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If x,y,z are in A.P and tan^(-1)x,...

If ` x,y,z` are in A.P and ` tan^(-1)x, tan ^(-1) y and tan^(-1) z` are also in A.P then-

A

`x= y=z`

B

`x=3y=6z`

C

`6x=3y=2z`

D

`6x=4y=3z`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • If the non-zero numbers a,b,c are in AP and tan^-1a,tan^-1b,tan^-1c are also in AP, 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^-1a,sin^-1b,sin^-1c`

  • If x,y,z are in A. P. then (1)/(yz) , (1)/(zx), (1)/(xy) are in-

    A
    A.P.
    B
    G.P.
    C
    H.P.
    D
    none of these

  • If tan^-1 y = 4 tan^-1 x , then y is infinite , if

    A
    `x^2 = 3 + 2sqrt2`
    B
    `x^2 = 3 - 2sqrt2`
    C
    `x^4 = 6x -1`
    D
    `x^4 = 6x^2 +1`

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    if tan ^(-1) x+tan ^(-1) y+tan ^(-1) z=pi prove that x+y+z=xyz

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