Is it possible to construct a sphere that pass through the following points? (a) {(0,1, 2,...

 

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Is it possible to construct a sphere that pass through the following points? (a) {(0,1, 2, ), (3, 4, 5), (6,7,8), (9, 10, 11)} (b) {(0,1,–2), (1,3, 1), (2, –1,0), (3, 1, –1)} If possible, find the equation of the spheres and hence reduce the equation in standard form. If not, explain the reason. Is it possible to construct a sphere that pass through the following points? (a) {(0,1, 2, ), (3, 4, 5), (6,7,8), (9, 10, 11)} (b) {(0,1,–2), (1,3, 1), (2, –1,0), (3, 1, –1)} If possible, find the equation of the spheres and hence reduce the equation in standard form. If not, explain the reason.