1. For the circle with equation (x – 2)² + (y + 3) = 9, answer each question. (a) What are the coordinates of the center? (b) What are the radius and diameter of the circle? (c) Graph the circle. y 3 -3 -2 1 2 3 4 5 6 7 -2 -3 -4 -5 -6 L7

Q: Write the equation of the circle with center at (0, 0) and touching the line 5x – 12y = 52.

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

Q: Find the equation of the circle that Passes through the points A(2/ 3) B(-4/ 3) and c(3/2)

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Q: 7. Complete the square to find the center and radius of this circle. x? + y? - 6x - 4y + 5 = 0…

A: Adding 8 on left hand side and right hand side of the equation and rearranging them will give us the…

Q: Find the center and radius of a circle defined by the equation 2x + 2y? + 10x – 6y + 55 = 0. Sketch…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: (a) Find centre and radius of the circle. (x+3)² + (y – 8)² = 81

A: The equation of a circle centered at h, k is defined as x-h2+y-k2=r2, where r is the radius.

Q: 1. Write the equation of a circle with a center at (-3, -4) and a radius of 7.

A: Given: Center of the circle=-3, -4Radius of the circle=7 To Find: The equation of the given circle

Q: Write the equation of a circle with center (4, 2) and diameter 16. Enter your answers in the spaces…

A: Formula: The equation of a circle centered at h, k with radius r is: x-h2+y-k2=r2 Radius of a circle…

Q: 1. Write the equation of the circle with the center at (1, -2) and radius equal to 6. 2. Write the…

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Q: Write the equation of the circle with center C(-2;4) and radius r=5. Where does the circle cut the…

A: Solution is given below

Q: Write the standard equation for the circle whose center is at (8,9) and whose radius is 4.

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Q: The distance between the points (2, 1) and (−4, 7) form the diameter of a circle. Find the radius…

A: The distance between the points (2, 1) and (−4, 7) form the diameter of a circle. To find the radius…

Q: Identify the radius for the circle. (x+7)²+y²=256 16 3 4.

A: we campare the given equation of circle to (x-h)^2+(y-k)^2=r^2.and solve the question.see 2nd step.

Q: Write the equation of a circle with center (15. 12) and radius 3V6. x+ 15) • (y • 12 = 54 x - 15 +…

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Q: 6a. What is the center point of the circle from the equation below? (x + 2)² + (y - 4)² = 36 6b.…

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Q: (3 marks) Find the equation of a circle whose center is at (3, 3) and tangent to the circle x? + y?…

A: Kindly go through the solution and let me know in case of any doubt or further clarification in the…