QJEEM07Madf29: JEE Main 2007 Mathematics - Class 12 JEEM07Madf29 Solution: In the binomial expansion of ( a − b ) n , n ≥ 5 , the sum of 5 …

Question

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In the binomial expansion of

{(a - b)}^{n}, n \geq 5,

the sum of

5^{t h}

and

6^{t h}

terms is zero, then

a / b

equals

Accepted Answer

According to the question,

t₅ + t₆ = 0

∴

^{n} C_{4} . a^{n - 4} . b^{4}

+

(-^{n} C_{5} . a^{n - 5} . b^{5})

= 0

By solving we get,

\frac{a}{b} = \frac{n - 4}{5}

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