7. Show that: x² + 8x + y2 – 10y - 8 = 0 is the equation of a circle. What is the center of this circle? What is the radius of this circle?

Q: What is the equation of a circle having (10,2) and (6,-4) as endpoints of its diameter? x² + y² 16x…

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Q: 2a? + 2y? + 8x + 4y + 8 = 0 is the equation of a circle with center (h, k) and radius r for: h and k…

A: The equation of the circle 2x2+2y2+8x+4y+8=0, we have to find the center and radius of this equation…

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: Find the center and radius of the circle x2 + y2 - 10x + 4y + 20 = 0.

A: x2+y2-10x+4y+20=0 On simplification, we get…

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: 24 What are the center and radius of the circle 2 +y² + 4x = 5 ? whose equation is 1) (2,0) and 1 2)…

A: Using general equation of circle

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

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

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Q: The center of a circle lies on the line y =6x + 2 and is tangent to the x-axis at (-2,0). What is…

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Q: What is the equation of a circle that passes through the vertex and the points of latus rectum of…

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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: 7. The radius of the circle whose equation x + 6x + y – 6y – 7 = 0 is

A: Your answer Radius =5

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

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Q: 3. Find the center and radius of the circle with the equation x2 + y² – 6x + 10y +9 = 0.

A: Given: The equation of a circle is x2+y2-6x+10y+9=0 . The center and radius of a circle with…

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: 7. Find the equation of the circle with center (2, -4) and tangent to the y- axis.

A: As per guidelines we are supposed to solve the maximum one questions at a time. plz repost another…

Q: The general equation of the circle is x²+y²+Dx+Ey+F=0,where D,E and F are real numbers? True or…

A: We know that, the general form of the equation of a circle is x2 + y2 + 2gx +2fy + c = 0. Here, the…

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: 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 radius of the circle x2 + y2 – 6y = 0.

A:

Q: A circle whose equation is x2 + y2 + 4x + 6y – 23 = 0 has its center at ______.

A: Given equation,

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. Find the center and radius of circle x2 + y--2x-4y+1= 0.

A: 1) To find the center and radius of circle x²+y²-2x-4y+1=0

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: 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: 5. Calculate the equation of a circle which is centered at the point of intersection of the lines x…

A: Topic = Circle

Q: Find the center and radius of the circle: x² + y² – 4x + 10y + 13 = 0

A:

Q: 2) What is the standard equation of the circle with a Center (0,0) and a radius of 2.5? (x-h) ^2 +…

A: Given: The center of the circle as (0,0) and radius as 2.5. The objective is to find the equation of…

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: 2² + y? 14x + 10y + 10 = 0 is the equation of a circle with center (h, k) and radius r for:

A: Given : x2+y2-14x+10y+10 = 0

Q: Q2. What is the equation of the circle whose center is (3,4) and tangent with (x-axis)

A: 2. Equation of circle with center at (a, b) and radius r is as follows. (x-a)2+(y-b)2=r2. Center of…

Q: Write the equation in standard form for the circle with radius 4 centered at the origin. x² + y² =…

A: Use the standard formula for the equation of circle when centre and radius are given.

Q: Find the equation of the circle with center 2+31 and radius4 units. (A) (x-2) +(y-3) =4 (C) (x-2)…

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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 equation of the center and radius of the circle: x² + y² + 4x - 8y- 5 = 0

A: Follow the procedure given below.

Q: 14. Find the radius and center of a circle with the equation x2 + y2 + 4x – 8y = 16.

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

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 a circle in the zy-plane is 2 + 4x + y? – 10y = 20. If the line z= k intersects the…

A: Consider the equation of circle in xy-plane given by x2+4x+y2-10y=20 If the line x=k intersect the…

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

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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: What is the distance between the center of the two circles whose equation is r +y + 6x + 10y – 12 =…

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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: i) Find the exact length of the curve y=+15x52 4x3 1 ≤ x ≤ 2,

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

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: 2x + 2y + 16x + 4y+ 26 = 0 is the equation of a circle with center (h, k) and radius r for: h = and…

A: We will find  the center of the circle (h,k )and radius (r) in the following step.

Q: 2. Find the equation (in general form) of the tangent lines to the circle x² + y² - 8x + 10y = 128…

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