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If 2(y-a) is the harmonic mean between y...

If `2(y-a)` is the harmonic mean between `y-x` and `y-z` then `x-a, y—a` and `z-a` are in

A

A.P.

B

G.P.

C

H.P.

D

none of these

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The correct Answer is:
B
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ML KHANNA-PROGRESSIONS -PROBLEM SET - 5 (MULTIPLE CHOICE QUESTIONS)
  1. The A.M., G.M. and H.M. between two positive numbers a and b are equal...

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

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  3. 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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  4. 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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  5. 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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  6. If H(1), H(2),…., H(n) be n harmonic means between a and b then (H(1) ...

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

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

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

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  10. If three numbers are in H.P., then the numbers obtained by subtracting...

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  11. If a ,b ,c ,d are in G.P., then prove that (a^3+b^3)^(-1),(b^3+c^3)^(-...

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  12. If a, b, c, d be four numbers of which the first three are in AP and t...

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  13. If S(k) denotes the sum of first k terms of a G.P. Then, S(n),S(2n)-S(...

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  14. If x, y, z be in A.P., then x + (1)/(yz), y + (1)/(zx), z + (1)/(xy) a...

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  15. Let the positive numebrs a,b,c,d be in A.P. Then abc,abd,acd,bcd re (A...

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  16. (1)/(b-a)+(1)/(b-c)=(1)/(a)+(1)/(c) then a,b,c are in:

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  17. <b>if a,b, c, d and p are distinct real number such that (a^(2) + b^...

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  18. sum(r = 1)^(10) (r)/(1 - 3r^(2) + r^(4))=

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  19. If 21(a^(2) + b^(2) + c^(2)) = (a + 2b + 4c)^(2) then a, b, c are in

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  20. If 4a^(2)+9b^(2)+16c^(2)=2(3ab+6bc+4ca)," where "a,b,c are non-zero nu...

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