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Sum of three positive numbers alpha, bet...

Sum of three positive numbers `alpha, beta and gamma` is `pi/2`. if `cot alpha+ cot gamma= 2cot beta`, then which of the following hold(s) good(A) `cotalpha* cot gamma= 3` (B)`cotalpha* cot gamma= 2` (C)`sum cotalpha=prod cotalpha` (D) `sum tanalpha=prod tanalpha`

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