The larger of \((a-1)^{50}+a^{50}\) and \((a+1)^{50}\) \(\text{______}\) . (\(a\) is some real number.)

- (A) may be either of the two. (Depends on \(a\).)
- (B) may be neither of the two. (Both may be equal.)
- (C) must be \((a-1)^{50}+a^{50}\)
- (D) must be \((a+1)^{50}\)

Enter your answer as a 4 digit string of 1s and 9s - 1 for correct option, 9 for wrong. Eg. 1199 indicates A and B are correct, C and D are incorrect. None, one or all may also be correct.

In case you are preparing for IIT JEE, you may want to try IIT JEE 1982 Mathematics Archives

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