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If underset(i=1)overset(n)sum cos^(-1) a...

If `underset(i=1)overset(n)sum cos^(-1) alpha_(i)=0," then "underset(i=1)overset(n)sum alpha_(i)=`

A

no solution

B

`-n`

C

0

D

None of these

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The correct Answer is:
D
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Let x_(1) lt x_(2) lt x_(3) lt x_(4) lt x_(5) and y_(1) lt y_(2) lt y_(3) lt y_(4) lt y_(5) are in AP such that underset(I = 1)overset(5)(sum) x_(i) = underset(I = 1)overset(5)(sum) y_(i) = 25 and underset(I =1)overset(5)(II) x_(i) = underset(I = 1)overset(5)(II) y_(i) = 0 then |y_(5) - x_(5)|

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MOTION-INVERSE TRIGONOMETRIC FUNCTIONS-Section A: Domain, Range
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  5. Find the value of cot^(-1) [(sqrt(1-sinx)+sqrt(1+sinx))/(sqrt(1-sinx)-...

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  6. If sin^(-1)x + sin^(-1)y =(2pi)/3, then: cos^(-1)x +cos^(-1)y=

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  7. if tan ^-1 (( sqrt (1+x^2)-1)/x) = pi/45 then:

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  8. If 1/2 sin^(-1)((3sin2theta)/(5+4cos2theta))=(pi)/4, then tan theta is...

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  11. The equation sin^-1x-cos^-1x=cos^-1(sqrt3/2) has

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  13. The value of x satisfying sin^-1x + sin^-1(1– x ) = cos^1 x are

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  14. The number of solutions of the equation tan^(-1)(1+x)+tan^(-1)(1-x)=pi...

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  15. The number of real solutions of tan^(-1)sqrt(x(x+1))+sin^(-1)sqrt(x^2+...

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  16. The number of real solutions of tan^(-1)sqrt(x(x+1))+sin^(-1)sqrt(x^2+...

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  17. If cot^(-1)n/pi>pi/6,n in N , then the maximum value of n is 6 (b) ...

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  18. Which one of the following correct?

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  19. If underset(i=1)overset(n)sum cos^(-1) alpha(i)=0," then "underset(i=1...

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  20. If sum(i=1)^(2n) sin^-1 xi = n pi then find the value of sum(i=1)^(...

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