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If three positive real numbers a,b,c, `(cgta)` are in H.P., then `log(a+c)+log(a-2b+c)` is equal to

A

`2log (c-b)`

B

`2log(a+c)`

C

`2log (c-a)`

D

`loga+logb+logc`

Text Solution

Verified by Experts

The correct Answer is:
C
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FIITJEE-PROGRESSION & SERIES -SOLVED PROBLEMS (OBJECTIVE)
  1. Let {a(n)} be an A.P with common difference d(d != 0 ) , {b(n)} be...

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  2. Given p A.P's , each of which consists on n terms . If their first ...

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  3. If three positive real numbers a,b,c, (cgta) are in H.P., then log(a+c...

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  4. Three friends whose ages form a G.P ivide a certain sum of money in in...

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  5. The sum to n terms of the series (n^(2)-1^(2))+2(n^(2)-2^(2))+3(n^(2...

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  6. If (a(2)a(3))/(a(1)a(4))=(a(2)+a(3))/(a(1)+a(4))=3((a(2)-a(3))/(a(1)-a...

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  7. If ar>0, r in N and a1.a2,....a(2n) are in A.P then (a1+a2)/(sqrta1+sq...

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  8. Find the greatest value of x^2y^3, w h e r exa n dy lie in the first q...

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  9. Let p,q,repsilonR^(+) and 27pqr>=(p+q+r)^3 and 3p+4q+5r=12 then p^3+q^...

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  10. If the sum of n terms of an A.P is cn (n-1)where c ne 0 then the sum o...

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  11. If three positive unequal numbers a, b, c are in H.P., then

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  12. A geometric progression of real numbers is such that the sum of its ...

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  13. If (a+bk)/(a-bk) = (b+ck)/(b-ck) = (c-dk)/(c-dk) where k != 0 , a, b ,...

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  14. If three positive numbers a,b,c are in A.P ad tan^(-1)a,tan^(-1)b,tan^...

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  15. Find the sum n terms of seires tan theta+1/2tantheta/2+1/(2^2)tantheta...

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  16. sum (k=1)^(n) tan^(-1). 1/(1+k+k^(2)) is equal to

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  17. Find the sum of n terms the series: 1/(costheta+cos3theta0+1/(costheta...

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  18. The 100^(th) term of the series 3+ 8+22+72+266+ 103+ ........is divisi...

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  19. For the series 2+12+36+80+150+252 +….., the value of lim(n to oo) T/(n...

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  20. Statement 1 : If a+2b+3c=1 and a gt 0 , b gt 0 , c gt 0 then the gre...

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