मराठी

Find the middle term (terms) in the expansion of (px+xp)9.

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प्रश्न

Find the middle term (terms) in the expansion of `(p/x + x/p)^9`.

बेरीज
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उत्तर

Since the power of binomial is odd.

Therefore, we have two middle terms which are 5th and 6th terms.

These are given by

T5 = `""^9"C"_4 (p/x)^5 (x/p)^4`

= `""^9"C"_4 p/x`

= `(126p)/x`

And T6 = `""^9"C"_5 (p/x)^4 (x/p)^5`

= `""^9"C"_5 x/p`

= `(126x)/p`

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पाठ 8: Binomial Theorem - Solved Examples [पृष्ठ १३५]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 11
पाठ 8 Binomial Theorem
Solved Examples | Q 9 | पृष्ठ १३५

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