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If one G.M., G and two A.M.\'s p and q b...

If one G.M., G and two A.M.\'s p and q be inserted between two given quantities, show that `G^2=(2p-q)(2q-p)`.

A

`(3p - q) (3q - p)`

B

`(2p - q) (2q - p)`

C

`(4p - q) (4q - p)`

D

none

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The correct Answer is:
B
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  3. If one G.M., G and two A.M.\'s p and q be inserted between two given q...

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  4. If a is the A.M. of ba n dc and the two geometric mean are G1a n dG2, ...

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  9. If A, G & H are respectively te A.M., G.M. & H.M. of three positive nu...

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  10. In an H.P., T(p) = q (p + q), T(q) = p (p + q), then p and q are the r...

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  11. If four positive numbers a, b, c, d are in H.P. then which one of the ...

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  12. The A.M., G.M. and H.M. between two positive numbers a and b are equal...

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  13. The AM, HM and GM between two numbers are (144)/(15), 15 and 12, but n...

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  14. If 2(y-a) is the harmonic mean between y-x and y-z then x-a, y—a and z...

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  15. IF a(1),a(2),a(3),"...."a(10) be in AP and h(1),h(2),h(3),"...."h(10) ...

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  16. If a(1), a(2), a(3) and h(1), h(2), h(3) are the A.M.'s and H.M.'s bet...

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  17. If H(1), H(2),…., H(n) be n harmonic means between a and b then (H(1) ...

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  18. If n is a root of the equation (1 - ab) x^(2) - (a^(2) + b^(2)) x - (1...

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  19. If (1)/(b+c) , (1)/(c+a) and (1)/(a+b) are in AP, then a^(2), b^(2) an...

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  20. If three numbers are in G.P., then the numbers obtained by adding the ...

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