ype equaon nere. 37. What is the equation of the circle whose diameter is 8 units and whose center is at (-5, -1)? A. (x– 5)² + (y – 1)² = 64 B. (x+ 5)? + (y+ 1)² = 64 C. (x– 5)² + (y – 1)² = 16 D. (x+ 5)² + (y +1)² = 16 38. Which of the following is the equation of the circle illustrated below? A. (x – 2)² + (y + 2)² = 5 B. (x – 2)² + (y + 2)² = 25 C. (x + 2)² + (y – 2)² = 25 D. (x+ 2)? + (y – 2)? = 5

Q: Write an equation of a circle with diameter AB. А(7,7), В(13,13) Choose the correct answer below. O…

A: using  formula for mid point & equation of circle

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A:

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A:

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A: The equation of the circle 2x2+2y2+8x+4y+8=0, we have to find the center and radius of this equation…

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A:

Q: 18 What is the equation of a circle with radius 3 and center (3,0)? A x² +y? – 6x = 0 B. x? +y? + 6x…

A:

Q: find the center (h, k) and the radius r of the circle. x2+y2

A: We have find the radius and centre

Q: 1. Find the center and radius of a circle given by 2r2-8x + 2y2-4y+6=0

A: Given: 2x2-8x+2y2-4y+6=0 Take out common and write in standard form x2+y2-4x-2y+3=0

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A:

Q: Find the center C(h,k) and radius (a) :of the circle 9. x² + y² – 4x 4 0 =

A: Write in standard form

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A:

Q: 12. Find the center of the circle. 0 (-2,2) 061.1) Ⓒ (1,-1) (2.2) 62 F Dein -3 -2 --2- -1- 0

A:

Q: 1. What is the center and radius of the circle x² + (y + 3)² = 7? 2. Find the diameter and area of…

A:

Q: 5. Determine the value(s) of k such that the circle x² + (y – 6)² = 36 and the parabola r? = 4ky…

A: we have to find the value of k. the solution is following.

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A:

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A: We have to find the equation of the circle. In this problem first we will find the center and then…

Q: 12. Find the center and radius of the circle x² + y² + 4x – 2y – 4 = 0. Graph this circle.

A: x2+y2+4x-2y-4=0

Q: A circle whose equation is x2 + y2 + 4x + 6y – 23 = 0 has its center at ______.

A: Given equation,

Q: x² + y² - 4х + 6у — 36 %3D 0

A: The standard form of equation of circle (X-h)2 + (Y-k)2 = r2 Where center of circle lies at (h,k)…

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A: To complete the derivation

Q: b) What goes wrong if you try to apply the same procedure to find all the points on the circle r? +…

A: Given,                  x2+y2=3      We know that,      To find all rational points on the…

Q: If one end of the diamtere of the circle x2+y2-5x-8y+13=0 is (2,7) .then find the other end of the…

A:

Q: 4. What is the equation of a circle with radius 3 and center (3, 0)? A. x2 + y2 – 6x = 0 B. x2 + y?…

A: equation of the circle with radius 3 and center (3, 0) :(x-3)2+(y-0)2 = 32

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A:

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

A:

Q: Determine the value(s) of k such that the circle x²+(y-6)²=36 and the parabola x²=4ky will intersect…

A: Consider the provided equations, x2+y-62=36  ....... (1) x2=4ky ...... (2) Determine the value(s) of…

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A:

Q: 2. Consider the equation r = 4 – y². (a) Find a parameterization of the segment of this parabola…

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Q: 35. Find the length of XZ in the circle. Y is the center point. YZ = 3, and m2XYZ-60 A. 3 7 B. C. 6…

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Q: 1. The equation of the circle is x² – 2x + y² +6y =-6, its center is and th radius is

A: 1. The equation of the circle is,  x² - 2x + y² + 6y = -6 So, (x² - 2x + 1) + (y² + 6y + 9) = 1+9-6…

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A: Given : x2+y2-14x+10y+10 = 0

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Q: 8a. Consider the circle x² + (y – 2)² = 4. a. Identify its center. b. How long is its radius? Use an…

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Q: Concentric with the circle x ^ 2 + y ^ 2 - 4x + 6y - 17 = 0 and 3x - 4y + 7 = 0 equation of the…

A: Solution:- x2+y2-4x+6y-17=0 x2-4x+6y+y2=17 x2-4x+4+6y+y2+9=17+4+9 x-22+y+32=30 Center of circle (2,…

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Q: What is the center of th O (-1, 2) O (2, –1) O (-2, 1) O (1, -2)

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A:

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

A: Solution...

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Q: b. the length of the tangents from the point (2, 5) to the circle x +y² -14x-2y+34= 0

A:

Q: B. Find the equation of the circle (in standard form) defined by the fol 6. endpoints of the…

A: As per our guidelines we are supposed to answer only 3 sub-part of the question

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

A: Given: Center (0,8) and radius =√30

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A: We first write the given equation in standard form.…

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A: