Home
Class 12
MATHS
Q. if cot^-1(n/pi)>pi/6,n in N, then the...

Q. if `cot^-1(n/pi)>pi/6`,`n in N`, then the maximum value of 'n' is

A

A. 6

B

B. 7

C

C. 5

D

D. none of these

Text Solution

Verified by Experts

`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
Promotional Banner

Similar Questions

Explore conceptually related problems

If cot^(-1)(n/pi)>pi/6,n in N , then the maximum value of n is 6 (b) 7 (c) 5 (d) none of these

If cot^(-1)(n)/(pi)>(pi)/(6),n in N, then the maximum value of n is 6(b)7 (c) 5 (d) none of these

If "cot"^(-1)n/(pi)gt(pi)/6n in N then the maximum value of n is

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

If cot^(-1)n/pi>pi/6,n in N , then the maximum value of n is (a) 6 (b) 7 (c) 5 (d) none of these

If cot^(-1)n/pi>pi/6,n in N , then the maximum value of n is 6 (b) 7 (c) 5 (d) none of these

If cot^(-1)n/pi>pi/6,n in N , then the maximum value of n is 6 (b) 7 (c) 5 (d) none of these

If cot^(-1)(n)/(pi)lt(pi)/(6),ninN then find the maximum value of n

If cot^(-1)(n/(pi))lt(pi)/(6),ninN then find the minimum value of n