WebFind the equation of the circle which touches the both axes in first quadrant and whose radius is a A x 2+y 2−2ax−2ay+a 2=0 B x 2+y 2−2ax+2ay−a 2=0 C x 2+y 2+2ax−2ay+a 2=0 D none of the above Medium Solution Verified by Toppr Correct option is A) Given, ⇒ circle of radius a touches both axis in 1 st quadrant so its centre will be (a,a). WebThe equation of a circle with radius 5 and touching both die coordinate axes is. Q. The equation of the circle of radius 5 and touching the coordinate axes in third quadrant is. Q. The equation(s) of the circle(s) having radius 5, centre on the line y = x and touching both the coordinate axes is(are)
The equation of a circle with radius 5 and touching both …
WebStep 1: Note down the coordinates of the center of the circle (x 1 1, y 1 1) and the radius 'r'. Step 2: Apply the equation of circle formula, √(x−x1)2 +(y −y1)2 = r ( x − x 1) 2 + ( y − y 1) 2 = r. Step 3: Express the answer in the required circle equation form. Equation of Circle With Center at the Origin WebNow the center of the circle (𝑥₁, 𝑦₁) is simply (0, 0). Plugging this all into the formula gives us: 𝑟 = 5 Now I gave you a very long explanation but with intuition, you should've been able to realize that, centered at the origin and ending at 𝑥 = … daikin united states warranty registration
The equation of the circle passing through (2,1) and …
WebThe given radius of the circle is 5 units, i.e. a = 5. Thus, the equation of the circle is x 2 + y 2 + 10 x + 10 y + 25 = 0. Case IV: If the circle lies in the fourth quadrant: The equation of a … WebFinding the equation of circle, Given the radius of the circle is a and the circle touches both the axis. Visualizing the given information: We see that the coordinates of the … WebThe equation of a circle that touches both the coordinate axes and has radius a is x 2 + y 2 − 2 a x + 2 a y + a 2 = 0. The given radius of the circle is 5 units, i.e. a = 5. Thus, the equation of the circle is x 2 + y 2 − 10 x + 10 y + 25 = 0. Hence, the required equation of the circle is x 2 + y 2 ± 10x ± 10y + 25 = 0. daikin uayq90cy1a installation manual