Exercise 2: Find an equation of the circle with the following conditions. 1. center is at the origin , radius is 4 2. center is at C (-3 , 5) diameter 10

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

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Q: 2. Determine the equation of circle G, given the following information. a) G(0,0) radius 4 b) G…

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Q: The standard form of the equation of a circle with center (h, k) and radius r is

A: Consider the given information. The center of the circle is (h,k) and the radius is r. Substitute…

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: What is the center and radius for the circle with equation 2x? – 8x + 2y? + 12y + 14 = 0? A (2,–3);…

A: We have to find the centre and radius of given Circle.

Q: Find the standard form of the equation of the circle. With endpoints of a diameter at (4, 3) and (0,…

A: Known fact: The equation of circle with endpoints of a diameter at x1, y1  and  x2, y2 is given by…

Q: B: Determine the center and radius of the following circle: 2+ y?-3x+10y-1=0

A: As we know that; The standard equation of the circle; x-h2+y-k2=r2 Where; center: h,kradius=r…

Q: Find an equation of the circle that satisfies the given conditions. endpoints of a diameter at…

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Q: What is the equation of the circle with centre (,0) and radius 2? (2a- 1)2 + y? = 2 4. (2x-1)2 + y?…

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Q: B. Write the general equation of a circle with the given center and radius. Center :(0,0); radius =…

A: The general equation of the circle is (x-h)2+(y-k)2=r2

Q: Consider the circle with the equation (x+2)^2+(y−1)^2=25 Its center is (           ,         )  and…

A: GIven equation:- x+22+y-12=25

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

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Q: find the center and the length of a radius of each circle. x2 + y2 + 6x + 10y + 18 = 0

A: Standard equation of circle in center and radius form is x-h2+y-k2=r2 Where h,k is coordinate of…

Q: Find the exact center and radius of the circle: x^2 -10x + y^2 +6y +21 = 0

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Q: Consider the circle x2+ y2–6x–8y= 0 as shown in the figure below. Find the center and the radius of…

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Q: Write the equation of the circle in general form that will satisfy t conditions. C. 25. Center 5:4,…

A: Given that: 28. Line segment joining (0, 7) and (-6, -3) is a diameter.30. Center is at (0, -9) and…

Q: Find the standard equation of the circle which satisfies the given conditions. 4. center at the…

A: The objective of the question is determine the standard equation of circles.

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

A: In general, the equation of circle is x-h2+(y-k)2=r2 Where, (h,k)=center, r=radius.

Q: What are the radius and center of the following circle? x2 + y? + 4x – 4y + 4 = 0

A: Solution: The objective is to find the centre and the radius of the given circle

Q: Find an equation of the circle that satisfies the stated conditions.

A: Given: Center C 14,0  Radius r=5

Q: Consider the circle with equation (x+ 5)²+y² = 121. What are the coordinates of the center of the…

A: By comparing with the standard equation of circle we solve it.

Q: What is the center of circle P if its diameter has endpoints at Q(-5, – 3) and R (0,6)? y 18 OE3

A: The answer is found in step-2

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: 3. Determine the center and radius of the circle (x-3)' +(y+1) = 25. Then accurately graph the…

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Q: 1. Write the standard equation of a circle with the given center and radius. a. (0,0); radius=7 b.…

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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: Find an equation of the circle that satisfies the stated conditions.

A: Find an equation of the circle that satisfies the stated conditions. The center of the circle C is…

Q: What is the standard circle equation from the general circle equation: x2 +y? +8x=144+12y O K+42…

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Q: Use the information provided to write the standard form equation of the circle. Center: (12, -6)…

A: This question related equation of circle.

Q: 1. The point (3V2, 3/2) centered at the origin. lies on a circle Whet is the oirele2 Show

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Q: Let P be the point with Cartesian coordinates (2, 1, 4) and Q be the point (4, 3, 10). a. What is…

A: We have to solve all three parts

Q: Find the standard equation of the circle concentric with x? + y? +2x – 4y – 5 = 0, radius is 7.

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Q: Find an equation of the circle that satisfies the given conditions. End points of a diameter are…

A: Given: Endpoint P of the diameter is -1,1. Endpoint Q of the diameter is 5,9 Determine the center…

Q: The equation of a circle centered at (4, 5) with a radius of 3 is given by which of the following…

A: We have to solve the problem

Q: B. Find the equation of a circle (in general form) defined by the following. 6. center at (0,0);…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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

A: Given that, ht=6t2-1t-3. To evaluate h-1, substitute t=-1 in the equation ht=6t2-1t-3 and simplify…

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: 1. (a) Show that the equation of the osculating circle to the parabola y = x? at the point (a, a?)…

A: Solution...

Q: the standard form of the equation of the circle with center at C (0,0) and radius 5 is

A: Standard form of equation of circle (x-h)2+(y-k)2= (R)2 where, (h,k) is center of circle R = radius…

Q: What is the standard form equation of the circle given by the information listed below? Center (0,0)…

A: As standard form of circle is given by : (x-h)2+(y-k)2 = r2 where (h,k) are centres and r is radius

Q: Find the center (h, k) and the radius r of the circle 4x2 + x + 4y? + y – 10 = 0.

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Q: Find apolar equation for the circle x² + (y - 3)? = 9. 2

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Q: Determine the center and radius of the following circle equation: x2 + y? – 2x – 12y + 36 = 0 -…

A: The standard form of the circle is given by the equation where is the center and r is the radius of…

Q: Give the equation of the circle centered at the origin and passing through the point (0, 8). O=0

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Q: Find an equation of the circle that satisfies the stated conditions.

A: Centre C(-3,6), tangent to the y-axis

Q: What is the standard form equation of the circle given by the information listed below? Center :…

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Q: 1. a. What is the equation of a circle with center (6, 0) and radius 5? b. Is the point Q(2, 3) on…

A: (a) The equation of a circle with center (6, 0) and radius 5 is:…

Q: Given the radius r = 12 and center (-7,10), find the standard equation of the circle. O (x+7)² +…

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