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Find the equations of tangents and normals to the circle x2 + y2 = 8 at (2, 2).

Mathematics

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1. Find the equations of tangents and normals to the following circles:

  • a) Circle: x2+y2=8x^2 + y^2 = 8 at (2,2)(2, 2)
  1. Identify the circle's center and radius.

    The circle $x^2 + y^2 = 8$ is centered at $(0,0)$ with $r^2 = 8$.  
    The point of tangency is $(x_1, y_1) = (2, 2)$.
    
  2. Find the equation of the tangent.

    The equation of the tangent to $x^2 + y^2 = r^2$ at $(x_
    
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