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If cot^(-1)((n^2-10 n+21. 6)/pi)>pi/6, w...

If `cot^(-1)((n^2-10 n+21. 6)/pi)>pi/6,` where `x y<0` then the possible values of `z` is (are) 3 (b) 2 (c) 4 (d) 8

A

4

B

3

C

5

D

2

Text Solution

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The correct Answer is:
B
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AAKASH INSTITUTE-INVERSE TRIGONOMETRIC FUNCTIONS-ASSIGNMENT (SECTION - B)(OBJECTIVE TYPE QUESTIONS (ONE OPTION IS CORRECT))
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  7. cot^(-1)(sqrtcosalpha)-tan^(-1)(sqrt(cosalpha))=x, x, ge 0, then sin x...

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  8. If |cos^-1((1-x^2)/(1+x^2))| < pi/3, then x belongs to the interval

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  9. The set of values of x satisfying |sin^(- 1)x|lt|cos^(- 1)x|,is

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  10. Let f(x)=sec^-1(x-10)+cos^-1(10-x). Then range of f(x) is

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  11. Let f(x) = cosec^-1[1 + sin^2x], where [*] denotes the greatest intege...

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  13. The expression tan.(pi/4+1/2cos^(-1)x)+tan(pi/4-1/2cos^(-1)x) equals

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  14. The sum sum(k=1)^oocot^(-1)(2k^2) equals

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  15. The sum tan^(-1).(1)/(1+x+x^2)+tan^(-1).(1/(3+3x+x^2))+tan^(-1).(1/(7+...

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  16. The sum of the infinte series sin^(-1)(1/sqrt(2))+sin^(-1)((sqrt(2)-1)...

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  17. If cot^(-1)((n^2-10 n+21. 6)/pi)>pi/6, where x y<0 then the possible v...

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  18. The set of values of k for which x^2 - kx + sin^-1 (sin 4) > 0 for all...

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  19. Ifp > q >0a n dp r<-1<q r , then find the value of tan^(-1)(p-q)/(1+p ...

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  20. Number of solutions of the equation 2(sin^(-1)x^2)-sin^(-1)x-6=0 is

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