If ^4 ^2 , 12 and ^4 cosec ^2 are in AP then ^8 ^6 , 12 and ^8 cosec ^6 are in

JEE Advanced Mathematics question

If and are in AP then

θ·α,\ \ 12\ \ and\ \ θ·\operatorname{cosec}^6α\ are in

Answer: (A)

AP condition: . Multiply by :

θα+θα=αα .

Let . Then , i.e.

t-2st++-=t-\ ⇒\

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Question ID VK-108456