Home
Class 12
MATHS
The solution set for [cot^-1x]^2 - 6[cot...

The solution set for `[cot^-1x]^2 - 6[cot^-1x] + 9 <= 0` is

A

`|(a)/(2) sin b|lt 1`

B

`|(a)/(2) sin b|le 1`

C

`|a sin b|le 1`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
a
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETIC EQUATIONS

    FIITJEE|Exercise MATCH THE COLUMN|5 Videos
  • TRIGONOMETIC EQUATIONS

    FIITJEE|Exercise NUMERICAL BASED|3 Videos
  • TRIGONOMETIC EQUATIONS

    FIITJEE|Exercise COMPREHENSIONS II|3 Videos
  • TRIGNOMETRIC RATIOS AND IDENTITIES

    FIITJEE|Exercise All Questions|1 Videos
  • VECTOR

    FIITJEE|Exercise NUMERICAL BASED|4 Videos

Similar Questions

Explore conceptually related problems

The solution set for [cot^(-1)x]^(2)-6[cot^(-1)x]+9<=0 is

Complete solution set of [cot^(-1)x]+2[tan^(-1)x]=0, where [] denotes the greatest integer function,is equal to (a) (0,cot1)(b)(0,tan1)(tan1,oo)(d)(cot1,tan1)

Knowledge Check

  • The solution set of inequality (tan^(-1)x)(cot^(-1)x)-(tan^(-1)x)(1+(x)/(2))-2cot^(-1)x+2(1+(pi)/(2))gtlim_(yrarr-oo)[sec^(-1)y-(pi)/(2)] is (where [ . ]denotes the G.I.F.)

    A
    `(tan1, tan2)`
    B
    `(-cot1, cot2)`
    C
    `(-tan1, tan2)`
    D
    `(-tan1, oo)`
  • Solution set of the inequality ( cot^(-1) x)^(2) - ( 5 cot^(-1) x) + 6 gt 0 is

    A
    `(cot 3, cot 2)`
    B
    `( - infty, cot 2) cup ( cot 2, infty)`
    C
    `( cot 2, infty)`
    D
    None of the above
  • The solution set of inequality ( cot^(-1) x) (tan^(-1) x) + (2 - pi/2) cot^(-1) x - 3 tan^(-1) x - 3 ( 2 - pi/2) gt 0 , is

    A
    `x in ( tan 2, tan 3) `
    B
    ` x in ( cot 3, cot 2) `
    C
    ` x in ( - infty, tan 2) cup ( tan 3, infty)`
    D
    `x in ( - infty, cot 3) cup ( cot 2, infty) `
  • Similar Questions

    Explore conceptually related problems

    The complete solution set of the inequality [cot^(-1)x]^(2)-6[cot^(-1)x]+9<=0 where [1] denotes greatest integer function,is

    The solution set of inequality (cot^(-1)x)(tan^(-1)x)+(2-(pi)/(2))cot^(-1)x-3tan^(-1)x-3(2-(pi)/(2))>0 is (a,b), then the value of cot ^(-1)a+cot^(-1)b is

    Solution set of inequality (cot^(-1)x)^(2)-5cot^(-1)x+6>0 is (A) (cot3,cot2)(B)(-oo,cot3)uu(cot2,oo)(C)(cot2,oo)(D) None of these

    The solution set of the inequality (tan^(-1)x cot^(-1)x)^(2)+5-5(tan^(-1)x)^(2)cot^(-1)x+(cot^(-1)x)^(2)-5cot^(-1)x+6(tan^(-1)x)^(2)+1lt0 is (m,n) ,the value of cot^(-1)m-cot^(-1)n is equal to (1) -1 (3) Zero

    cot(tan^(-1)x+cot^(-1)x)