Q.
The coefficient of x−10inx2−1x310, is
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a
-252
b
210
c
-5!
d
-120
answer is B.
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Detailed Solution
Let Tr+1 be the (r+1)th term in the expansion of x2−1x310Then, Tr+1=10Crx20−5r(−1)rThis will contain x−10, if 20−5r=−10⇒r=6∴ Coefficient of x−10=10C6(−1)6=10C6=210
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