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Three positive numbers form an increasin...

Three positive numbers form an increasing G.P. if the middle term in this G.P is doubled, the new numbers are in A.P then the common ratio of the G.P. is

A

2 - `sqrt(3)`

B

`2 + sqrt(3)`

C

`sqrt(2) + sqrt(3)`

D

`3 + sqrt(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^(x) = b^(y) = c^(z) = d^(t) and a ,b ,c d are in G.P . Then x, y,...

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  2. If a,b and c are in G.P then (b - a)/(b - c) + (b + a)/(b + c)

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  3. If a,b,c are unequal numbers such that a,b,c are in A.P and b - a, c -...

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  4. If 2(y - a) is the H.M between y - x and y - z, then x - a, y -a, z - ...

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  5. Suppose a, b, c are positive resl numbers different from 1. If log(a) ...

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  6. If (1)/(a^(2)), (1)/(b^(2)), (1)/(c^(2)) are in H.P., then

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  7. If b +c, c + a, a + b are in H.P then

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  8. If a, 8, b are in A.P, a, 4 , b are in G.P, a , x, b are in H.P then x...

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  9. Three positive numbers form an increasing G.P. if the middle term in t...

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  10. If a,b,c are real

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  11. If p,q,r are three positive real numbers then the value of (p + q) (q ...

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  12. Suppose a, b, c are in A.P and a^(2), b^(2), c^(2) are in G.P if a lt ...

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  13. If I(n) = int(0)^(pi//4) Tan^(n) x dx then I(2)+I(4), I(3)+I(5), I(4)+...

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  14. If a,b,c are in A.P., p,q,r are in H.P and ap, bq, cr are in G.P., th...

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  15. If a ((1)/(b) + (1)/(c )), b ((1)/(c )+ (1)/(a)), c ((1)/(a) + (1)/(b)...

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  16. If a,b,c are in H.P., then the straight line (x)/(a) + (y)/(b) + (1)/(...

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

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  18. The sum of the series 1 + (5)/(2) + (9)/(4) + (13)/(8) + ….. is

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  19. The sum of the series 1 + (5)/(2) + (9)/(4) + (13)/(8) + ….. is

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  20. If (10)^(9) + 2(11)^(1) (10)^(8) + 3(11)^(2) (10)^(7) + …. + 10(11)^(9...

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