In any △ABC, if cot⁡A2,cot⁡B2,cot⁡C2 are in A.P., then a, b, c are in 

In any ABC, if cotA2,cotB2,cotC2 are in A.P., then a, b, c are in 

  1. A

    A.P.

  2. B

    G.P.

  3. C

    H.P.

  4. D

    none of these

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    Solution:

    We have,

    cotA2,cotB2,cotC2are in A.P.

     2cotB2=cotA2+cotC2 2s(sb)(sa)(sc)=s(sa)(sb)(sc)+s(sc)(sa)(sb)

     2(sb)=sa+sc2b=a+ca,b,c are in A.P.

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