Home
Class 11
MATHS
Decide, among the following sets, which ...

Decide, among the following sets, which sets are subsets of one and another:
A = { `x : x ∈ R and x` satisfy `x^(2) – 8x + 12 = 0` },
`B = { 2, 4, 6 }, C = { 2, 4, 6, 8, . . . }, D = { 6 }`.

Text Solution

Verified by Experts

The correct Answer is:
`A ⊂ B, A ⊂ C, B ⊂ C, D ⊂ A, D ⊂ B, D ⊂ C`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SETS

    NCERT TELUGU|Exercise EXERCISE 1.6|8 Videos

  • SEQUENCES AND SERIES

    NCERT TELUGU|Exercise Miscellaneous Exercise On Chapter 9|31 Videos

  • STATISTICS

    NCERT TELUGU|Exercise Miscellaneous Exercise On Chapter 15|7 Videos

Similar Questions

Explore conceptually related problems

Are the following pair of sets equal ? Give reasons. A = {2, 3} , B = {x : x is solution of x^(2) + 5x + 6 = 0 }

Which of the following pairs of sets are disjoint {1, 2, 3, 4} and { x : x is a natural number and 4 ≤ x ≤ 6 }

Knowledge Check

  • The solution set of x^(2) - 8x +15 gt 0 is

    A
    `(-1,4)`
    B
    `(-oo,-3]uu [7,oo)`
    C
    `(-oo , 3)uu ,(5,oo)`
    D
    `[-4,1]`

  • The number of common tangent to the circles x^(2) + y^(2) + 4x - 6y - 12 = 0 and x^(2) + y^(2) - 8x + 10y + 5 = 0 is

    A
    4
    B
    3
    C
    2
    D
    1

  • The range of values of x which satisfy 2x^(2) + 9x + 4 lt 0 and x^(2) - 5x + 6 lt 0 is

    A
    (-2,-1)
    B
    `((1)/(2), 4)`
    C
    (2, 3)
    D
    `phi`

    • Similar Questions

    Explore conceptually related problems

    following set is equal or not? E = {2,4,6,8}, F = {x: x is a positive even number < 10}

    Find k if the following pairs of circles are orthogonal. x^2 + y^2 - 6x - 8y + 12 = 0 , x^2 + y^2 - 4x + 6y + k = 0

    If 2 is a root of x^2-(b+4)x + 6 = 0 , then b=…..

    Which of the following sets are equal? G = {x:x is a multiple of 6} ,H = {6,12,18,24,30,…}

    The equation of the circle which cuts orthogonally the three circles x^(2) + y^(2) + 4x + 2y + 1 = 0 , 2x^(2) + 2y^(2) + 8x + 6y - 3 = 0 , x^(2) + y^(2) + 6x - 2y - 3 = 0 is

    Home
    Profile