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If 6Sin^(-1)(x^(2)-6x+12)=2pi, then the ...

If `6Sin^(-1)(x^(2)-6x+12)=2pi`, then the value of x, is

A

1

B

2

C

3

D

Does not exist

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-INVERSET TRIGONOMETRIC FUNCTIONS-PRACTICE SHEET (EXERCISE-II LEVEL-III LEVEL -I (MAIN) SINGLE ANSWER ANSWER TYPE QUESTIONS)
  1. If 6Sin^(-1)(x^(2)-6x+12)=2pi, then the value of x, is

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  2. If cos^(-1)x+Cos^(-1)y=(pi)/2 and Tan^(-1)x-Tan^(-1)y=0 then x^(2)+xy+...

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  3. "tan"^(-1)(5/12)+sin^(-1)(24/25)=cos^(-1)(x) implies x=

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  4. The equation 2Cos^(-1)x+Sin^(-1)x=(11pi)/6 has

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  5. If Tan^(-1)x+Tan^(-1)y+Tan^(-1)z=(pi)/2 and (x-y)^(2)+(y-z)^(2)+(z-x)^...

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  6. If x(3-x) ge 2" then "Sin^(-1)(x)+Sin^(-1)(x^(2))+……..+Sin^(-1)(x^(10)...

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  7. If tan^(-1)x+2cot^(-1)x=(2pi)/3, then x is equal to

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  8. The value of x where x gt0 and tan("sec"^(-1)1/x)=sin(tan^(-1)2) is

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  9. Number of solutions of the equation cos^(-1)(1-x)-2cos^(-1)x=pi/2 is

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  10. If "Cos"^(-1)x/a+"Cos"^(-1)y/b=(5pi)/12 and "Sin"^(-1)x/a-"Sin"^(-1)y/...

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  11. If Cos^(-1)x gt Sin^(-1)x, then x belongs to the interval

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  12. The smallest and the largest values of tan^(-1)((1-x)/(1+x)),0lexle1 a...

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  13. For the equation Cos^(-1)x+Cos^(-1)2x+pi=0 the number of real solution...

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  14. The value of a for which ax^(2)+sin^(-1)(x^(2)-2x+2)+cos^(-1)(x^(2)-2x...

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  15. The exhaustive set of values of a for which a-cot^(-1)3x=2tan^(-1)3x+c...

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  16. If abs(cos^(-1)((1-x^(2))/(1+x^(2)))) lt pi/3, then

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  17. If log(2)x ge0 then log(1/(pi))(sin^(-1)((2x)/(1+x^(2)))+2Tan^(-1)x)=l...

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  18. The solution of the inequality (sec^(-1)x)^(2)-6sec^(-1)x+8 gt 0 is

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  19. Complete solution set of tan^(2)(sin^(-1)x) gt 1 is

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  20. For 0 lt theta lt 2 pi sin^(-1)(sin theta)gtcos^(-1)(sin theta) is tru...

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