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If A be the AM and G be the GM of two re...

If A be the AM and G be the GM of two real numbers, the numbers are

A

`A +- sqrt(A^(2) - G^(2))`

B

`+- sqrt(A^(2) - G^(2))`

C

`G +- sqrt(A^(2) - G^(2))`

D

`+- sqrt(A^(2) + G^(2))`

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The correct Answer is:
A
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NEW JOYTHI PUBLICATION-SEQUENCES AND SERIES -EXERCISE
  1. If the 4^(th) and 7^(th) terms of a GP are 16 and 128 respectively, th...

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  2. The sum of the first two terms of a GP of positive terms is 5/3 and th...

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  3. If A be the AM and G be the GM of two real numbers, the numbers are

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  4. The AM and GM of two positive numbers are 15 and 9 respectively. The n...

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  5. If G is the GM between a and b the 1/(G + a) + 1/(G + b) =

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  6. If |r| gt 1, x = a + a/r + a/r^(2) + .......... infty, y = b - b/r + b...

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  7. If the p^(th) term if an A.P. is q and the q^(th) term of an A.P is p ...

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  8. The sum of the series 1^(2) + 3^(2) + 5^(2) + ......+n'

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  9. The sum of 10 terms of the series sqrt(2) + sqrt(6) + sqrt(18) + .... ...

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  10. If three positive real numbers a, b, c are in A.P and abc = 4, then th...

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  11. Sum to infininty of the series 1 + 4/5 + 7/5^(2) + 10/5^(3) + ...... i...

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  12. The sum of the series 2, 5, 8, 11, …… is 60100, then n is

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  13. Let a(n) be the n^(th) term of a G.P of positive integers. Let sum(n =...

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  14. cos x = b for what b do the roots of the equation form an A.P?

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  15. Sum of all terms in in G.P is 5 times the sum of odd terms. The common...

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  16. Sum of n terms of the serise sqrt(2) + sqrt(8) + sqrt(18) + sqrt(32) +...

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  17. The sum of series 1 + 2x + 3x^(2) + 4x^(3) + ...... up to infinity whe...

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  18. If log(3)^(2),log(3)(2^(x) - 5) and log(2^(x) - 7/2)are in A.P then th...

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  19. If the sum of first n positive integers is 1/5 times the sum of their ...

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  20. The second term of an A.P is (x - y) and fifth term is (x + y), then t...

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