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If $f (x) = |\begin{array}{ccc} 1 & x & (x + 1) \\ 2 x & x (x - 1) & (x + 1) x \\ 3 x (x - 1) & x (x - 1) (x - 2) & x (x - 1) (x + 1) \end{array}|$ then $f (50) + f (51) + \dots \dots + f (99)$ is equal to

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Correct option is A

Applying C3→C3-(C1+C2) we get f(x)=0 for all x.

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If f(x)=1x(x+1)2xx(x−1)(x+1)x3x(x−1)x(x−1)(x−2)x(x−1)(x+1) then f(50)+f(51)+……+f(99) is equal to

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If $f (x) = |\begin{array}{ccc} 1 & x & (x + 1) \\ 2 x & x (x - 1) & (x + 1) x \\ 3 x (x - 1) & x (x - 1) (x - 2) & x (x - 1) (x + 1) \end{array}|$ then $f (50) + f (51) + \dots \dots + f (99)$ is equal to