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Let ABCD be a tetrahedron, where A= (2,0,0), B = (0,4,0). If edge CD lies on line x -1/1 = y - 2/2 =  z - 3/3 , such that centriod (α,β,γ)  of tetrahedron satisfies 2α - 5/2/1 = β - y1/a = y - z1/b then which of the following are CORRECT?

(A) a + b = 5/2

 (B)  y1 + z1 = 19/4

(C)  y1 - z = 1/4

 (D) a + b + y1 = 5

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Correct option (A)(B)(C)(D)


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