Write the standard equation of a circle with the center at (-1, -4) that passes through the point (-1,-1). OA (2+ 1)²+ (y+ 4)2= 3 %3D O B (z - 1)²+ (y - 4)² = 9 %3D O (z- 1)²+ (y - 4)² = 29 %3D (z + 1)2+ (y+ 4)2= 9 D.

Q: Find the equation of a circle whose center is at (4, 1) and tangent to the circle x² + y2 -8x-6y +9…

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Q: Write the equation of a circle with center (11.-17) and that passes through (10. -12 x-117- y + 17 =…

A: Given : Center = 11,-17 The circle is passing through 10,-18

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Q: Find the equation of the circle whose diameter is the points AB. A (-3/4, -3/4), B (3/4, 3/4). x^2…

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Q: Find the equation of the circle that passes through the points (10,2), (9,-3), given that its center…

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Q: Find the equation of the line tangent to the circle x + y + 6x - 2y - 15 = 0 at the point (1,-2).

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Q: Find for the equation of a circle with center at (-1, 4) and passes through the point (3, 2).…

A: Standard equation of a circle with center at A=(−1,4) passing throught the point B =(3,2)   Find…

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Q: 2+y 4x + 2y +1 = 0 is the equation of a circle with center (h, k) and radius r for: h = and k = and…

A: We use completing square method to convert it into standard equation of circle  Standard equation of…

Q: Identify the equation of a circle that passes through (5, 3) and is centered at (8, 7). A. (x-8)2 +…

A: We can find the answer as below.

Q: Determine the equation of the circle whose center is at (4, 5) and tangent to the circle whose…

A: Given that circle center and also given that a  equation and we find circle equation. Here i…

Q: 1. Find the equation of the circle whose center is (1,-1) and which passes through the center of the…

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Q: what is the equation of the circle passing through the (x y) points (0 0) (0 6) and (-6 0)

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Q: What is the equation of the circle passing through the points (2,1), (0,5), and (-1,2)?

A: Solved below

Q: Derive the standard equation of a circle if its general equation is x² + y² - 10x - 6y + 14 = 0.…

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Q: (b) . Find the equation of the circle passing through the points (2,1), (0,5) and (-1,2).

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Q: 2. Find the equation of the circle that passes through (1,-4) and has a center of (3,-2)

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Q: Write the equation of the circle with a center (2, -4) and a radius of 4. (+2)+(y-4) = 16 (* + 2)* +…

A: The equation of circle with  center (a,b) and radius r is given by (x-a)^2 + (y-b)^2=r^2

Q: The equation with the circle for 1-3 is: (x-2)^2 + (y+3)^2 =9

A: The equation of circle x-22+y+32=9

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A: We have to find the equation of circle whose center is the point of intersection of lines x+3y+3=0…

Q: Find the points of intersection between the line x + y - 4 = 0 and the circle x 2 + y 2 = 16.

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Q: Determine the equation of the circle in standard form: x2 + y2 + 6x - 12y + 20 = 0 A. (x-3)2 +…

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Q: Determine the equation of a circle whose center is (- 1, 8) and whose radius is 3. 0 (x - 1) + (y +…

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Q: 18. Sketch the graph of a circle whose equation is x +y² + 10x - 6y = 2.

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Q: (2– 1)° + (y+ 3)² = 16- Which graph shows the circle whose equation is %3D

A: General form of equation of a circle with center (h, k) and radius r is,             (x—h)2 + (y—k)2…

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: Choose the equation of a circle with radius 6 and center13, - 52.(a) 1x - 32 2 + 1y + 52 2 = 6(b) 1x…

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

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Q: Find the equation for the circle centered at point M (-2,3) and tangent to the line 20x -21y -42 = 0

A: We will find the radius of circle.

Q: Write an equation of a circle where the center is (4,-3) and the radius 4. OA. (x +4)2 + (y – 3)2 =…

A: Answer: B.x-42+y+22=16

Q: Find the equation of the circle with the center at (-4,-5) and tangent to the line 2x + 7y - 10 = 0.…

A: Circle equation

Q: Draw a circle with an equation of x2+4x+y2−4y=1.

A: Given,

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Q: (i) Find the equation of the circle passing through (0,0) and making intercepts 4,3 on X-axis and…

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Q: Find the equation of a line tangent to the circle x² + y² + 2x – 4y – 31 = 0 at the point (5,2).…

A: Given: The equation of the circle is  x2+y2+2x-4y-31=0   To determine: The equation of a line…

Q: Find the center of the circle whose equation is x2+14y+y2−28x+200=58.   (−14, 7) (7, −14) (−7, 14)…

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Q: 23 What are the coordinates of the center of a circle whose equation is ** +y - 16x + 6y+ 53 = 02 1)…

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Q: Find the equation( in general form) of the circle passing through points (1,−2),(5,4)and (10,5)

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Q: Find for the equation of a circle with center at (-1, 4) and passes through the point (3. 2).…

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Q: Choose the equation of a circle with radius 6 and center (3, - 5).(a) (x - 3) 2 + (y + 5) 2 = 6(b)…

A: It is given that  The circle with radius 6 and center (3, - 5).

Q: Find the equation of the family of circles whose center is at the y-axis. A. y "+ 3y + 7 = 0 В. ху "…

A: Please refer the attached image for complete solution.

Q: 3. Find the equation of a circle with center at (2, 3) and tangent to the line 3x – 5y = 8. а. 2х2 +…

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Q: The equation of the circle (x+1)²+(y+3)²=(4)² has a center and (1,3)?true or false?

A: The standers equation of a circle centered at (h,k) with radius r is given by x-h2+y-k2=r2. We…

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: Find the standard equation of the circle whose center is on the line y = 3x - 3 and this circle cuts…

A: We 1st assume the standard equation of circle and use the given conditions to derive the require…

Q: Find the equation of the circle passing through this point (5,1), (3,-1) with the centre on the…

A: Consider that the circle passes through point (5,1) and (3,-1) with center on y-axis.   The equation…

Q: the center of the circle whose equation is x^2+y^2+2x-4y=11 is 1. center (1,-2) 2. center(2,4) 3.…

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Q: Find the equation of the circle with center at (−2, 0) and that passes through the point whose…

A: Given:Center of the circle is (–2, 0).Point through which the circle is passing: (–4, –5)

Q: 3. Write the equation of the circle with center at (4,-5) and touching the line 3x – 2y -7= 0.

A: Consider that the center of circle be -4,-5 and line 3x-2y-7=0 touches the circle.   Since the line…

Q: Find the standard form of the equation of the circle. Center ( - 1, 3) and tangent to the line y = 2

A: To find: The standard form of the equation of the circle. Given information: Center ( - 1, 3) and…