Circle touching both axes and radius 5 is
WebJul 3, 2024 · The radius of the circle which touches the co-ordinate axes and the line 3x + 4y = 12 is (A) 1 (B) 2 (C) 3 (D) 6 jee jee mains 1 Answer +1 vote answered Jul 3, 2024 by Nakul (70.4k points) selected Jul 3, … WebJul 25, 2016 · The family of circles touching both the axes in any of the four quadrants is given by f(x, y, a) = x^2+y^2+-2ax+-2ay+a^2=0. If the radius is a, the center of the circle …
Circle touching both axes and radius 5 is
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WebThe equations of the circles, which touch both the axes and the line 4 x + 3 y = 1 2 and have centres in the first quadrant, are. This question has multiple correct options. A. ... The equation of the circle whose radius is 4, centre lies in the first quadrant and which touches x-axis and line ... 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 …
WebMar 30, 2024 · Ex 11.1, 12 (Method 1) Find the equation of the circle with radius 5 whose centre lies on x-axis and passes through the point (2, 3). We know that equation of … 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
WebThe equation of the circle which touches both the axis and whose radius is a, is: A x 2 + y 2 - 2 a x - 2 a y + a 2 = 0 B x 2 + y 2 + a x - a y - a 2 = 0 C x 2 + y 2 + 2 a x + 2 a y - a 2 = 0 D x 2 + y 2 - a x - a y + a 2 = 0 Solution The correct option is A x 2 + y 2 - 2 a x - 2 a y + a 2 = 0 Explanation for the correct option: WebFind the equation of a circle which touches both the axes and the line 3x−4y+8=0 and lies in the third quadrant. A x 2+y 2+4x+4y−4=0 B x 2+y 2−4x−4y+4=0 C x 2+y 2+4x+4y+4=0 …
WebFeb 12, 2024 · The equation of circle touching the coordinate axes is (x - a) 2 + (y - a) 2 = a 2, When the circle touches both x-axis and y-axis i.e., h = k = a. (x - a) 2 + (y - a) 2 = …
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 = … city board membersWebThe correct option is Bx2+y2±10x±10y+25 =0Case 1: If the circle lies in the quadrant:The equation of a circle that touches both the coordinate axes and has radius a … dick\\u0027s lafayette indianaWeb1 hour ago · Skiing technique, and performance are impacted by the interplay between ski and snow. The resulting deformation characteristics of the ski, both temporally and segmentally, are indicative of the unique multi-faceted nature of this process. Recently, a PyzoFlex® ski prototype was presented for measuring the local ski curvature … dick\u0027s knoxville tnWebEquation of the circle of the radius 5, and touching the co-ordinate axes in the third quadrant is A (x−5) 2+(y+5) 2=25 B (x+5) 2+(y+5) 2=25 C (x+4) 2+(y+4) 2=25 D (x+6) … city board of elections chicagoWebJun 13, 2024 · find equation of the circle touching both axes and passing through ( –9,8) asked Jun 13, 2024 in Mathematics by ShivamK (68.3k points) circles; jee; jee mains; ... The equation of the circle of radius 5 and touching the coordinates axes in third quadrant, is. asked Nov 22, 2024 in Circles by sumitAgrawal (82.2k points) dick\u0027s knob rabun county georgiaWebJul 25, 2016 · Explanation: If the radius is a, the center of the circle will be at ( ± a, ± a). The four pairs of signs is indicative of the quadrant in which the circle lies.. So, the equation is f (x,y,a) = (x ± a)2 +(y ± a)2 − a2 = x2 +y2 ± 2ax ± 2ay + a2 = 0. 'a' is the parameter. for this family of circles f (x, y, a) = 0.. Answer link dick\\u0027s lafayetteWebApr 2, 2024 · Given that circle lies in the First Quadrant and touches both the axes of coordinates. $ \therefore h = k = 2 $ The equation of the circle formed with Radius $ 2 $ units and value of $ h,k = 2 $ is $ {(x - 2)^2} + {(y - 2)^2} = {2^2}.....(1) $ Now, Let the radius of the required circle be $ R $ . $ \therefore $ Equation of Circle with ... city board of supervisors