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If the A.M and G.M between two numbers a...

If the A.M and G.M between two numbers are in the ratio m"n then the numbers are in the ratio

A

`m + sqrt(n^(2)-m^(2)): m- sqrt(n^(2)-m^(2))`

B

`m + sqrt(m^(2) + n^(2)): m - sqrt(m^(2)+ n^(2))`

C

`m + sqrt(m^(2)-n^(2)): m- sqrt(m^(2)-n^(2))`

D

`n+ sqrt(m^(2)-n^(2)):n -sqrt(m^(2)-n^(2))`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-SEQUENCE AND SERIES-Practice Exercise
  1. If A and G are A.M and G.M between two positive numbers a and b are co...

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  2. Between 4 and 2916, (2n+1) G.M's are inserted then (n+1)^(th) G.M is

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  3. If the A.M and G.M between two numbers are in the ratio m"n then the n...

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  4. alpha, beta, gamma are the geometric means between ca, ab, ab, bc, bc,...

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  5. A square is drawn by joining the mid points of the given square a thir...

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  6. If p^(th), q^(th), r^(th) terms of a H.P be respectively a, b and c th...

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  7. If mth terms of H.P is n and nth term is m, then (m + n)th term is

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  8. If a,b,c are in A.P and b,c,a are in H.P then a^(4)=

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  9. If a(1), a(2),….a(n) are in H.P then (a(1))/(a(2) + a(3) + …+ a(n))...

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  10. If a, b, c, d are in H.P then ab + bc + cd=

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  11. If 3 and 2 are A.M and G.M of two number then H.M of the numbers is

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  12. If the harmonic mean between a and b is (a^(n + 1) + b^(n - 1))/(a^(n)...

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  13. log(3)^(2), log(6)^(2), log(120^(2) are in

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  14. Let a(1), a(2) ….a(10) be A.P and h(1), h(2)…h(10) be in H.P. If a(1)=...

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  15. If p th term of a H.P is qr and q^(th) term is r p then r^(th) term is

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  16. If the sum of the series 1+ (3)/(x) + (9)/(x^(2))+ (27)/(x^(3)) + …oo ...

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  17. If 3 + (3 + d) (1)/(4) + (3+ 2d) (1)/(4^(2)) + …oo= 8 then d=

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  18. If 1+ 2x + 3x^(2) + 4x^(3) + …oo= (9)/(4) (|x| lt 1) then x=

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  19. If the sum to infinity of the series 3 + 5x + 7x^(2) + …oo = (44)/(9) ...

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  20. Let p= 3^(1//3) .3^(2//9).3^(3//27) ….oo then p^(1//3)=

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