Question

Find the coordinates of the point of intersection of the line x + y = 2 with the circle x^2 +y^2 =4

Answer 1

If you see, the equation $x^{2} + y^{2} =2$ is a circle of radius 2 units. So you can conclude that it passes through (0,2) (2,0) (-2,0) (0,-2). And the other equation $x+y=2$ is a straight line passing through (0,2) and (2,0). You can say this by substituting 0 in x and y respectively. Hence both the circle and the line meet at (0,2) and (2,0)