Matching the items of Column-I with the ...

Matching the items of Column-I with the items Column-II
`{:("Column-I", "Column-II"), ("A) If "cos^(-1)lambda+cos^(-1)mu+cos^(-1)gamma=3pi" then "lambdamu+mugamma+gammalambda" is","p) "2n), ("B) If "sum_(i=1)^(10)cos^(-1)x=0" then "sum_(i=1)^(10)x_(i)" is", "q) "(sin^(-1)x-pi/6)), ("C) If "sum_(i=1)^(2n)sin^(-1)x_(i)=npi" then "sum_(i=1)^(2n)x_(i)" is", "r) "10),("D) The value of "sin^(-1){sqrt(3)/2x-1/2sqrt(1-x^(2))}"," (-1/2 le x le 1/2)" is", "s) "3):}`

Verified by Experts

The correct Answer is:

A-s, B-r, C-p, D-q

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If sum_(r=1)^(n)Cos^(-1)x_(r)=0," then "sum_(r=1)^(n)x_(r) equals to

`(n(n+1))/2`

`n/2`

1)n

2)k

3)`(k(k+1))/2`

4)`(n(n+1))/2`

1)0

2)`(npi)/2`

3)`-(npi)/2`

4)`-n pi `