Home
Class 11
MATHS
If cot^(-1)((n^(2)-10n+21.6)/pi) gt pi/6...

If `cot^(-1)((n^(2)-10n+21.6)/pi) gt pi/6, n in N`, then n can be

A

3

B

2

C

4

D

8

Text Solution

Verified by Experts

The correct Answer is:
A, C
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - III) (MATRIX MATCHING TYPE QUESTIONS)|1 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - III) (LINKED COMPREHENSION TYPE QUESTIONS)|3 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - III) (STRAIGHT OBJECTIVE TYPE QUESTIONS)|23 Videos

  • HYPERBOLIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET EXERCISE-II (STRAIGHT OBJECTIVE TYPE QUESTIONS)|18 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

Similar Questions

Explore conceptually related problems

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

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

Match the following {:("Trigonometric equation","General solution"),(I.tan^(2)theta =1,(a)n pi pm pi//6","n in Z),(II.cos^(2)theta = 1//4,(b)n pi pm pi//4","n in Z),(III. sin^(2)theta =1//4,(c)n pi pm pi//3","n in Z),(IV.cosec^(2)theta=1,(d)n pi pm pi//2","n in Z),(,(e)n pi pm pi//8","n in Z):}

I : The solution of 7 sin^(2)x + 3 cos^(2)x=4 is {n pi pm pi//6 : n in Z} II : The solution of tan^(2)theta = 3 is {n pi pm pi//3 : n in Z}

A : The general solution of sin x = -1 is n pi + (-1)^(n)(3pi)/(2), n in Z R : The principal solution of sin x = 0 lies in [-pi//2, pi//2]

If n is integer and z = cis theta, ( theta ne ( 2n + 1) pi//2) , then show that (z ^(2n) -1)/(z^(2n) +1) = i tan n theta .

If (sin^(-1)x+sin^(-1)w)(sin^(-1)y+sin^(-1)z)=pi^(2) , then D=|(x^(N_(1)),y^(N_(2))),(z^(N_(3)),w^(N_(4)))|(N_(1),N_(2),N_(3),N_(4)inN)

If sum_(r=1)^(n) a_(r) = (n (n+1)(n+2) )/( 6) AA n ge 1 , then Lt_(n to oo) sum_(r=1)^(n) (1)/( a_r)=

Show that int_(0)^(oo) (dx)/((x+sqrt(1+x^(2)))^(n))=(n)/(n^(2)-1), (n in N, n gt 1)