b) Express the equation of a circle 3x2 +3y2 + 42x = 12y - 111 in standard form. Then, identify and sketch the graph by plotting the important points. (5 marks)

Q: 1. How will you determine the center and radius given the equation of the circle  in general form?

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Q: 6, Determine the equation of the circle graphed below. 10 8

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Q: II - Circle 5. Write the equation of the circle with the points (0, 1/2a), (1/2b, 0) as ends of a…

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Q: The standard equation of a circle with center at (2,-3) and radius 1 is _____.

A: Given : Center at 2,-3 and radius 1

Q: III. Find equation of the circle ( in general form ) that satisfies the given condition. 6.…

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Q: Find the standard equation of the circle having the given center and radius. Center (3,1), Radius 3…

A: Given center of the circle, (h,k)=(3,1)The radius of the circle, r= 53

Q: 18) Determine the equation for the circle that has (5, -3) and (-9, 5) as endpoints of the diameter.

A: Mid point of the end points of the diameter is the radius of the circle.

Q: Give the equation of the circle in standard form with center at (-3,-4) and radius 8 units

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Q: 1. Write the equation of the circle and graph the circle with Center (1,-3) and radius = 6. 10 8 4 2…

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Q: 2. What is the general equation of a circle?

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Q: Find the standard form of the equation of the circle with the given characteristics. center: (-2,…

A: given center of circle (-2,2)   and a point on a circle is (-2,5) we know that distance from center…

Q: 13. Write the standard equation of the graphed circle. 2 O 2 4. 4,

A: Given- The given graph of the circle is- We have to write the standard equation of the graphed…

Q: 8. Write an equation of a circle in rectangular coordinates and in standard form with center at (-8,…

A: Rectangular coordinates system is a system which is formed by two real number lines intersecting at…

Q: 2. Find the equation of the circle that passes through (1,-4) and has a center of (3,-2)

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Q: Sketch the graph of the circle. x2 + (y − 3)2 = 25

A: Given x 2 + (y − 3)2 = 25 We know that Standard form of circle  (x-h)2((y-k)2=r2 Where  (h,K) is the…

Q: Find the center-radius form of the equation of the circle satisfying the given conditions.3) Center…

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Q: Find the standard form of the equation of the circle with the given characteristics. endpoints of a…

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Q: Find an equation for the circle that has center (–1, 4) and passes through the point (3, – 2)

A: The general equation of circle with center (h, k) and radius a is given as follows:…

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: 7-10, find the center and radius of the circle. Then graph the circle. +y + 2r + 2y = 2

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

Q: 1. Find an equation of a circle with center (-3, 4) and radius 5.

A: The above problem is solved.

Q: What is the equation of the circle that circumscribe a 7-sided regular polygon whose two adjacent…

A: As per the question we have to find the equation of the circle circumscribing the 7-sided regular…

Q: 5. Write the standard form of the equation of the circle with the center at (-2,9) and passing…

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Q: What is the center-radius form of the equation of the circle with center (4,0) and radius 5

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Q: Draw the circle x² + y 16. 6+ 4 3 2 -6 -5 -4 -3 -2 -1, 1 2 3 4 5 6 -2 -3 -4 -5

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Q: find an equation of the circle that satisfies the given conditions radius=3 and center (2,-4)

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Q: Q1: Rasterize a circle with center (150,100) and radius length equal to 5, then draw a complete…

A: Given that, A circle with center 150,100 and radius of circle is 5. We have the equation of circle,…

Q: Write the equation of the circle that has the ends of adiameter at (1, 6) and (4, -1)

A: A circle is a set of points which are equidistant from a point called center of the circle. The…

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: 5) Write the standard equation of the circle. -3 3x

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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: Write the standard form of the equation of the circle with the given center (0, 0) and radius = 3.

A: We have to write standard equation of the circle having centre 0,0 and radius=3 Concept: If a circle…

Q: Find an equation of the circle that satisfies the given conditions. Center (3, −4);    radius 5

A: Given that center is (3, -4) and radius is 5.

Q: Find an equation of the circle that satisfies the given conditions. Center (-3, 2), radius 5

A: The equation of a circle with a center at C (h,k) and radius r is :…

Q: The standard equation of a circle with center at (2, - 3) and radius 1 is________

A: We know, Equation of a circle in standard form with center (h,k) and radius r units is given by:…

Q: Find the standard form of the equation of each circle with the given properties. 15. Center (2, 9)…

A: The general form of a second-order quadratic function is given by ax2+2hxy+by2+2gx+2fy+c=0, where…

Q: What are some very unique features to a circle and where do we see then in the real world?

A: Some of the unique properties of circles are listed as follows: -  a) Diameter : the line that join…

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: Find the equation of the circle that has (-1,6) and (5, 2) as endpoints of a diameter.

A: Given end points coordinates are -1,6 and 5,2

Q: 5. Find the equation of the circle in standard form whose center is at origin and passes through the…

A: The standard form of the equation of the circle is: (x-h)2+(y-k)2=r2 Where (h,k) is the center of…

Q: 2. State the equation of a circle in standard form which has a center at (-9, 8) and a radius of 8.

A: First we will look at the standard form of equation of circle and then answer this

Q: Write the equation of the circle in general form that will satisfy the given conditions. 25. Center…

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Q: Find the equation of the circle with center (4, 3) and contains the point (-1, 3).

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Q: 13–22, write the standard form of the equation and the general form of the equation of each circle…

A: Standard form: (x-h)2+(y-k)2=r2 Given (h, k)= (0,0) and r = 2.  Answer: Standard form:…

Q: Question in Image.

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Q: Find the standard form of the equation of the circle having the following properties: Center at the…

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Q: Find the standard form of the equation of the circle having the following properties: Center at the…

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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: Find the standard equation of a circle with center (-5, 3) and radius 9.

A: Here given  centre of the circle (-5, 3), r=9.