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If a, b, c are in G.P. and a^(1/x) =b^(1...

If a, b, c are in G.P. and `a^(1/x) =b^(1/y)=c^(1/z)` , prove that x, y , x are in A.P

A

A.P

B

G.P

C

H.P

D

None of these

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The correct Answer is:
A
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KUMAR PRAKASHAN-SEQUENCE AND SERIES-Textbook based MCQs
  1. The sum of …….terms of on A.P. 3, 7, 11, 15,….. Will becomes 406

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  2. S(n) denots the sum of first n terms of an A.P. Its first term is a an...

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  3. If a, b, c are in G.P. and a^(1/x) =b^(1/y)=c^(1/z) , prove that x, y...

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  4. The p^(th), q^(th) and r^(th) terms of an A.P. are in geometric progre...

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  5. If a,b,c are in G.P and A.M of a and b is x and A.M. of b and c is y t...

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  6. If 10^(th) and 4^(th) terms of a G.P are 9 and 4 respectively, then it...

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  7. If A be one A.M and p, q be two G.M.'s between two numbers then 2A is ...

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  8. If m^(th), n^(th) and p^(th) terms of an A.P and G.P be equal and be r...

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  9. The A.M of two positive number is x and two G.M.'s between them are y ...

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  10. Series (1)/(log(2)^(2)) + (1)/(log(4)^(4)) + (1)/(log(8)^(4)) + …..+ (...

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  11. If Sigma n = 210 " then " Sigma n^(2)=…….

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  12. sqrt2 + sqrt8 + sqrt18 + sqrt32 +…..up to n terms is…….

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  13. 1^(2) + 3^(2) + 5^(2)+……..up to n terms is……..

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  14. If S(n)=1 + (1)/(2) + (1)/(2) + …..+ (1)/(2^(n-1)), (n in N) then …….

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  15. 0 lt theta lt (pi)/(2) then the minimum value of sin^(3) theta + cosec...

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  16. If a,b,c,d,e,f are in A.P. then d-b= ……

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  17. underset(r=1)overset(n)Sigma (underset(m=1)overset(r )Sigma m)=……

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  18. If 25, x - 6 and x - 12 are in G.P then x = .......... or ......... .

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  19. If 2,b,c, 23 are in G.P then (b-c)^(2)+ (c-2)^(2) + (23-b)^(2)= …….

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  20. If a + b + c = 5 then the maximum value of ab^(3)c is……

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