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If {:(x = a + a//r + a//r^(2)+......oo),...

If `{:(x = a + a//r + a//r^(2)+......oo),(y = b - b//r + b//r^(2)-.......oo),(z = c + c//r^(2) + c//r^(4)+......oo):}`
Then the value of xy/z is equal to

A

`(ab)/(a)`

B

`(bc)/(a)`

C

`(ca)/(b)`

D

none

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The correct Answer is:
A
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ML KHANNA-PROGRESSIONS -PROBLEM SET - 2 (MULTIPLE CHOICE QUESTIONS)
  1. If x = 1 + y + y^(2) + y^(3)+…"to"oo, then y is

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  2. (3)/(4)-(5)/(4^(2))+(3)/(4^(3))-(5)/(4^(4))+(3)/(4^(5))-(5)/(4^(6))+.....

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  3. If {:(x = a + a//r + a//r^(2)+......oo),(y = b - b//r + b//r^(2)-........

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  4. If S(1), S(2),…S(lambda) are the sums of infinite G.P.'s whose first t...

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  5. The vlaue of 9^(1//3)xx9^(1//9)xx9^(1//27)xx………oo is :

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  6. Find the value of (320(32)^(1//6)(32)^(1//36)oodot

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  7. The value of 2.bar(357), is

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  8. The value of 0.4bar(23) is

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  9. An equilateral triangle is drawn by joining the mid-points of a given ...

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  10. If the expression exp {1+|cosx|+cos^(3)x|+cos^(4)x+ . . . . oo)log(e...

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  11. Find the values of x in (-pi,pi) which satisfy the equation 8^(1+|cosx...

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  12. In an A.P., (S(p))/(S(q)) = (p^(2))/(q^(2)), p ne q, then (T(6))/(T(21...

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  13. If ||a| lt 1 "and " |b| lt 1 then the sum of the series 1+(1+a)b+(1+a+...

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  14. If exp. {(sin^2x+sin^4x+sin^6x+…inf.) In2} satisfies the equation x^2-...

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  15. The value of 0. 2^(logsqrt(5)1/4+1/8+1/(16)+) is 4 b. log4 c. log2 d....

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  16. The value of (0*16)^(log(2*5)((1)/(3)+(1)/(3^(2))+(1)/(3^(3))+....oo))...

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  17. If the sum of an infinitely decreasing G.P. is 3, and the sum of the s...

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  18. The sum of an infinite geometric progression (G.P.) is 2 and the sum o...

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  19. Consider an infinite geometric series with first term a and common rat...

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  20. If S(lambda) = sum(r = 0)^(oo) (1)/(lambda^(r)),"then" sum(lambda = 1)...

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