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If, in the binomial expansion of $(a - b)^{n}, n \geq 5$ he sum of 5th and 6th term is zero, then value of $\frac{a}{b}$ is

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n−56

6n−4

n−45

5n−4

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detailed solution

Correct option is C

nC4an−4(−b)4+nC5an−5(−b)5=0⇒nC4an−4b4=nC5an−5b5⇒an−4b4an−5b5= nC5 nC4⇒ab=n−45

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If, in the binomial expansion of (a−b)n,n≥5 he sum of 5th and 6th term is zero, then value of ab is

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If, in the binomial expansion of $(a - b)^{n}, n \geq 5$ he sum of 5th and 6th term is zero, then value of $\frac{a}{b}$ is