Q.

In the binomial expansion of (a-b)n,n≥5, the sum of 5th and 6th terms is zero, then a/b equals

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a

5n−4

b

6n−5

c

n-56

d

n-45

answer is D.

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Detailed Solution

Given T5+T6=0⇒C4   nan-4 b4-C5   nan-5 b5=0⇒C4   nan-4 b4=C5   nan-5 b5⇒an-4 b4an-5 b5=C5   nC4   n⇒ab=n-5+15⇒ab=n-45
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In the binomial expansion of (a-b)n,n≥5, the sum of 5th and 6th terms is zero, then a/b equals