a.Find the equation of the circle having center at (2,3) and which touches x+y=1.   b.If x\power{2}+y\power{2}-2x+2ay+a+3=0 represents the real circle with nonzero radius,then find the values of a. c. Find the image of the circle  x\power{2}+y\power{2}-2x+4y-4=0 in the line 2x-3y+5=0.

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A: To rewrite the given equation to the standard equation of the circle (x-a)^2+(y-b)^2 =r^2, center…

Q: Find the equation of the circle in standard form centered at (1, 4) passing through the point (5,…

A: Standard form of a circle:

Q: Write the standard form of the equation of the circle with the given center and radius. (10, 0); 2

A: Given center (h,k)=(10, 0)  radius, r= 2

Q: Write the equation of the circle with center at   (4, 3) and touching the line 3x + y = –15.

A: Given that, the circle with center at 4,3 and touching the line 3x+y=-15.   The objective is to…

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Q: Find the standard form of the equation of the circle with a diameter having two points (1, -6) & (7,…

A: The end points of diameter of the circle are (1,-6)  and (7,2). The standard form of equation of…

Q: Find the center and radius of a circle defined by the equation 2x + 2y? + 10x – 6y + 55 = 0. Sketch…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 3. Find the center and the radius of the circle and sketch the circle 2x? + 2y? – 4x + 8y – 4 = 0

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Q: Complete the equation for the circle with center (6, 2) and radius 8. Choose... O 2 +( Choose.. O2-…

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Q: Which is an equation for the circle with a center at (-2,3) and a radius of 3?

A: Equation of circle is given by: where (h,k) is center and r is radius.

Q: Find the equation of the circle

A: Given equation x2+y2-6x-4y+9=0

Q: The general equation for a circle is a(x? + y*) + bx + cy + d = 0. There is exactly one circle…

A: a=1, b=-7 c=-9 d=0

Q: Find the equation of the circle given by 3x² + 3y² + 6x - 9y =2

A: Divide the equation 3x2+3y2+6x-9y-2=0 by 3 on both the sides by 3 to simplify the equation and get…

Q: Find the equation of the circle passing through (7,5) and (3,7) and with center on x-3y+3=0.

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Q: 5. Find the center and radius of the circle with equation (x + 1)² + (y - 3)² =9. Then graph the…

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Q: 4. Which equation represents a circle with center (9,-8) and a radius of 5 units? A (x-9)²+(v + 8)²…

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Q: Determine the coordinates of the center of the circle and determine its radius if its equation is x2…

A: To determine the center and radius of the circle represented by the equation , we first need to…