A and B are two points in the xy-plane. If their coordinates are A(2, 3) and B(4,3), which of the following is the equation of the circle for which AB is a diameter?

Q: A circle in the xy- plane has equation (x – 2)2 + (y + 5)2 = 36. %3D Which of the following points…

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Q: Find the center (h,k) and radius r of the circle with the given equation.   (x+10)^2+y^2=25

A: We know that equation of circle with center at (h,k) and radius r is

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: Calculate the equation of the circle that passes through the point (0, -3), whose radius is V5 and…

A: we know that equation of circle (x-h)2+(y-k)2=r2  Here radius of circle is 5 ,here circle passing…

Q: Find an equation of the circle with center at (– 5, – 5) that is tangent to the y-axis in the form…

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

A: Write in standard form

Q: Find the equation of the circle that passes through the point (9,7) and is tangent to both the y…

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Q: If Y is the center point, YZ 3, and mXYZ =60, what is the area of sector XYZ in this circle

A: The given circle is where y is the center point, YZ is the radius of 3 unit and angle XYZ is 60o .…

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 that circumscribes the triangle whose sides are formed by the…

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Q: The center of a circle has the coordinates (2-V2,3-V2). Show how there are no two points on the…

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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: Find the standard form for the equation of a circle (z – h) + (y- k) = with a diameter that has…

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

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Q: 1. Determine the center and the radius of the circle whose equation is given by x' +y° – 6x +2y+2 =…

A: The solution as follows :-

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: N and O are two points in the xy-plane. If their coordinates are N (3, 6) and O(5, 9) which of the…

A: We have to find the equation of the circle. In this problem first we will find the center and then…

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: Find the point with coordinates of the form (2a, a) that is in the third quadrant and is a distance…

A: We know that, a point in third quadrant must have negative abscissa( x-coordinate) and negative…

Q: Consider the equation of the circle given as: 3x^2 + 3y^2 + 6x - 4y=0.The corresponding center of…

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

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

A: Given equation,

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

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Q: A and B are two points in the xy-plane. If their coordinates are A(2, 3) and B(4, 3), which of the…

A: We will find the equation of circle as following.

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 circle x² + y² - 18x + 8y +48=0 is translated one unit right and two units down. Which is the…

A: We know that general form of a circle equation is -  (x - h)2 + ( y -k)2  = r2. Here (h,k) is center…

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: Find the center (h, k) and radius r of the circle with the given equation. 4x2 +4y2 - 12x + 16y - 5…

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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: 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: A cirele with centre C has equation x² +y² - ár+4y +4 = 0. (a) Find (1) the coordinates of C, (li)…

A: Given equation is, x2+y2-6x+4y+4=0

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: Find the distance from the point (5,8) to the circle x+y2 + 2x + 6y +3 = 0

A: Please see the explanation below

Q: The standard equation of the circle with center (-1,-4) :and tangent to x-axis is اخترأحد الخیارات…

A: Stranded equations of the circle passing through center (h,k).

Q: The equation of a circle centered at (0, 8) with a radius of 30 is given by which of the following…

A: Given that, center of circle is (0, 8) and radius, r = √(30) To find the equation of circle

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

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Q: Let A(-2,7) and B(14,-5) be points in the plane.   Find an equation of the circle for which AB is…

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Q: The coordinates of the points A and B are (-2, 3) and (4,1), respectively. An equation of the circle…

A: Please consider the handwritten solution.

Q: In a circle whose equation is (x – 1) +y+3) =9, the coordinates of the center and length of its…

A: To find the center coordinates and length of radius of the given circles

Q: B. Find the equation of the circle (in standard form) defined by the fol 6. endpoints of the…

A: As per our guidelines we are supposed to answer only 3 sub-part of the question

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: 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: If the abscissae of points A, B are the roots of the equation x² + 2ax − b² = 0 and ordinates of A,…

A: If the abscissae of points ,A,B are the roots of the equation x2+2ax-b2=0and ordinates of A,B are…

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: 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+y2−6x+4y−3=0. Then graph the circle.

A: Consider the general form for the equation of the circle.

Q: The equation of a circle centered at (0, 8) with a radius of is given by which of the following…

A: Given: Center (0,8) and radius =√30

Q: Find the equation of a circle whose diameter ends at (-1,3) & (5,-1). O (x-2)* + (y-1) = 52 %3D O…

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