Find the radius of the circle x2 + y2 - 6x + 4y – 36 = 0.

Q: Calculate (2 + x²y) ds where C is the upper half of the circle x² + y? = 1 (y>0) -1

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Q: Which among the circles has radius 5 units? (x- 3)2 + (y – 4) = 25 %3D (x- 3) +y-4)² = 5 (x-4) +…

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Q: x^2 / 4 + y^2 / 9 = 1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Given the equation of the circle x+y-4x- 10y + 4 0, find its center and radius. O C-2, 5), r = 25 O…

A: To find the center and radius of the given equation of the circle.x2+y2-4x-10y+4=0

Q: find the center and the length of a radius of each circle. x2 + y2 - 10x + 2y + 1 = 0

A: Consider the given equation x2+y2-10x+2y+1=0. Note that, for equation of circle x2+y2+2gx+2fy+c=0,…

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

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Q: Evaluate . (x² +y) dS where C is given as the part of the circle x? + y² = 9 between the points %3D…

A: given integral ∫Cx2+ydS where C is given as the part of the circle x2+y2=9 between the points 3,0…

Q: Find the center C(h,k) and radius (a) :of the circle 9. x² + y² – 4x 4 0 =

A: Write in standard form

Q: Find the center and radius of the circle x2 + y2 = 6y + 16.

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Q: Find the equation of the circle with diameter AB if A(-3,2) and B(1,4). A x² + y² - 2x + 6y-31 = 0 B…

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

Q: 9. Find the center of the circle whose equation is x2 + y- 16x + 14y+ 104 = 0 O (7, – 10) O (4, – 4)…

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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: Show the complete solutions. Family of circles centered at the line y = 2x. Ans: y" (y-2x) + 2(y')³…

A: To find out the differential equation for the family of circles having centre on the line y=2x.

Q: 10. Find the center and radius of the circle whose equation is x² + 5x + y² – 6y + 12 = 0. A.…

A: To find The center and radius of the circle.

Q: Photo #1: Question Photo #2: Answer Key

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Q: Find the standard form for the equ of a circle (xh)² + (y - k)² = 7² with a diameter that has…

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Q: Find the exact center and radius of the circle: x^2 -10x + y^2 +6y +21 = 0

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Q: Show the complete solutions. Family of circles centered at the line y = 2x. Ans: y" (y-2x) + 2(y')³…

A: Given problem:- Differential equation of family of circles centerd at the line y=2x

Q: Find the extreme values of ƒ(x, y) = xy on the circle x2 + y2 = 1

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Q: Find the equation of the circle with center at the origin and radius v11 * X^2+y^2=v11 X^2+y^2= 11 O…

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Q: Find an equation of the circle that has center C(3, -2) and is tangent to the line y = 5.

A: We have, the center of the circle as C3,-2. Also line y=5 is tangent to the circle. As we know that,…

Q: If one end of the diamtere of the circle x2+y2-5x-8y+13=0 is (2,7) .then find the other end of the…

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Q: The radius of the circle x2+y2=9 is 3.

A: Consider the given circle as x2+y2=9

Q: Find the length of the chord intercepted by the circle x2+y2+3y-22=0 on the line y=x-3

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Q: Find the standard form for the equation of a circle (2 – h)' + (y – k) = r² with a diameter that has…

A: To find the standard form for the equation of circle  Given the diameter that has endpoints (-10,…

Q: Identify the center and radius of the circle. x2 + y? – 4x + 10y – 7 = 0 %3D

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Q: 22. Find the center and radius of the circle whose equation is x2 – 24x + 48 = -y² + 10y О С(12, 5),…

A: The solution is given as

Q: ind the equation of the circle that pass through the intersection of the circles x2 +y2 +2x +4y-4=0…

A: Here we have to find the equation of the circle that passes through the intersection of the circles…

Q: Find the center and the length of a radius of the circle x2 + 8x + y2 + 4y - 5 = 0

A: Given the equation x2 + 8x + y2 + 4y - 5 = 0. We need to find the center and the length of a radius…

Q: Find the center and radius of the circle. x2 + y2 - 4x- 16y -6=0

A: On simplification, we get

Q: Find the radius of the circle 2x 2+2y 2=50

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Q: Evaluate (x+ y)ds, where C is the top half of the circle x² + y² = 4, oriented counterclockwise.

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Q: 1. Find the center and radius of the circle x² + y? + 2x – 4y = 4 by completing the square.

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Q: 15. Complete the squares on x- and y-terms of the circle: 4x + 24x + 4y + 36y =0. SLO 12

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Q: Find the center of the circle x² + y² - 8x = 2. Select one: O a. (4,0) O b. (0,4) O c. (0-4) O d.…

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Q: find the center and the length of a radius of each circle. x2 + 10x + y2 + 2y - 38 = 0

A: Given the equation of a circle: x2+10x+y2+2y-38=0

Q: Consider the circle with two intersecting chords. D x+2 x-1 x+5 Solve for x. 1.

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Q: The equation of the circle that is concEntric with the drcle x+2x+ y-8y+14=0 and touches the y-axis,…

A: The equation of the circle with centre at (a,b) and radius r is (x-a)2+(y-b)2=r2

Q: What are the four main end points to the circle x2+y2-10x+8y+25=0 (show work)

A: Question is solved.

Q: 1. Determine the center and the radius of the circle whose equation is given by x² + y² – 6x…

A: We have to find center

Q: Evaluate xy ds, where C is the right half of circle x² + y² = 4 and is traversed in the clockwise…

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Q: find the other end of the diameter of circle x²+y²-8x-8y+27=0if one end of it is (2,3)

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Q: Find the center C(h,k) and radius (a) of the circle 9 4x - 4 .2 x² +y - %D

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Q: Write the equation of the circle. Center at (-7, 11), radius 8 O (+11)² + (y-7)² = 121 O (x + 7)² +…

A: We have to find the equation of the circle which has  centre at   ( -7, 11)  and  radius 8. Now as…

Q: ARST is shown. XU = -4y + 20 and XW = 6y + 10. Find the radius of the inscribed circle of ARST…

A: The inscribed circle is the circle inside the triangle touching all three sides of the triangle.…

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: Find the center and radius of the circle x2+y2-2x-18y+1=0

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Q: 2. Write the equation of the circle with Center (-1, – 8) and Radius : V7 x2 + 2x + y? + 16y + 58 =…

A: Topic-analytic geometry

Q: On which axis does the center of the circle x2 + y2 - 8y + 7 = 0 lie? Defend your answer.

A: We know, the equation of a circle in standard form is given by: (x-h)2+(y-k)2=r2 Where,(h,k) is…