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Question

If 4th term in the expansion of (2+38x)10 is numerically greatest term . Then the range of x is

A
[6421,2] [2,6421]
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B
[5321,2] [2,5321]
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C
[6421,1] [1,6421]
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D
[5321,1] [1,5321]
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Solution

The correct option is A [6421,2] [2,6421]
T4 is the numerically greatest term in the expansion of (2+ 38x)10
T4T31 and T5T41
∣ ∣ ∣ ∣ ∣10C327(38x)310C228(38x)2∣ ∣ ∣ ∣ ∣1
and ∣ ∣ ∣ ∣ ∣10C426(38x)410C327(38x)3∣ ∣ ∣ ∣ ∣1
11333x161 and 11443x161
|x|2 and |x|6421
2|x|(6421)
2x6421 or6421x2

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