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If xyz =(1-x)(1-y) (1-s) where 0 le x, y...

If `xyz =(1-x)(1-y) (1-s)` where `0 le x, y, x le 1,` then the minimum value of `x (1-2)+ y (1-x) +s (1-y)` is :

A

`3/2`

B

`1/4`

C

`3/4`

D

`1/2`

Text Solution

Verified by Experts

The correct Answer is:
C
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VK JAISWAL ENGLISH-SEQUENCE AND SERIES -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
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  2. Let a,b,c,d be four distinct real number in A.P.Then the smallest posi...

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  3. The sum of all digits of n for which sum (r =1) ^(n ) r 2 ^(r ) = 2+2^...

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  4. If lim ( x to oo) (r +2)/(2 ^(r+1) r (r+1))=1/k, then k =

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  6. Three distinct non-zero real numbers form an A.P. and the squares of t...

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  7. which term of an AP is zero -48,-46,-44.......?

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  8. In an increasing sequence of four positive integers, the first 3 terms...

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  9. The limit of (1)/(n ^(4)) sum (k =1) ^(n) k (k +2) (k +4) as n to oo i...

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  10. Which is the last digit of 1+2+3+……+ n if the last digit of 1 ^(3) + ...

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  11. There distinct positive numbers, a,b,c are in G.P. while log (c) a, lo...

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  13. If sum ( k =1) ^(oo) (k^(2))/(3 ^(k))=p/q, where p and q are relativel...

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  14. The sum of the terms of an infinitely decreassing Geometric Progressio...

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  18. Find the sum of series 1+1/2+1/3+1/4+1/6+1/8+1/9+1/12+…… oo, where the...

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  19. Let a (1), a(2), a(3),…….., a(n) be real numbers in arithmatic progres...

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  20. Let the roots of the equation 24 x ^(3) -14x ^(2) + kx +3=0 form a geo...

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  21. How many ordered pair (s) satisfy log (x ^(3) + (1)/(3) y ^(3) + (1)/(...

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