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If three positive unequal numbers a, b, ...

If three positive unequal numbers `a, b, c` are in H.P., then

A

`a+c gt 2b`

B

`a^(2)+c^(2) gt 2b^(2)`

C

`a^(2)+c^(2) gt 2ac`

D

none of these

Text Solution

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The correct Answer is:
A, B, C
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Knowledge Check

  • If three positive real numbers a,b,c, (cgta) are in H.P., then log(a+c)+log(a-2b+c) is equal to

    A
    2 log (c-b)
    B
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    C
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    D
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    A
    `(a)/(b + c - a) , (b)/(c + a - b), (c)/(a + b - c)` are in H.P.
    B
    `(2)/(b) = (1)/(b-a) + (1)/(b-c)`
    C
    `a - (b)/(2),(b)/(2) , c (b)/(2) ` are in G.P.
    D
    `(a)/(b+c),(b)/(c+a),(c)/(a +b)` are in H.P.

  • If a,b,c are in H.P, then

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    B
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    C
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