Find the equations of the tangent lines to x2+y2=1 at x=0, x=1 and x=35.
       
      
                
     
    
    
    
    
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Assuming the equation is x^2 + y^2 = 1, then that's a circle, with radius 1, centered on the origin [0,0].
So there are two tangents at x = 0. They are y = 1, and y = -1 (horizontal lines).
There is one tangent at x = 1. It is x = 1 (a vertical line).
There is no tangent at x = 35, because the original equation has no solution at x = 35.
                                
             
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