The middle term in the expansion of (x2+1x)n is 924x6. If n is even, then n is equal to
A
10
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B
12
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C
24
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D
6
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Solution
The correct option is B12 Since n is even, ∴ The middle term =(n2+1)th term T(n/2+1)=nCn/2(x2)n/2(1x)n/2=nCn/2xn/2 ⇒T(n/2+1)=924x6 (given) ⇒xn/2=x6 ⇒n=12