Find the coordinates of the points where a circle of radius root2 centered on the point with coordinates(1,1) cut the axes? Share with your friends Share 1 Varun Rawat answered this The equation of the circle having the centre at h,k and radius r units isx-h2 + y-k2 = r2Now, equation of the circle having centre at 1,1 and radius 2 units isx - 12 + y-12 = 2Put x = 0 in the above equation, we get 1 + y-12 = 2⇒y-12 = 1⇒y-1 = 1 or y - 1 = -1⇒y = 2 or y = 0So, circle cut the y-axis at 0,2.It also passes through the origin 0,0.Put y = 0 in the above equation, we get 1 + x-12 = 2⇒x-12 = 1⇒x-1 = 1 or x - 1 = -1⇒x = 2 or x = 0So, circle cut the y-axis at 2,0.It also passes through the origin 0,0 0 View Full Answer
