2) and radius 8. Choose... O 2 +( Choose.. O2-…

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Q: How did he get the value inside the circle Given, 2 = xay2 and x-y+22=2 >2 = 1- - ellipse fox n is…

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Q: Find the points on the ellipse 3x2 + y2 = 3 that are farthest away from the point (1, 0). What I…

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Q: (3) Find the coordinates of the points of intersection of the parabola y = x2 - ax and the line y =…

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Q: Write the equation of a circle with a center at (2, -3) and a radius of 4. ( x - 2) 2 + ( y + 3) 2…

A: To write the equation of a circle with a center at (2, -3) and a radius of 4.

Q: The length of the major axis of the cllipse with center (-4, 1), minor axis parallel to the y-axis…

A: Equation of ellipse with center (-4,1) is given by

Q: If tangent lines to the hyperbola 9x2 − y2 = 36 intersect the y-axis at the point (0, 6), find the…

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Q: Entong is standing on a location with coordinates ( 5,3) on a cirde, while Senyang is at ( 1,1) who…

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Q: Find the midpoint of each line segment whose end points are (-4,-4) and (10,2). (-3,-1) (3,-1)…

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Q: 8) What is an equation of the circle whose center is (3,-2) and whose radius is 5? A) (x+ 3)² + (y -…

A: General equation of Circle :  (x - h)2  + (y - k)2  = r2    Center:  C( h , k)   Radius : r

Q: 4. The equation of a circle is x2 + 14x + y2 -2y 14. What are the coordinates of the center and…

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Q: What is the standard equation of a circle with radius 7 and is concentric (same center) with the…

A: Given:- x2 + y2  +2x-4y=5 To find:- Equation of circle concentric with given circle and radius 7

Q: B. Find the intersection points of the circle with center (2, 2) and radius 2√2 and the line that…

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Q: What is the equation of the circle with the given parameters? Center: (13, -13) Radius: 4 O (r +13)?…

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Q: Find center and radius of a circle. x^2- 12x + y^2 + 8y - 24 = 0

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Q: Identify and sketch manually the graph of the quadric surface 25x² -25y² -9z²-150x + 200 = 0.

A: Solution :-

Q: By differentiating implicitly, find the slope of the hyperboloid 22 + y? – 22 = 1 in the x-direction…

A: We have to find slope of the hyperboloid x2+y2-z2=1 in the x-direction at the points (a) 1,2,2 (b)…

Q: 17) Write the equation of a circle with a center at (7,3) that contains the point (-5,8). A)…

A: The answer is found in step-2.

Q: Show your soluions Change this general form into standard equation and find its center of the circle…

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Q: Find the center and radius of the circle x2 + y2 + 4x = -2y +11. Sketch the circle. %3D ....-

A: Convert the equation of circle into standard form: (x-h)^2 + (y-k)^2 = r^2

Q: What are the center and radius of the circle given by x2 + y2 16x + 8y + 4 = 0? O (-8, 4); 4 O (8,…

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Q: Find the angle of intersection of the parabola y^2=2x and the circle x^2 +y^2=8.

A: Given: Parabola is y2=2x and, Circle is x2+y2=8 Now to find the point of intersection between the…

Q: A bridge is to be built in the shape of a semi-elliptical arch and is to have a span of 260 meters.…

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