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If a, b and c be three distinct real num...

If a, b and c be three distinct real number in G.P. and `a + b + c = xb`, then x cannot be

A

`0 lt x lt 1`

B

`-1 lt x lt 3`

C

`x lt -1 or x gt 3`

D

`-1 lt x lt 2`

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The correct Answer is:
C
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ML KHANNA-PROGRESSIONS -PROBLEM SET - 2 (MULTIPLE CHOICE QUESTIONS)
  1. Three numbers form an increasing G.P. If the middle number is doubled,...

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  2. Let f(x)=2x+1. Then the number of real number of real values of x for ...

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  3. If a, b and c be three distinct real number in G.P. and a + b + c = xb...

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  4. If a, b, c be in G.P., then the expression a^(2)b^(2)c^(2) ((1)/(a^(3)...

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  5. How many terms of the series 1, 4, 16,… must be taken to have their su...

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  6. The sum of n terms of the series 1 + (1)/(2) + (1)/(2^(2)) +… is less ...

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  7. The minimum value of n such that 1 + 3 + 3^(2) +...+ 3^(n) gt 1000 is

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  8. If S denotes the sum to infinity and Sn the sum of n terms of the seri...

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  9. Let S1 , S2 , …. Be squares such that for each n ge 1 the length of a...

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  10. If A and G be the A .M and G.M between two positive numbers, then the ...

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  11. If the A.M. and G.M. between two numbers are in the ratio m.n., then w...

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  12. If S = (2)/(3) + (8)/(9) + (26)/(27) + (30)/(81)+….+n terms, then the ...

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  13. Sum of n terms of the series (1)/(3) + (5)/(9) + (19)/(27) + (65)/(81)...

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  14. 8 + 88 + 888 +…n terms =

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  15. underset("n digits")((666…6)^(2)) + underset("n digits")((888…8)) is e...

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  16. The value of sum sum(n=1)^(13) ( i^(n) + i^(n+1)) where i= sqrt( -1) ,...

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  17. If |a| lt 1 and |b| lt 1 , then the sum of the series a(a+b) + a^2...

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  18. If S be the sum, P the product and R the sum of the reciprocals of n t...

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  19. If x = 1 + a + a^(2) + a^(3) +…"to" oo (|a| lt 1) and y = 1 b + b^(2) ...

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  20. If x is the first term of a G.P. with infinite number of terms and S(o...

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