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If in DeltaABC , cotA, cotB, cotC are in...

If in `DeltaABC` , `cotA`, `cotB`, `cotC` are in A.P., then

A

`a,b,c` are in A.P.

B

`a^(2),b^(2),c^(2)` are in A.P.

C

`cosA,cosB,cosC` are in A.P.

D

None of these

Text Solution

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The correct Answer is:
B
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{:(,"List-I",,"List-II"),((A),"In a "DeltaABC a+b=3c", then "cot.(A)/(2)cot.(B)/(2)" is",(i),b^(2)-c^(2)),((B),"If the sides a, b, c of a triangle are in A.P., then the value of "cot.(A)/(2)cot.(C)/(2)" is",(ii),(pi)/(3)),((C),"In a "DeltaABC a(bcosC-cosB)" is equal to",(iii),3),((D),"In a "DeltaABC a=2band|A-B|=(pi)/(3)" Then "angleC " is",(iv),2):}

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Knowledge Check

  • If ln ( a+c ) , ln ( c-a) , ln(a-2b+c) are in A.P., then :

    A
    a,b,c are in A.P.
    B
    `a^(2) , b^(2) , c^(2)` are in A.P.
    C
    a,b,c are in G.P.
    D
    a,b,c, are in H.P.
  • If log( a+c), log(c-a) , log ( a-2b+c) are in A.P., then :

    A
    a,b,c are in A.P.
    B
    `a^(2),b^(2) ,c^(2)` are in A.P.
    C
    a,b,c are in G.P.
    D
    a,b,c are in H.P.
  • a, b, c are in A.P, b, c, d are in G.P and c, d, e are in H.P, then a, c, e are in

    A
    a.A.P
    B
    b.`G . P`
    C
    c.`H . P`
    D
    d.none of these
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