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Find the equations of the tangent and normal to the parabola y^ 2 = 4ax at the point (at^2 , 2at).

Given: Equation of the parabola  ……….(i)

  Slope of the tangent at 

 

 

 Slope of the tangent at the point  = 

 Slope of the normal = 

 Equation of the tangent at the point 

 

 

And Equation of the normal at the point