Let x(1) " and " x(2) ( x(1) gt x(2)) be...

Let `x_(1) " and " x_(2) ( x_(1) gt x_(2))` be roots of the equation `sin^(-1) ( cos ( tan^(-1)( cosec ( cot^(-1)x)))) = pi/6 `, then

A

` sin ^(-1). 1/x^(1) + cos ^(-1). 1/x_(2) = pi`

B

`sin^(-1) ( 1/x_(1)) + cos ^(-1) ( 1/x_(2)) = 0 `

C

` sin ^(-1) . 1/x_(1) + sin ^(-1) ( 1/x_(2)) = 0 `

D

` cos^(-1) ( 1/x_(1)) + cos^(-1) ( 1/x_(2)) = pi `

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The correct Answer is:

A, C, D

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