Find the equation of the circle that satisfies the given condition: With x-intercepts −3 and 7, y-intercepts 3 ± √30

Q: Consider the circle to the right. Determine the value of x. (6x)° K G

A: Given : A triangle ∆KGN and ∠KGN = 6x°

Q: A circle in the xy- plane has equation (x – 2)2 + (y + 5)2 = 36. %3D Which of the following points…

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Q: Find the equation of a circle centered at (1, −1) and tangent to the line 2x + 3y = 12

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Q: Find the shortest distance from the point (1,2) to appoint on the circumference of the circle…

A: We have to find the shortest distance from the point (1,2) to appoint on the circumference of the…

Q: For the circle given by + y² + 6x + 3y - 5 = 0, the square of the radius is [Hint: Write the circle…

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Q: Find the standard form for the equation of a circle (x−h)2+(y−k)2=r2 with a diameter that has…

A: Consider the given equation of the circle.

Q: A circle has an equation of x2+y2+6x+6y+8=0. What is the distance between points of intersection of…

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Q: 7. The radius of the circle whose equation x + 6x + y – 6y – 7 = 0 is

A: Your answer Radius =5

Q: What is the radius of the circle defined by x² + y? – 4x + 6y = 7

A: Given,           x2+y2-4x+6y=7To find : The radius of the circle.We know that,          The standard…

Q: Find the standard form for the equation of a circle (x-h)2+(y-k)2=r2 With a diameter that has…

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Q: A circle has an equation of y2 + 10y + (x − 2)2 = −9. Determine its general form, center and radius.

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Q: Find the equation of a circle whose c x2 +

A: We have to find the equation of circle having a center (4,1)  and tangent to the circle…

Q: The radius length of the circle with equation x – 12x + y² – 4y=9 is:< A 20 D E 40

A: The equation of the circle is                                                       x2-12x+y2-4y=9

Q: For the circle ( x+3)2+(y-2) 2=16 ,find the intercepts,if any,of its graph

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Q: Find the standard form for the equation of a circle (x−h)^2+(y−k)^2=r^2 with a diameter that has…

A: *Standard form of circle. (x-h)2+y-k2=r2 here (h, k) is a diameter and r is the radius. Given:…

Q: Find the area of the circle whose equation is x^(2) + y^(2) + (-4x) + 6y -3 = 0

A: We have to find the area of the circle.

Q: Find the standard form for the equation of a circle (x – h)' + (y – k)² = r with a diameter that has…

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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: what is the standard equation for the circle that is given in the general form? x2+y2+4x+6y-36=0

A: According to the problem, we have

Q: The radius of the circle with the given equation x² + y² – 14x +4y = 11 is

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Q: The radius of the circle x2+y2=9 is 3.

A: Consider the given circle as x2+y2=9

Q: Find the standard form for the equation of a circle (2 – h)' + (y – k) = r² with a diameter that has…

A: To find the standard form for the equation of circle  Given the diameter that has endpoints (-10,…

Q: ind the equation of the circle that circumscribes the triangle whose sides are formed by the lines…

A: Definition used -     For finding the center of the circumcircle, First, we have to find the…

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

A: Given that, the equation is   x2+y2+4y -117 = 0  To Find the standard equation of the circle

Q: Given the following equation of a circle: x² + y² +8x– 2y–8 =0

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

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Q: Draw a circle with an equation of x2+4x+y2−4y=1.

A: Given,

Q: htre of the circle x +y -4x-2y-3 = 0. Find

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Q: The area of the upper half of the circle whose equation is (x – 1)? + y? = 1 is given by

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Q: Find the equation of the circle with center on the y-axis and has y-intercepts at 7 and 1.

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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 standard form for the equation of a circle (* – k)° + (y – k)² = r² with a diameter that…

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Q: Find the point (x,y) on the unit circle that corresponds to the real number t. 4. t= n/2

A: Given: t=π2

Q: Find the equation of the circle, if the center of the circle of radius 3 lies on the line x + 2y = 4…

A: Let the center of the circle is (h, k). If its center passing through the line x + 2y = 4, then h+…

Q: The center of a circle lies on the line y= 4x +1 and is tangent to the x-axis at (-3,0). What is the…

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

Q: Find the point (x, y) on the unit circle that corresponds to the real number t. t = 71/4 (x, y) =

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Q: If the radius of the circle x2+y2-8x+10y+k=0 is 9. Then find the value of K

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Q: For the circle (x + 5)² + (y − 4)² = 49, find the intercepts, if any, of its graph.

A: Given equation is x+52+y-42=49.........(1) We know that the equation of circle is, x-h2+y-k2=a2…

Q: x²+y*+8x -6y + 24= U %3D

A: Explanation and solutions is given below....

Q: Find the equation of a circle r? +y² +ax+by+c=0 passing through the following points (-2, 1), (5, 0)…

A: Solution:-

Q: Find the standard form of the equation of the circle having the following properties: Center at the…

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Q: If y = 7x cuts the circle + y² = 50 at A and B. Find the coordinates of A and B.

A: Given line , y = 7x — 1and circle , x2 + y2 = 50 — 2

Q: find the other end of the diameter of circle x²+y²-8x-8y+27=0if one end of it is (2,3)

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Q: ont 9. x2 + y2 – 2x + 10y +1 = 0 10. x2 + y2 -6y - 4 0

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Q: Q1/ Find the standard equation of circle if a diameter has end points (2,0) & (0, 2 ).

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Q: Find the standard form for the equation of a circle (x - h)² + (y - k)² = p² with a diameter that…

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Q: Find the standard form for the equation of a circle (x-h)2+(y-k)2=r2 With a diameter that has…

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Q: Find the standard form for the equation of a circle (x - h) + (y – k) = r2 with a diameter that has…

A: Here we use distance formula and point formula Let us consider two points A (x1,y1) and B(x2,y2)…

Q: Given that the line y = 2x-k touches the circle x +y + 4x – 2 y = 4 , find the value of k.

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