26. Find the center and radius of the circle whose equation is x2 + y? + 14 + 6y =-54 C(x, y) = (-7 ,-3 r =2

Q: What are the center and radius of the circle whose equation is (x – 2)² + (y+ 3)² 36 %3D , and the…

A:

Q: fc xy2 ds, C is the right half of the circle x2+ y2=16

A: We have given that  curve is the right half of the circle; x2+ y2=16 The parameterization of the…

Q: 4. If XY = 78 miles and mXY = 70°, then determine the radius of circle H. %D %3D Y

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Q: Which equation represents a circle with center (-4, 9) and radius 7? O (x+4)2 + (y-9)2 = 49 O (x+4)2…

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Q: 2.4. What is the center and the radius of a circle given by the equation x² + y² + 4x – 10y + 20 =…

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Q: fc xy4 ds, C is the right half of the circle x 2 + y 2 = 16

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Q: [19] Find the center and the radius of the circle x + y – 8x+ 2y+13= 0. Work:

A:

Q: If we have the circle (z-1) +(y– 1) = 25 and we intersect it with line y=4 what are the two…

A: Solution:Given(x-1)2+(y-1)2=25  and y=4To find the intersecting points.

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…

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: Determine the length of the tangent to the circle x2 + y2 − 4x − 5 = 0 from (8, −2)

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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: Find ∫C (2z + 9) / (z2 + 2z - 3) where C is the circle |z - 2| = 3.

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Q: What is the equation of the a circle with a center located at (4,-1) and a radius of 9? O (z + 4)? +…

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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: 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: What is the equation of a circle with a center at (4, –9) and a radius of 5? 1- -2 -1 1 2 3 5 9 10…

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

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Q: What is the standard equation of a circle with center (-2,3), and tangent to the x-axis? 1. (x + 2)2…

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Q: 2* + y – 10x+ 18y – 90 = 0 is the equation of a circle with center (h, k) and radius r for:

A: The given equation of a circle x2+y2-10x+18y-90=0 Completing the squares…

Q: 38. What is the standard equation of a circle with center (6, -2) and radius 3? A. (x-6)2 + (y-2)² =…

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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: Which of the following equations describes a circle with radius 10 that passes through the origin…

A: Given : Equations of circle : A) (x - 5)2 + (y + 5)2 = 10 B) (x - 5)2 + (y + 5)2 = 100 C) (x -…

Q: Calculate the equation of the circle which is centered at the point of intersection of the lines…

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

Q: 1. What is the center and radius of the circle given by ( x − 3 ) 2 + ( y + 2 ) 2= 16.

A: Recall the standard form of equation of a circle: (x - a)2 + (y - b)2 = r2 where center of the…

Q: What is the equation of the circle n the ry-plane that has center (4,-5) and that passes through the…

A: Option 4 is correct.

Q: A circle with radius 2 contains the point (1,-4). Which of the following equations best describes…

A: The given point is 1, -4The radius is 2

Q: Find the equation of a circle in standard form whose center is at (-4,3) and radius v5 * O…

A:

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: 20. A circle whose equation is x + 4x+y -10y+12=0 has a center at (1) (-2, 5) (3) (-4, 10) (2) (3, –…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: What is the equation of the circle in standard form whose endpoints of a diameter are at A(4, – 5)…

A: Given query is to find the equation of the circle.

Q: 3. Determine the radius of a circle that passes through (5, 12). Hint: Substitute x 5 and y = 12…

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Q: 1. Determine the circle center and Radius. (x-2) +(y+5) = 100 %3D (x-8)'+y 25 14 (x+3) +(y-1)

A: Question 1,Part a,Given,          x-22+y+52=100We know that,           The standard equation of the…

Q: 6. Show that the line with equation y = 3x – 5 is a tangent to the circle with equation x² +y? + 2x…

A: Equation of line : y=3x-5 Equation of circle : x2 + y2 +2x -4y -5=0 We have to prove that the line…

Q: 21. Write the standard equation of a circle with center (-4, 0) and radius 3. (x- 4)2 + y2 = 3 (x+…

A:

Q: 1. The equation of the circle is x² – 2x + y² +6y =-6, its center is and th radius is

A: 1. The equation of the circle is,  x² - 2x + y² + 6y = -6 So, (x² - 2x + 1) + (y² + 6y + 9) = 1+9-6…

Q: _23. What is the equation of the circle that passes through (4, 2) with center (0, -1)? x2 + (y –…

A: Here we find the equation of circle which passes through (4,2) with centre (0,-1)

Q: 3. If y = 7x cuts the circle x² + y² = 50 at A and B. Find the coordinates of A and B. %3D %3D

A:

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

A:

Q: 2. Find the center and radius of the circle whose equation is (z – 10)² + (y – 12)² = 49 C(x, y) = (…

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

A: Question is solved.

Q: What is equation of circle P? y 4 0 2 4 O (x – 2)² + (y – 2)² = 16 O (x + 2)² + (y +2)² O (2 – 2)² +…

A: Given circle, To be found -  Equation of given circle.

Q: What is the standard equation of the circle center at (3, 4) and tangent to the line x + 2y = 1? A.…

A:

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: 4. Find the equation of a circle with center at (4, -3) and is tangent to the line 4x-5y 20. %3D y.

A: Explanation of the answer is as follows

Q: Find the equation of the circle with center at (-9,6) and radius V5- (x+ 9)² + (y – 6)² = 5 O (x-…

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

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Q: 19. Find the center and radius of a circle that has the standard equation (x + 2)² + (y – 5)² = 169.

A: Given,  The equation of the circle  x+22+y-52 = 169  We have to find the center and radius of…