The center of a circle has the coordinates (2-V2,3-V2). Show how there are no two points on the circle with both coordinates rational.

Q: Find the image of the circle x2 + y² = 4 under a dilation of factor 2 from the x-axis followed by a…

A: The dilation of a curve indicates the expansion or contraction of the curve. If a curve is dilated…

Q: Find the centre and radius of the circle 3x² +31²9x + 3y + 1 = 0.

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Q: find the center and radius of the circle x^2 + y^3 - 2x + 6y - 7=0

A: The given equation of the circle is x2+y2-2x+6y-7=0.

Q: Find an equation of the circle whose diameter has endpoints (-4,-3) and (6, 6).

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Q: Find an equation of the circle whose diameter has endpoints (-5,6) and (1,-2).

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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: Find the center and radius of the circle x2 + y2 - 10x + 4y + 20 = 0.

A: x2+y2-10x+4y+20=0 On simplification, we get…

Q: Which point is the center of the circle* 4x2 + 4y2 = 4y - 8x + 5? %3D

A: Given that: 4x2+4y2=4y-8x+5

Q: What is the center of the circle whose general form is given by: 2x2 + 2y? – 12x + 20y + 4 = 0 O…

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Q: Find the center of the circle whose endpoints of the diameter are (-2, 3) and 2' 2 (4.9) (-4,-2) O…

A: Topic = Geometry

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: Find an equation of the circle whose diameter has endpoints (-2,3) and (4,5).

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Q: Determine whether the point (1, -2) lie inside, out side, or on the circle x* +y -8x – 4y= 5.

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Q: Find an equation of the circle that has P (1, 4) and Q (–2, 7) as the endpoints of a diameter.

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Q: find The equation of the circle if its diameter has on end points of (6,1), (-2,3)

A: Solve by geometry

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 equation of the circle that has a diameter whose edpoints are the points A(-2,-5) and…

A: Find the equation of the circle that has a diameter whose endpoints are the points A(-2,-5) and…

Q: (3, 5) a (-1, 2) -2 1 2 3 4 -1

A: Here in this question given that a triangle and find its hypotenuse . Their are two points given…

Q: Write the equation of circle with the following characteristics: Center at (1,7) and the circle has…

A: Given:- center (1,7) and area lf circle is 25π  To find:- Equation of circle with given conditions

Q: Find the center and radius of a circle x+y2+2x+10y-4-0

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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: Find the equation of the circle if its diameter has an end points of (6, 1) and (-2, 3)

A: Suppose A6 , 1  and  B-2 ,3 be the endpoints of the diameter, O be the center and r be the radius of…

Q: Find the center and radius of the circle: x2 + y2 + 4x - 2y - 15 = 0

A: Given,x2+y2+4x-2y-15=0

Q: The radius of a circle defined by the equation x2 – 6x + y2 – 4 y – 12 = 0 is: 3.46 5.0 6.0 7.0

A: Convert to standard form(x-a)^2+(y-b)^2=r^2

Q: Find an equation of the circle whose diameter has endpoints (3,-2) and (-5,-4).

A: The endpoints of the diameter are : x1,y1 = 3,-2 x2,y2 = -5,-4 To evaluate : The equation of the…

Q: 5) Write the standard equation of the circle. -3 3x

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Q: find the center and the length of a radius of each circle. x2 + y2 = 32

A: The standard form of the equation of a circle is (x-h)2+(y-k)2=r2. In this form the center is at…

Q: Find the center and radius of the circle: x² + y² – 4x + 10y + 13 = 0

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Q: Find an equation of the circle whose diameter has endpoints (5, -6) and (3, 4). O=0

A: Equation of circle

Q: A circle has an area of A=36r and a center of (-4,0). What is the standard form equation of this…

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Q: find the center and the length of a radius of each circle. x2 + y2 - 16x + 30y = 0

A: Given: x2+y2-16x+30y=0

Q: The radius of a circle defined by the equation x2 – 6x + y² – 4 y – 12 = 0 is: А. 3.46 В. 5.0 С. 6.0…

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

A: The given circle equation is x2+y2=9

Q: The center of the circle (x-2)²+(x +5) = 9 is

A: given,        x-22+x+52=9

Q: Find an equation of the circle whose diameter has endpoints (2,3) and (-4,-1).

A: Two end points of the diameter are (2,3) and (—4,—1). So the centre of the circle should be the mid…

Q: Find the center and radius of the circle.x2+y2−10x−6x =−9

A: We will write the equation in standard form first. For that, we have to complete the square. We…

Q: The center of a circle lies on the line y= 6x +2 and is tangent to the x-axis at (-2,0). What is the…

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Q: Find the equation of the circle that has a diameter with endpoints (−8, 7) and (8, −3).

A: Given information:The diameter with endpoints is shown below:(−8, 7) and (8, −3)

Q: Find the radius of the circle 2x 2+2y 2=50

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Q: - Find the equation of the circle if its diameter has an end points of (6, 1) and (-2, 3)

A: The equation of the circle is, (x - 2)² + (y - 2)² = 17  The detailed solution is as follows:

Q: Find the center and the radius of the circle. x2+y2+4x-12y-9=0

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Q: find the center and the length of a radius of each circle. x2 + y2 = 12

A: Given equation of circle is x2+y2=12. To find the center and the length of a radius of each circle.…

Q: Find the centre and radius of the circle x2+y2-4x-6y-12=0

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Q: Determine the standard equation of the circle given the general equation.  4x² + 4y² + 32x - 56y +…

A: Given equation is: 4x2+4y2+32x-56y+251=0Divide by 4we getx2+y2+8x-14y=-2514Now, add 16 on bot…

Q: Find an equation of the circle whose diameter has endpoints (3, 6) and (-2, 2). O=0

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Q: Find an equation of the circle whose diameter has endpoints (-2, -3) and (4, 5).

A: We can write the equation of circle as below.

Q: find the center and the length of a radius for each circle. x2 + 16x + y2 + 39 = 0

A: x2 + 16x + y2 + 39 = 0The equation of the circle is (x-h)2+(y-k)2=r2        .....(1)Here,(h,k) are…

Q: find the center and the length of a radius of each circle. x2 + y2 - 2x - 6y - 6 = 0

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Q: find the center and the length of a radius of each circle. x2 + y2 = 10

A: The standard form of equation of circle is x-h2+y-k2=r2 , where h,k is the center of the circle and…

Q: Find an equation of the circle whose diameter has endpoints (-1, 4) and (3,-2).

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