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CBSE Class 11-science Answered

I f space t h e space t e r m space f r e e space f r o m space x space i n space t h e space e x p a n s i o n space o f space left parenthesis square root of x minus k over x squared right parenthesis to the power of 10 space i s space 405 comma space f i n d space t h e space v a l u e space o f space k ?Please provide solution to this question
Asked by Topperlearning User | 08 Oct, 2016, 02:54: PM
answered-by-expert Expert Answer

L e t space left parenthesis r plus 1 right parenthesis to the power of t h end exponent space t e r m space b e space t h e space f r e e space t e r m space t h e n T subscript r plus 1 end subscript equals C presuperscript 10 subscript r x to the power of r over 2 end exponent open parentheses fraction numerator negative k over denominator x squared end fraction close parentheses to the power of 10 minus r end exponent f o r space T subscript r plus 1 space end subscript t o space b e space i n d e p e n d e n t space o f space x comma space p o w e r space o f space x space s h o u l d space b e space 0 space s o r over 2 minus left parenthesis 20 minus 2 r right parenthesis equals 0 5 r equals 40 r equals 8 T subscript 9 equals C presuperscript 10 subscript 8 k squared equals 405 fraction numerator 10.9 over denominator 2 end fraction k squared equals 405 k squared equals 810 over 90 k equals plus-or-minus 3

Answered by | 08 Oct, 2016, 04:54: PM

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