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If `alpha,beta,gamma,delta` are the smallest positive angles in ascending order of magnitude which have their sines equal to the positive quantity `k ,` then the value of `4sinalpha/2+3sinbeta/2+2singamma/2+sindelta/2` is equal to `2sqrt(1-k)` (b) `2sqrt(1+k)` `(sqrt(1-k))/2` (d) none of these

A

`2sqrt(1-k)`

B

`2sqrt(1+k)`

C

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

D

`(sqrt(1-k))/(2)`

Text Solution

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The correct Answer is:
B
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