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The three points $((a + b) (a + 2 b), (a + b)), ((a + 2 b) (a + 3 b), (a + 2 b)) and ((a + 3 b) (a + 4 b), (a + 3 b))$

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Are collinear

Form a triangle whose area is independent of a

Form a triangle whose area is independent of b

Form a triangle whose area is independent of a, b

answer is B.

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Detailed Solution

$|\begin{array}{lll} (a + b) (a + 2 b) (a + b) 1 \\ (a + 2 b) (a + 3 b) (a + 2 b) 1 \\ (a + 3 b) (a + 4 b) (a + 3 b) 1 \end{array}| = 2 b^{3}$

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