A curve is given by the equations . If the tangent at where meets the curve again at , then is, where represents the greatest integer function
(3)
at
Also the point for is (2, 1)
Equation of tangent is
or (1)
This meets the curve whose Cartesian equation on eliminating by is
(2)
Solving (1) and (2), we get
Hence is (2,1) as given and is
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