Question: Question [2] [5+5] (a) Consider the maps a(x, y)= = X 5(x, y) = rty B(x.y) =Herty By calculating a + 82+(5 -=) , check

Question [2] [5+5] (a) Consider the maps a(x, y)= = X 5(x, y) = rty B(x.y) =Herty By calculating a" + 82+(5 -=) , check if a, 8, & lie on the sphere or not. What is the radius of the sphere if a, 8, 5 lie on it. Also determine a (0,0). 5(0,0). B(1,1). (b) Show that s is not natural parameter for the curve q(s) = =(cos ] s - 5 - sv1 - $2,1 - $2 + 1-$2,0)

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