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Circle problem

  • The line joining points A(4, -2) and B(-4, 2) is a diameter of a circle. Find an equation for the circle.
  • Find an equation for the line which is a tangent to the circle at point A.
  • Find the exact area enclosed between the line and the coordinate axes outside of the circle.
  • The tangent is translated by 5 units in the positive y-direction. Given that the new line intersects the circle at points C and D, find the distance |CD|.