Explain in your own words why the general equation of a circle x? + y2 + Dx + Ey+F 0, is a special case of the general second degree equation Ax² + Bxy + Cy2 + Dx + Ey +F = 0.

Q: The equation of a circle of radius 2 centered at the point (2,-3) is:

A: Please refer the attached image for complete solution.

Q: Find the equation of the circle whose centre is at the point (1, -1) and which passes through the…

A: Given : circle whose center is at the point 1, -1 which passes through the point 4, 3 To find :…

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

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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: What is the equation of a circle with center (-5, 4) and radius V2? ㅇ (2+5)2 + (y-4)2 =2 ㅇ (2+ 5)2 +…

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Q: Find the standard form of the equation of the circle. Center (1, 0) and containing the point ( - 3,…

A: Given: Center (1, 0) and containing the point ( - 3, 2)

Q: The surface described by the equation 3x-+3y-+3z--8x+4z+38=0 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: 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: Write the general form of equations describing the circle with its center at (1/4,-3/4) and a radius…

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Q: of the EXAme Write down the radus and the co-ordinates XAMPIE 2 eQuAtioN Centre of the Circles with…

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Q: What is the equation for the following circle? center: (12, -1), radius: V209 (-12)2 +(y +1)? = 209…

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Q: Find the center-radius form of the equation of the circle. 21) center (-/3, -7), radius 3 A) (x -…

A: Here we will find the equation of circle in centre-radius form,

Q: What is the center and radius for the circle with equation 2x2 -8x+2y2 + 12y +14 0?

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Q: Determine the equation of a circle whose center is (- 1, 8) and whose radius is 3. 0 (x - 1) + (y +…

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Q: find the standard equation of the circle 1. concentric with x^2+y+2-6x-4y=36, radius 5 identify…

A: Recall: Equation of the circle : x2+y2+2gx+2fy+c=0 ; where (-g,-f) is the center (x-h)2+(y-k)2=r2;…

Q: What is the standard form equation of a circle and what other equation(s) is it derived from?

A: For the solution follow the next step.

Q: Choose the equation of a circle with radius 6 and center13, - 52.(a) 1x - 32 2 + 1y + 52 2 = 6(b) 1x…

A: Equation of a circle whose center (h, k) and radius r, x-h2+y-k2=r2       ...(1)

Q: A circle has an area of A = 15.7 and a center of (3,-2). What is the standard form equation of this…

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Q: 26. Find the center and radius of the circle whose equation is x2 + y + 14x + 6y = -54 C(x, y) = (

A: Concept - (x-h)^2  + (y-k)^2 =r^2  Here -(h,k) is the center of circle And r is the radius

Q: What is the radius of the circle with equation (x − 7)2 + (y − 8)2 = 9?

A: Let the equation of circle is-

Q: What is the radius of the circle whose equation is x2 + y2 = 49? %3D

A: By using equation of circle, we calculate the radius of given equation.

Q: What are the two forms of the equation of a circle? Briey describe in words how you would go from…

A: Definition of a Circle   A circle is the set of all points in a plane equidistant from a fixed point…

Q: Write the equation of the circle. -7- -5- -3 2 1- -8 -7 6 -5 4 -3 -2 -1 0 1 2 3 4 5 6 7 8 -1- -2 -3…

A: The diameter is the longest chord of a circle. The diameter is always passed through the centre of…

Q: What are the center and the radius of the circle 4x² + 4y² - 4x + 16y + 1 = 0?

A: Given equation of circle is 4x2+4y2-4x+16y+1=0We know that the general equation of circle is…

Q: What is the equation of a circle with center (2, 3) and radius 7? (Put a zero if the answers are…

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

Q: What are the center and radius of the circle described by the equation x2 + y2 + 6x + 10y + 18 = 0?…

A: Find your answer below

Q: what is the equation of the circle if it has a center at (6,0) and diameter equal to 12 units?

A: To find the equation of the circle if center is at (6,0) and diameter equal to 12 units. Solution:…

Q: How is the standard form of a circle’s equation obtained from its general form? Explain.

A: The standard equation of the circle is of the form x-h2+y-k2 =r2 where h,k is the center and r is…

Q: 3. What is the equation of a circle that has a diameter of 16 units if its center is at (-2,-6)?

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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: Draw the circle whose equation is given by 3x2 + 3y2 + 6x − 9y = 2.

A: We have to draw the circle whose equation is: 3x2+3y2+6x-9y=2 First of all we need to convert in…

Q: What are the radius in the center of the circle of equation x^2+y^2+4x+2y-20=0

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Q: what is the center of the circle x2+y2=9

A: topic - center of circle standard equation  of the circle  with center at (h,k) and radius r is…

Q: What is the standard equation of a circle with radius 7 and is concentric (same center) with the…

A: Given:- x2 + y2  +2x-4y=5 To find:- Equation of circle concentric with given circle and radius 7

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

A: It is given that  The circle with radius 6 and center (3, - 5).

Q: The equation of the circle (x+1)²+(y+3)²=(4)² has a center and (1,3)?true or false?

A: The standers equation of a circle centered at (h,k) with radius r is given by x-h2+y-k2=r2. We…

Q: A triangle has its sides having equation equal to x + 2y – 5 = 0, 2x – y – 10 = 0 and 2x + y + 2 =…

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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: What is the equation of a circle with center (-4, 2) and diameter 6?

A: Given: The center of circle is (-4, 2) and diameter is 6.

Q: What are the center and radius of the circle whose equation is x2 + (y-3)2 = 144?

A: This question is based on equation of circle.

Q: What is the standard equation of a circle with center (5, -3) and radius 6?

A: Given

Q: Write the equation of a circle. Center (3,-5) Radius = 7* (x + 3) + (y-5) = 7 (x-3)2+(y+5) = 7 O…

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Q: What is an equation of a circle whose center is (1,4) and diameter is 10?

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Q: What are the center and radius of the circle given by x2 + y2 16x + 8y + 4 = 0? O (-8, 4); 4 O (8,…

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Q: 2. If an equation of a circle is given in the general form what technique can we use to convert the…

A: The center -radius equation form of a circle is(x-a)2+(y-b)2= r2, where (a,b) is the center of…

Q: Determine the evolute of the circle x2+y2=R2.

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Q: Write the equation of the circle at (4,6) with radius 18

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