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1. Find the radius of curvature at a point where the ordinate is minimum for the curve x^3 =y(x-a)^2?

2. Find the evolute of x=a(cost+log tan(t/2)) and y=asint ?

3. Find the equation of the cubic having x=0, y=0 and x+y=1 as asymptotes and cutting the asymptotes in three points where they intersect the line x-y=2 and passes through the point (1,1)?

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