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If three positive real numbers a,b, c ar...

If three positive real numbers a,b, c are in A.P such that abc = 4, then the minimum possible value of b is

A

`2^(3//2)`

B

`2^(2//3)`

C

`2^(1//3)`

D

`2^(5//2)`

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-SEQUENCES AND SERIES -EXERCISE
  1. If a and x are positive integers such that x lt a and sqrt(a - x ), sq...

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  2. If the length of sides of right angled triangle are in A.P., then the ...

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  3. If three positive real numbers a,b, c are in A.P such that abc = 4, th...

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  4. If log(5) 2, log(5) (2^(x)-5 ) log(5) (2^(x) - 7//2) are in A.P ., th...

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  5. If a(1),a(2),a(3),………. are in A.P. such that a(1) + a(5) + a(10) + a(1...

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  6. Four numbers are in arithmetic progression. The sum of first and last ...

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  7. The ratio of the sums of m arithmatic means and n arithmatic means bet...

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  8. Between 1 and 31 are inserted m arithmetic means, so that the ratio of...

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  9. If a(1), a(2) ……… a(n) are in A.P with common difference d ne 0, then ...

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  10. Value of underset(n rarr infty )(Lim) sum(r = 1)^(n) Tan^(-1) ((1)/(2r...

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  11. Given that n A.M.s are inserted between two sets of numbers a , 2b and...

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  12. If pth, qth, rth terms of an A.P are a,b,c then a(q - r ) + b(r - p ) ...

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  13. If mth terms of an A.P . Is n and nth term is m, then (m + n)th term i...

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  14. If the mth term of an A.P is n and nth term is m , then pth term =

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  15. If 100 times the 100^(th) term of an A.P with non zero common differen...

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  16. If the sum of m terms of an A.P, is equal to the sum of n terms of the...

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  17. If a(1), a(2) …… a(n) are in A.P then (sqrt(a(1)) + sqrt(a(n)))/( sqrt...

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  18. If the ratio of sum of n terms in two A.P' s is 2n : n + 1, then the ...

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  19. The sum of n terms in two A.P's are in the ratio 3n + 1 : n + 4 , then...

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  20. If S(n) danotes the sum of n terms of n terms of an A.P. then S(n + 3)...

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