\( A, B \) and \( C \) are points in the \( x y \)-plane such that \( A(1,2) ; B(5,6) \) and \( ...

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\( A, B \) and \( C \) are points in the \( x y \)-plane such that \( A(1,2) ; B(5,6) \) and \( A C=3 B C \). Then :
(a) \( A B C \) is a unique triangle
(b) There can be only two such triangles.
(c) No such triangle is possible
(d) There can be infinite number of such triangles.
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