Reduce the equation of the circle x +y° +&r – 9y– 6 = 0 to its standard equation.

Q: Homer wants to identify the center and radius of the circle defined by the equation x +y2 - 14x +…

A: We have to choose at which setp Homer made a mistake.

Q: Write the standard form of the equation of the circle given x2 - 6x + y2 + 8y + 12 = 36

A: To rewrite the given equation to the standard equation of the circle (x-a)^2+(y-b)^2 =r^2, center…

Q: Write the standard form of the equation of the circle with the given center and radius. (10, 0); 2

A: Given center (h,k)=(10, 0)  radius, r= 2

Q: Find the equation of a circle whose center is at (4,2) and tangent to the circle x² + y? – 8x – 6y+…

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Q: The line whose equation is x-6y = 3 is rotated 120° about the origin. Find the equation of the image…

A: Here's the solutionExplanation: Solution:To find the equation of the image of the line x - 6y = 3…

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 circle that Passes through the points A(2/ 3) B(-4/ 3) and c(3/2)

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Q: Identify the center and radius of the circle defined by the equation: (x – 2)2 + (y- 3)² = 9 o…

A: Given the equation of a circle : x-22+y-32=9   Standard equation of a circle: x-h2+y-k2=r2 where h,k…

Q: Write the standard equation of a circle with the center at (-1, -4) that passes through the point…

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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: Write the equation of the circle centered at (- 3, – 10) that passes through ( 11, – 11).

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Q: Find the x² + y² − 3x − 6y + 14 = 0, - equation of the circle which cuts th x² + y² − x − 4y + 8 = 0…

A: The circle having center at the radical center of the three given circles and radius equal to the…

Q: Find the center and radius of the circle whose equation is x² + 10x + y² – 5y + 4 = 0. The center of…

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Q: Find the equation of the circle given by 3x² + 3y² + 6x - 9y =2

A: Divide the equation 3x2+3y2+6x-9y-2=0 by 3 on both the sides by 3 to simplify the equation and get…

Q: The graph of the equation  (x − 4)2 + (y − 2)2 = 9  is a circle with center  (x, y) =    and…

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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: Find the equation of a line tangent to the circle x² + y² + 10y – 10x - 14 0 at the point (-3,-5).…

A: The tangent at a given can be found by using the two point form of a line. If we are given the…

Q: Find the equation of the circle passing through (7,5) and (3,7) and with center on x-3y+3=0.

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