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If 1, log (9) (3^(1 - x) + 2) and log(...

If 1,` log _(9) (3^(1 - x) + 2) and log_(3) (4.3^(x) -1) ` are A.P. then x is

A

`log_(3)4`

B

`1-log_(4)3`

C

`1-log_(4)3`

D

`log_(4)3`

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-SEQUENCES AND SERIES-Chapter Test
  1. 1^3-2^3+3^3-4^3+........+9^3 is equal to

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  2. The sum of infinite number of terms in G.P. is 20 and the sum of their...

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  3. If 1, log (9) (3^(1 - x) + 2) and log(3) (4.3^(x) -1) are A.P. then...

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  4. Two sequences lta(n)gtandltb(n)gt are defined by a(n)=log((5^(n+1))/...

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  5. The sum of the series (1)/(sqrt(1)+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1...

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  6. Natural numbers are written as 1, (2,3), (4,5,6).. Show that the sum...

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  7. If the first term of an A.P. is 2 and common difference is 4, then ...

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  8. If 1+(1+2)/2+(1+2+3)/3+ddotto\ n terms is Sdot Then, S is equal to (n(...

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  9. The sum of 10 terms of the series sqrt(2)+sqrt(6)+sqrt(18)+ddoti s\ ...

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  10. The (m+n)th and (m-n)th terms of a GP are p and q, respectively. Then,...

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  11. The fourth, seventh and tenth terms of a G.P. are p,q,r respectively, ...

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  12. The sum of the integers from 1 to 100 which are not divisible by 3 or ...

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  13. Let the harmonic mean and geometric mean of two positive numbers be in...

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  14. The sum of the series 1 + 2.2+ 3.2^(2) + 4.2^(3) + 5.2^(4) + ….. +...

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  15. If a\ (1/b+1/c),\ b(1/c+1/a),\ c(1/a+1/b) are in A.P. prove that a ,\ ...

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  16. If the m^(th),n^(th)andp^(th) terms of an A.P. and G.P. be equal and b...

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  17. The 7th term of a H.P. is (1)/(10) and 12 th term is (1)/(25), find th...

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  18. The length of side of a square is 'a' metre. A second square is formed...

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  19. The harmonic mean of the roots of the equation (5+sqrt(2))x^2-(4+sqrt(...

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

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