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Two sets A and B are as under `A=|(a,b) in RxxR:|a-5| lt 1 and |b-5| lt 1} B=[(a,b) in Rxx R:4(a-6)^2+9(b-5)^2 le 36} Then:` (1) `B sub A` (2) `A sub B` (3) `AnnB =phi ( an empty set) (4) neither `A sub B` nor `B sub A`

A

`A sub B`

B

`A cap B= phi`

C

neither `A sub B` nor `B sub A`

D

`B sub A`

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MCGROW HILL PUBLICATION-SETS, RELATIONS AND FUNCTIONS-QUESTION FROM PREVIOUS YEARS AIEEE/JEE MAIN PAPERS
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  5. Let S = {x in R: x ge0 and 2|sqrtx -3| + sqrtx (sqrtx -6)+ 6-0} The...

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  6. Let f: A->B be a function defined as f(x)=(x-1)/(x-2), where A=R-{2) a...

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  7. For x in R-{0,1}, " let " f(1)(x)=(1)/(x), f(2)(x)=1-x and f(3)(x)=(1)...

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  8. Let f(x)=a^(x)(a gt 0) be written as f(x)=f(1)(x)+f(2)(x), " where " f...

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  9. Let A ={x in R : x is not an integer} Define f : A to R as f(x) = (2x)...

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  10. Let N be the set of numbers and two functions f and g be defined as f,...

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  11. Let a function f:(0,infty)to[0,infty) be defined by f(x)=abs(1-1/x). T...

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  12. Let f: R to R be defined by f(x)=(x)/(1+x^(2)), x in R. Then, the ra...

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  13. In a class 140 students numbered 1 to 140, all even numbered students ...

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  16. If the function f: R -{1,-1} to A definded by f(x)=(x^(2))/(1-x^(2)), ...

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  18. Let f(x)=x^(2), x in R. " for any " A subseteq R, " define " g(A)={x i...

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  19. For x in (0,(3)/(2)), " let " f(x)=sqrt(x),g(x) =tan x and h(x)=(1-x^(...

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  20. Let A,B and C be sets such that phi ne nn B sube C. Then which of the ...

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