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The number of integers satisfying the inequation `|x-1|le[(sqrt(2)+1)^(6)+(sqrt(2)-1)^(6)]` where `[.]` denotes greatest integer function is greater than and equal to :A. `198`B. `396`C. `397`D. `398` |
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Answer» Correct Answer - A::B::C The number of ……….. Using binomial theorem, `(sqrt(2)+1)^(6)+(sqrt(2)-1)^(6) = 198` Hence `|x-1|le198` `implies x-1 epsilon [-198, 198]` `implies x epsilon [-197, 199]` , `:. 397` |
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