Home
Class 11
MATHS
Let S = {x in R: x ge0 and 2|sqrtx -3...

Let `S = {x in R: x ge0`
and ` 2|sqrtx -3| + sqrtx (sqrtx -6)+ 6-0}` Then S

A

contains exactly one element.

B

contains exactly two elements.

C

contains exactly four elements.

D

is an empty set.

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos
  • SETS, RELATIONS AND FUNCTIONS

    TARGET PUBLICATION|Exercise CRITICAL THINKING|83 Videos
  • PROBABILITY

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 Videos
  • STRAIGHT LINE

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

Similar Questions

Explore conceptually related problems

1/sqrtx (sqrtx+1/sqrtx)^2

If x=5+2sqrt6 then sqrtx+1/sqrtx=

f(x)=sqrtx-(1)/(sqrtx)

int(3x sqrtx +4 sqrtx+5) dx=

y = x+sqrtx+1/sqrtx

lim_(x rarr oo) (sqrt(x+1)-sqrtx)sqrtx

lim (x rarr 0^+ ) sqrtx/(sqrt(4-sqrtx ) - sqrtx)

lim (x rarr 0^+ ) sqrtx/(sqrt(4-sqrtx ) - sqrtx)

TARGET PUBLICATION-SETS, RELATIONS AND FUNCTIONS-COMPETITVE THINKING
  1. The set A={x:x epsilonR,x^(2)=16 and 2x=16} is equal to

    Text Solution

    |

  2. The set A = {x:|2x +3 | lt 7} is equal to the set

    Text Solution

    |

  3. Let S = {x in R: x ge0 and 2|sqrtx -3| + sqrtx (sqrtx -6)+ 6-0} The...

    Text Solution

    |

  4. The number of non-empty subsets of the set {1,2,3,4} is

    Text Solution

    |

  5. If the set A contains 5 elements, then the number of elements in the p...

    Text Solution

    |

  6. If A = {x:x is a multiple of 4} and B= {x:x is multiple of 6} then A ...

    Text Solution

    |

  7. The number of elements in the set {(a, b) : 2a^2 + 3b^2 = 35. a . b i...

    Text Solution

    |

  8. If S is a set with 10 elements and A={(x,y):x,y in S, x ne y}, then th...

    Text Solution

    |

  9. The total number of subset of the set {1,2,…,10} which do not contain ...

    Text Solution

    |

  10. Two finite sets have m and n elements. The total number of subsets of ...

    Text Solution

    |

  11. Suppose A1,A2….. A(30) are thirty sets each having 5 elements and B1B2...

    Text Solution

    |

  12. For any two sets A and B, A-(A-B) equals

    Text Solution

    |

  13. Three sets A,B and C are such that A=B nnCandB=CnnA

    Text Solution

    |

  14. Let A, B and C be the sets such that A uu B=A uu C and A nn B = A nn C...

    Text Solution

    |

  15. Let A and B be sets. If AnnX=BnnX=phi and AuuX=BuuX for some set X the...

    Text Solution

    |

  16. If n (A) =3 ,n(3)=6 and A sube B .Then the number of elements in A cu...

    Text Solution

    |

  17. If n (A)=8 and n (A nnB)=2, then n[(AnnB)' nn A] is equal to

    Text Solution

    |

  18. Given A = {x | x is a root of x^2 - 1 =0}, B = {x | x is a root of x^2...

    Text Solution

    |

  19. If X = {4 ^(n)-2n-1: n in N} and Y={9(n -1) : n in N}, then Xnn Y=

    Text Solution

    |

  20. If N(a)={an:ninN}, then N(5) nn N(7) equals

    Text Solution

    |