Questions
The greatest value of the term independent of X, as varies over R, in the expansion of
a
20C10
b
20C15
c
20C19
d
None of these
detailed solution
Correct option is A
The general term in the expansion of xcosα+sinαx20 is 20Cr(xcosα)20−rsinαxr=20Crx20−2r(cosα)20−r(sinα)rFor this term to be independent of X ,we get20-2r=0 + r=10 Let β = Term independent of x=20C10(cos α)10 (sin α)10=20C10(cos α sin α )10=20C10 sin2α210Thus, the greatest possible value of β is 20C101210.Talk to our academic expert!
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lf a, b and c are the greatest values of respectively, the
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