If three positive numbers a,b,c are in A...

If three positive numbers a,b,c are in A.P ad `tan^(-1)a,tan^(-1)b,tan^(-1)c` are also in A.P such that `b lt 1 and ac lt 1 ` then

A

`b^(2)=ac`

B

`a^(2)+b^(2)+c^(2)=ab+bc+ca`

C

`a^(3)+b^(3)+c^(3)=3abc`

D

`sin^(-1)a , sin^(-1) b , sin ^(-1) c ` are also in A.P

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The correct Answer is:

A, B, C, D

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