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Find two numbers whose arithmetic mean i...

Find two numbers whose arithmetic mean is 34 and the geometric mean is 16.

A

`x^2 + 2Ax +G^2 =0`

B

`x^2 + G^2x +A=0`

C

`x^2 - 2Ax +G^2 =0`

D

`x^2 + Gx + A=0`

Text Solution

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The correct Answer is:
C
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VMC MODULES ENGLISH-SEQUENCE AND SERIES -LEVEL-1
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  2. Three numbers are in G.P. whose sum is 70. If the extremes be each ...

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  3. Find two numbers whose arithmetic mean is 34 and the geometric mean is...

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  4. if (a,b) , (c,d) , (e,f)are the vertices of a triangle such that a, c,...

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  5. if x >0 , and log2 x + log2 (x^(1/2)) + log2 (x^(1/4))+ ------------ =...

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  6. If the p^(t h)a n d q^(t h) terms of a G.P. are q a n d p respectively...

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  7. The number of terms common between the series 1+2+4+8+ .......to 100 t...

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  8. If a,b,c are in H.P., then the value of ((1)/(b)+(1)/(c)-(1)/(a))((1...

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  9. If 1/(b-a)+1/(b-c)=1/a+1/c , then (A). a ,b ,a n dc are in H.P. (B). a...

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  10. a, b, c are the first three terms of geometric series. If the H.M. of ...

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  11. Let there be a GP whose first term is a and the common ratio is r. If ...

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  12. If 0.bar(27), x and 0.bar(72) are in H.P. , then x must be :

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  13. The following consecutive terms (1)/(1+sqrt(x)),(1)/(1-x),(1)/(1-sqrt(...

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  14. If the (m+1)t h ,(n+1)t h ,a n d(r+1)t h terms of an A.P., are in G.P....

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  15. Let a1,a2 ,…. , a10 be in A.P. and h1,h2 …. h10 be in H.P. If a1=h1...

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  16. If the A.M. between two numbers exceeds their G.M. by 2 and the GM. ...

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  17. Statement -I: If H is the harmonic mean between a and b then (H+ a)/(H...

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  18. If the A.M between a and b is m times their H.M then a:b is

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  20. a, b, x are in A.P., a,b,y are in G.P. and a, b, z are in H.P. then:

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