Questions
In the expansion of , the term not containing x is
a
∑r=05 11Cr11−rC2r7r
b
∑r=15 11Cr11−rC11−2r7r
c
∑r=05 11Cr11−rC11−2r7r
d
∑r=15r c 11
detailed solution
Correct option is C
1+x+7x11=7+x+x2x11So, we have to find the coefficient of x11 in 7+x+x211Now 7+x+x211 =(7+x)+x211=11C0(7+x)11+11C1(7+x)10x2+11C2(7+x)9x4…+… ∴ Required coefficient =11C0+i1C1×10C9×7+11C2×9C7×72+11C3×8C5×73+11C4×7C3×74+11C5×6C1×75 =∑r=05 11Cr11−rC11−2r7rTalk to our academic expert!
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lf the term independent of x in the expansion of is k, then 18k is equal to
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