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Find the rth term in the expansion of (x+1x)2r - Mathematics

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प्रश्न

Find the rth term in the expansion of `(x + 1/x)^(2r)`

योग
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उत्तर

We have Tr = `""^(2r)"C"_(r - 1)   (x)^(2r - r + 1) (1/x)^(2r)`.

= `(2r)/((r - 1)(r + 1)) x^(r + 1 - r + 1)`

= `(2r)/((r - 1)(r + 1)) x^2`

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अध्याय 8: Binomial Theorem - Solved Examples [पृष्ठ १३२]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 8 Binomial Theorem
Solved Examples | Q 1 | पृष्ठ १३२

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