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DEPARTMENT OF MATHEMATICS & AS, MAD 1181 – ALGEBRA AND DIFFERENTIAL CALCULUS, MODULE III – DIFFERENTIAL GEOMETRY, Find the radius of curvature of the curve at t = 1., Find the radius of curvature of the curve x = ct, y = c/t, Find the radius of curvature at the point on the curve ., Show that the measure of curvature of the curve at any point on it is ., Find the radius of curvature of the curve x = a cos3θ, y = a sin3θ, Find the equation of circle of curvature of the following:, (i) at the point ., (ii) at the point ., (iii) at the point ., Find the Evolute of the following curves:, (i) , (ii) , (iii), Find the envelope of the following family of curves, , m being parameter, , where is the parameter., , m being parameter, , m being parameter, *******