What is the equation of circle which touches the lines x 0 y 0 and x 2?

What is the equation of a circle which touches the lines x=0, y=0 and x=2? The diameter of the circle is 2 (2–0 = 2) and so its radius is 1. The coordinates of the center has to be (1,1). The equation of the circle is thus (x-1)^2 +(y-1)^2 = 1.

How do you find the equation of a circle touching the X axis?

We will learn how to find the equation of a circle touches x-axis. The equation of a circle with centre at (h, k) and radius equal to a, is (x – h)2 + (y – k)2 = a2. When the circle touches x-axis i.e., k = a.

What is the equation of a circle at 0 0?

Distance between (0,0) and (x, y) equals the radius, r. If the centre is (0, 0), the equation of the circle will be of the form x2 + y2 = r2.

What is X and Y in the equation of a circle?

The general equation for a circle is (x – h)² + (y – k)² = r², where (h, k) represents the center of the circle, r is the radius, and x and y form the coordinates of all the points on the circle’s perimeter.

What is the equation of a circle whose center is at 0 0 and diameter of 8?

x2+y2=8.

Can a circle have radius 0?

In various high school textbooks, when the radius of a circle is zero, it is said that it is a degenerate circle of zero radius. That means we’re looking at a circumference of zero radius. Consequently, only one point belongs to the circumference, which is the centre.

How do you write an equation in general form of a circle?

The general form of the equation of circle is: x2 + y2 + 2gx + 2fy + c = 0. This general form is used to find the coordinates of the center of the circle and the radius of the circle. Here, c is a constant term, and the equation having c value represents a circle that is not passing through the origin.

What is the equation of circle touching X?

Equation of circle touching x = 0,y = 0 & x= 4 Centre (2,2) & Radius = 2 Equation of circle is (x−a)2 +(y −b)2 = r2 ⇒ (x−2)2 +(y−2)2 =(2)2 x2 +y2 +8−4x−4y = 4 x2 +y2 −4x−4y = −4 x2 +y2 −4x−4y+4 = 0

How do you know if an equation is the equation of circle?

How do we know if an equation is the equation of circle? If x and y are squared and the coefficient of x 2 and y 2 are same, then it is equation of circle. For example, 3x 2 +3y 2 = 12 is a circle’s equation.

How do you find the angle of a circle using parametric equations?

We take a general point on the boundary of the circle, say (x, y). The line joining this general point and the center of the circle (-h, -k) makes an angle of θ θ. The parametric equation of circle can be written as x 2 + y 2 + 2hx + 2ky + C = 0 where x = -h + rcosθ and y = -k + rsinθ.

What is the formula to find the radius of a circle?

Therefore, the radius of a circle is CP. By using distance formula, (x-h) 2 + (y-k) 2 = CP 2. Let radius be ‘a’. Therefore, the equation of the circle with centre (h, k) and the radius ‘ a’ is, (x-h) 2 +(y-k) 2 = a 2. which is called the standard form for the equation of a circle. Equation of a Circle in General Form

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