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Decide, among the following sets, which...

Decide, among the following sets, which sets are subsets of one and another:`A = { x : x in Ra n d x s a t i sfyx^2 8x + 12 = 0 }`, `B = { 2, 4, 6 }, C = { 2, 4, 6. 8 dot dot do

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The correct Answer is:
`{because` Element 6 of D is in A , B and C]
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Decide,among the following sets,which sets are subsets of one and another: A={x:x in R and x satis fyx^(2)-8x+12=0} B={2,4,6},C={2,4,6.8...,D={6}

Decide among the following sets,which are subsets of which: A={x:x satisfies x^(2)-8x+12=0},B={2,4,6},C={2,4,6,8},D={6}

Knowledge Check

  • Which of the following is/are not true ? (A) P = {x:x=2y+1 "and" y in N} is a finite set. (B) Q= {x : x in R "and" x^(2) + 1 = 0} is a null set. (C ) R = {x : x^(3) +1 = 0 "and" x^(2) + 1= 0} is a single-ton set. (D) S = {x:8 lt x lt 13, x in R) is an infinite set.

    A
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    B
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    C
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    D
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    A
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    B
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    C
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    D
    `{phi}`
  • Which of the following is to be added to make x^(6) -6x^(4) + 4x^(3) + 8x^(2) - 10x + 3 a perfect square ?

    A
    `(x -1)^(2)`
    B
    `(x -2)^(2)`
    C
    `(2x -3)^(2)`
    D
    `(2x + 1)^(2)`
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