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What is the equation of the circle with center 0 0 that passes through the point 5 4?

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What is the equation of the circle with center 0 0 that passes through the point 5 4?

x^2+y^2–10x+8y=0 is the equation of the circle. Center of the circle is O(0,0) which passes through a point A(5,-4). Radius of the circle = r = OA = √{(0–5)^2+(0+4)^2} = √41. or, (x-0)^2+(y-0)^2 = (√41)^2.

What is the equation of a circle passing through?

We will learn how to form the equation of a circle passes through the origin. The equation of a circle with centre at (h, k) and radius equal to a, is (x – h)2 + (y – k)2 = a2.

How do you find the equation of a circle with center 0 0?

If the centre is (0, 0), the equation of the circle will be of the form x2 + y2 = r2.

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Which of the following is an equation of the circle with its center at 0 0 that passes through 3 4 in the standard XY coordinate plane?

Which of the following is an equation of the circle with its center at (0,0) that passes through (3,4) in the standard (x,y) coordinate plane? The correct answer is K. The radius of the circle is the distance between (0,0) and (3,4), which is √((3-0)2+ (4-0)2) = 5.

What is the equation of the ellipse with the foci 26?

Given the major axis is 26 and foci are (± 5,0). Here the foci are on the x-axis, so the major axis is along the x-axis. So the equation of the ellipse is x 2 /a 2 + y 2 /b 2 = 1 2a = 26

How do you find the director circle of an ellipse?

⇒ The radius of the director circle is a 2 + b 2. x 2 + y 2 = a 2 + b 2. In case the centre of the ellipse is not at the origin but is at ( h, k), then the equation of the director circle of an ellipse would be ( x − h) 2 + ( y − k) 2 = a 2 + b 2. Is a director circle of a parabola possible?

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How to find the final equation of the ellipse?

Simplify to find the final equation of the ellipse. Tap for more steps… Multiply − 1 – 1 by 1 1. Raise 4 4 to the power of 2 2.

How to find the equation of a circle using circle calculator?

The procedure to use the equation of a circle calculator is as follows: Step 1: Enter the circle centre and radius in the respective input field Step 2: Now click the button “Find Equation of Circle” to get the equation Step 3: Finally, the equation of a circle of a given input will be displayed in the new window

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