If The Tangent At (1, 1) On y2 = x(2 – x)2 meets The Curve Again At P, is

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Question

If the tangent at (1, 1) on y2 = x(2 – x)2 meets the curve again at P, is

Solution

Correct option is

(9/4, 3/8)

                

Therefore, the equation of tangent at (1, 1) is

                  

                       

The intersection of the tangent and the curve is given by

             

  

  

Since x = 1 is already the point of tangency, x = 9/4 and

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