If `cot^(-1)(n/(pi))>(pi)/6, n in N`, then the maximum value of n is :A. 6B. 7C. 5D. none of these

If `cot^(-1)(n/(pi))>(pi)/6, n in N`, then the maximum value of n is :

1.	If `cot^(-1)(n/(pi))>(pi)/6, n in N`, then the maximum value of n is :A. 6B. 7C. 5D. none of these
Answer» Correct Answer - C `cot^(-1).(n)/(pi) gt (pi)/(6)` or `(n)/(pi) lt cot.(pi)/(6)` [as `cot^(-1) x` is a decreasing function] or `(n)/(pi) lt sqrt3` or `n lt sqrt3pi` or `n lt 5.46` or maximum value of `n` is 5

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