Find the equation x2 + y2 + Dx + Ey + F = 0 of the circle that passes through the points. To verify your result, use a graphing utility to plot the points and graph the circle. (0, 0), (0, –2), (3, 0)

Q: The equation of a circle of radius 2 centered at the point (2,-3) is:

A: Please refer the attached image for complete solution.

Q: What is the equation of the circle with center (-1,-2) and passes through the point (6, 4)?…

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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…

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Q: Find the equation of the circle whose centre is at the point (1, -1) and which passes through the…

A: Given : circle whose center is at the point 1, -1 which passes through the point 4, 3 To find :…

Q: Find the exact length of the curve. y = 2 + 2x3/2, 0sx<1 Need Help? Watch It

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Q: Find the equation of the circle that passes through (1, 0) and (0, 1) and is tangent to the x-

A: Here we have to find the equation of the circle that passes through (1, 0) and (0, 1) and istangent…

Q: Find the equation of the line tangent to the circle x + y + 6x - 2y - 15 = 0 at the point (1,-2).

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Q: Solve for x. Point C is the center of the circle. x° 116°

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Q: Find the standard form of the equation of the circle with center (- 5,5) and tangent to the line y =…

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Q: what is the equation of the circle passing through the (x y) points (0 0) (0 6) and (-6 0)

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Q: (b) . Find the equation of the circle passing through the points (2,1), (0,5) and (-1,2).

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Q: The equation of a circle in general form is +y² – 4x+5y-3=0. What are the coordinates of the center…

A: We can find the center and radius of the circle as below  by comparing them with the general…

Q: Determine how they can calculate the y-coordinate of the point P. (No Need to calculate at this…

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Q: Write an equation and sketch this graph: The cylinder of radius 2 centered on the line through the…

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Q: Find the center-radius form of the equation of the circle. 21) center (-/3, -7), radius 3 A) (x -…

A: Here we will find the equation of circle in centre-radius form,

Q: find center verticals, foci and sketch its graph 2x2+3xy-4y2-3y+1=0

A: We are given : 2x2+3xy-4y2-3y+1=0 Plotting the graph, we have : This graph is a Hyperbola.

Q: Find the rectangular coordinates of the point P-). x-coordinate of P y coordinate of P(- )- 3

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Q: b) Express the equation of a circle 3x2 +3y2 + 42x = 12y - 111 in standard form. Then, identify and…

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Q: Find the coordinates of the point on the graph of y = Vx that is closest to the point (20, 0). Write…

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Q: What is the equation of a circle with center (2, 3) that passes through the point (5, 3)?…

A: First find the radius of the circle than using centre and radius write the equation.

Q: What is the equation for the circle with the center point M (-2,3) and tangent to the line…

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Q: Find the equation for the circle centered at point M (-2,3) and tangent to the line 20x -21y -42 = 0

A: We will find the radius of circle.

Q: 8. In general, if the line y = mx + b is rotated 90° about a point (x, mx + b), explain how you can…

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Q: Q2/ Find the equation of the circle tangent to the lines, y -2x+3, y = - 2x+7, y=+ and y =+

A: In the above question we have to find the equation of the circle at the tangents -  y= -2x+3 ; y =…

Q: Find the equation of the circle inscribed in the triangle formed by the lines, x + 2y - 5 = 0, 2x –…

A: Please see the answer below

Q: Find equation of the circle (in general form) that satisifes the given condition: With center on…

A: find the equation of circle using given information.

Q: Find the distance between the points of intersection of the graphs y = x² + 2 and y = 11. %3D

A: Given y = x2+2y = 11

Q: (i) Find the equation of the circle passing through (0,0) and making intercepts 4,3 on X-axis and…

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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 a line tangent to the circle x² + y² + 2x – 4y – 31 = 0 at the point (5,2).…

A: Given: The equation of the circle is  x2+y2+2x-4y-31=0   To determine: The equation of a line…

Q: Find the exact length of the curve. X √(y - 3), 16 ≤ y ≤ 25

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Q: Find the points on the curve y 13x closest to the point (0, 5). )and (

A: Topic:- point  on the curve

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: A circle with center at (5,6) touches x-axis. What is the equation of the circle?

A: For the solution of the problem follow the next step.

Q: Find the equation of (i) A circle passing through the points (2, 1), (0, 2) and (1,0).

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Q: Write the equation of a circle with center (15. 12) and radius 3V6. x+ 15) • (y • 12 = 54 x - 15 +…

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Q: Equation of the circle with center (-4, 9) and radius 8 is

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Q: 2. Find an equation for the circle that has center(-1,4) and passes through the point (3,-2)

A: circle that has center(-1,4) and passes through the point (3,-2). Now radius is the distance between…

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: 4. In general, if the line y is rotated 90° about (0, 0), explain how you can find the equation of…

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Q: 2) Write the equation of a circle centered at (-2, 6) and passes through the point (4,2).

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 3. equation of a circle with Center C(15, – 25) and radius r = 16.

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Q: Vrite the equation of the circle centered at ( 3, 3) with radius 10.

A: Given: Center=(-3,3)    Radius =10.

Q: The circle x²+y²=9 has its center at the origin? True or false?

A: x²+y²=9

Q: Find the standard equation of the circle whose center is on the line y = 3x - 3 and this circle cuts…

A: We 1st assume the standard equation of circle and use the given conditions to derive the require…

Q: The point is located on the x-axis, 12 units in front of the yz-plane. Find the coordinates of the…

A: The point is located on the x-axis. Hence, y=0 and z=0. The point is located 12 units in front of…

Q: Find the coordinates of the point graph of y = Vx that is closest to the point (4, 0). Write the…

A: Given: y=x

Q: find the standard form of the equation of the circle with center(-6,5) and tangent to the line y=3

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Q: Find the equation of a circle r² +y²+ax+by+c=0 passing throug) following points (-2, 1), (5, 0) and…

A: each point lies on the circle then put all point in the equation of the circle then we get a 3…

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

A: As the tangent at (-3,0) is x axis, then the normal at (-3,0) passes through the centre of circle.