Total of 30 points. (1 point for the correct answer and 2 points for the correct solution.) A. Find the equation of the following circles determined by the given conditions. 1. Center at (5,0) and radius 3. 2. Center at (6,-2) and passing through the point (1,2). 3. Center at (0,4) and tangent to the x-axis. 4. Center at (-3,0) and tangent to the y-axis.

Q: Compute equations for the following circles. Your answers must have the form (x – a)² + (y – )² =…

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Q: 4. What is the equation of a circle with center (2, 4) and radius 5? F. (x – 2)2 + (y – 4)2 %3D - -…

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Q: 6. Find all points with second coordinate -3 that are 6 units from (3, 2). 7. Find the equation of…

A: The objective is to find the points with second coordinate -3 that are 6 units from 3,2       The…

Q: A. Determine the standard form of the equation of each of the following circles. 1. 2. (x - 2)2 + (y…

A: We can determine the equation of circles in standard form as below.

Q: 3. Consider the circle C given by the equation x² + y² – 8x + 4y – 12 = 0. Give the point-slope form…

A: we have to determine the point slope form

Q: Refer to given graph. egt The center of the circle. A. ( 2,1) В. (3,2) С. (2,3) D. (1,2) The graph…

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Q: A. Determine the center and radius of the following circles. 1. x2 + y2 – 8x + 2y + 13 = 0 2. х2 +…

A: As per the company guidelines we can solve first three parts  . I hope that the given solution will…

Q: Activity 7. Equation of the Circle Direction: I. I. Find the equation of the circles. Final answers…

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Q: Write the standard equation for the circle whose center is at (10,7) and whose radius is 2. Choose…

A: We have to find the standard equation of the circle.

Q: 17. Find an equation in standard form for the circle centered at (7,–2) with radius 8. A. (x – 7)² +…

A: I have appended the formula used in the solution part.

Q: II. Determine the center and the radius of the circle given its equation. 1. X² + y° = 169 2. (x –…

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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)…

Q: Find the center and radius of the circle with the given equation (x – 5) + (y+ 3) = 49 O(-5, 3); 49…

A: Given that the equation is     (x - 5)2 + ( y + 3)2 = 49 Here we have to find the center and radius…

Q: The circle with equation 22 + y? + 2x + 4y- 31 0 has center C and radius r units, where Choose the…

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Q: Circles are described below by the coordinates of their centers, C, and one point on their…

A: Let center of the of circle is C(x1,y1) and point on circumference Ax2,y2 Radius…

Q: D. (-1, C. 16 6. Determine the equation of a circle with center at (-4, 0) passes through the point…

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Q: C. Determine the center and radius of each of the following circle. 9. x + y - 10x + 12y + 41 = 0…

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Q: Find the equation of a circle whose center is at (4, 1) and tangent to the circle x² + y? – 8x - 6y…

A: standard equation of circle (X-h)2 +(Y-k)2 = r2 center (h,k) , radius = r    Here circles touches…

Q: 3. Plot each of the points below and give their coordinates in the specified coordinate system. a.…

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Q: B. A circle is tangent to the line 2x -y + 1 = 0 at the point P(2, 5), and the center is on the line…

A: The figure

Q: 1. A triangle has its vertices at (0, 7), (-3, 1), and (2,0). Find the equation of its sides.

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