14. Find the radius and center of a circle with the equation x2 + y2 + 4x – 8y = 16.

Q: Write the equation of a circle with centre (5, –2) which is tangent to the Y-axis. o (x + 5)² + (y –…

A: Here we have to write the equation of a circle with centre (5,-2) which is tangent to the y-axis.

Q: fc xy2 ds, C is the right half of the circle x2+ y2=16

A: We have given that  curve is the right half of the circle; x2+ y2=16 The parameterization of the…

Q: 4. If XY = 78 miles and mXY = 70°, then determine the radius of circle H. %D %3D Y

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Q: Which equation represents a circle with center (-4, 9) and radius 7? 1.(x+4)^2 + (y-9)^2 = 7…

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

Q: Calculate (2 + x²y) ds where C is the upper half of the circle x² + y? = 1 (y>0) -1

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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: [19] Find the center and the radius of the circle x + y – 8x+ 2y+13= 0. Work:

A:

Q: What is the equation of a circle that passes through the vertex and the points of latus rectum of…

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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: 5. Write the general equation of the circle with center (5, 0) and radius 3/2.

A: Here in question it is given that radius of circle is 32. Center of circle is (5,0). General…

Q: What is the equation of a circle with center (2, 3) that passes through the point (5, 3)?…

A: Equation of circle with center (h,k) and radius r (x-h)2+(y-k)2=r2

Q: 20. What are the center and radius of the circle with equation (x-1) + (y + 4) = 42 O center: (-1,…

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Q: 7. Draw the circle whose equation is given by 3x² + 3y² + 6x – 9y = 2.

A: the  given equation is 3x2+3y2+6x-9y=2 changing into the standard form of the circle that is…

Q: 7, What is the equation of the circle whoe diameter is 18 units, and its center is at (-X A -3) y+…

A: Topic = Circle 7) Correct option  = D As per guidelines , At a time only one question can be…

Q: 38. What is the standard equation of a circle with center (6, -2) and radius 3? A. (x-6)2 + (y-2)² =…

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Q: 3 8. Determine the centre and the radius of the circle x² + y² – 5x + 12y – 6.75 = 0. State your…

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Q: Show the complete solutions. Family of circles centered at the line y = 2x. Ans: y" (y-2x) + 2(y')³…

A: Given problem:- Differential equation of family of circles centerd at the line y=2x

Q: Give the center and radius of the circle. x 2 + y2 = 25

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Q: 1. What is the center and radius of the circle given by ( x − 3 ) 2 + ( y + 2 ) 2= 16.

A: Recall the standard form of equation of a circle: (x - a)2 + (y - b)2 = r2 where center of the…

Q: Find center and radius of the circle. x^2 + y^2 + 4x - 6y + 13 = 0

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Q: Find the points of intersection between the line x + y - 4 = 0 and the circle x 2 + y 2 = 16.

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Q: What is the equation of a circle with center (2, 3) that passes through the point (5, 3)?…

A: First find the radius of the circle than using centre and radius write the equation.

Q: Find the equation of a circle in standard form whose center is at (-4,3) and radius v5 * O…

A:

Q: 5. Calculate the equation of a circle which is centered at the point of intersection of the lines x…

A: Topic = Circle

Q: 20 Write the equation of a circle with a center at (0, 11) and a radius of 16

A: To write the equation of circle whose radius and center is given.

Q: 3. Determine the radius of a circle that passes through (5, 12). Hint: Substitute x 5 and y = 12…

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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: 1. Determine the circle center and Radius. (x-2) +(y+5) = 100 %3D (x-8)'+y 25 14 (x+3) +(y-1)

A: Question 1,Part a,Given,          x-22+y+52=100We know that,           The standard equation of the…

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: 21. Write the standard equation of a circle with center (-4, 0) and radius 3. (x- 4)2 + y2 = 3 (x+…

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Q: _23. What is the equation of the circle that passes through (4, 2) with center (0, -1)? x2 + (y –…

A: Here we find the equation of circle which passes through (4,2) with centre (0,-1)

Q: Write the equation in standard form of the circle whose center is at (0, 0) and that is tangent to x…

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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: 4. Write the equation for a circle tangent to the y-axis and with center (5, 6). It may be helpful…

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Q: 4. Determine the farthest distance from the point (8, 10) to the circle x² + y² = 16y Enter your…

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Q: 23 What are the coordinates of the center of a circle whose equation is ** +y - 16x + 6y+ 53 = 02 1)…

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Q: Write the equation of a circle with center (15. 12) and radius 3V6. x+ 15) • (y • 12 = 54 x - 15 +…

A:

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: B. Find the intersection points of the circle with center (2, 2) and radius 2√2 and the line that…

A:

Q: Find the points on the circle x^2+y^2=45 that are closest to and farthest to from(1,2)

A: Given: The equation of a circle is x2+y2=45   To determine: The points on the circle x2+y2=45 that…

Q: What is the center of a circle with equat (x + 4)2 + (y – 3)2 = 17

A: We can find the required center of circle from the given circle equation as below.

Q: 6. List the radius and center of this circle: x2+(y+2)²=6l

A: From the given problem:   x2+y+22=61   As we know that the standard form of the circle is:…

Q: Find the points on the circle x^2+y^2=45 that are closest to and farthest from (1,2)

A:

Q: What is the equation of the circle with center on the y-axis, that passes through the origin and the…

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Q: 1. Find the equation of a circle whose center is at (5, - 1) and radius 3.

A: General equation of circle whoe center is at ( h,k) and radius is R  is (x-h)2+(y-k)2=R2

Q: Write the equation of a circle with Center: (-1, 4) Radius: 4 ° (x + 2)² + (y – 1)² = 16 (x + 1)' +…

A: Center (-1,4) and radius 4.

Q: 8) Determine the equation for the circle that has: Center: (-5, 3)| Radius: 6

A: The equation of the circle with center (h, k) and radius r is given by

Q: 2 Draw the circle x² + y = 16.

A: We know that x−a2+y−b2=r2  is the circle equation with a radius r, centered at a, b. Rewrite…

Q: 4. Write the equation of a circle with center at (7, 6) and passing through (2, 5).

A:

Q: 19. Find the center and radius of a circle that has the standard equation (x + 2)² + (y – 5)² = 169.

A: Given,  The equation of the circle  x+22+y-52 = 169  We have to find the center and radius of…