Home
Class 12
MATHS
If A={x in R:|x|lt2} and B={x in R:|x-2|...

If `A={x in R:|x|lt2} and B={x in R:|x-2|ge3}`, then

A

`AcapB=(-2,-1)`

B

`B-A=R-(-2,5)`

C

`AcupB=R-(2,5)`

D

`A-B=[-1,2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • JEE MOCK TEST 14

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • JEE MOCK TEST 17

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

Let A = {x : |x| lt 2} and B = {x : |x - 2| ge 3} then

STATEMENT-1:If A={x|x in R,x ge2} and B{x|x in R, x lt 4} "then "A triangle B=R-[2,4). STATEMENT-2: For any two sets A and B, A triangle B =(A-B) cup (B-A)

If A ={x:x in R, x lt 5} and B={x:x in R, x gt 4} , find A cap B .

If A={x in R: x^(2)+6x-7 lt 0} and B={ x in R: x^(2)+9x+14 gt 0} , then which of the following is/are correct ? 1. A cap B = {x in R: -2 x lt x lt 1} 2. AUB = {x in R: -7 lt x lt -2} Select the correct answer using the codes given below :

If A={x|x in R,x ge3} and{x|x inR,x lt4}, then: A capB=

If A={x in R : |x-2| gt 1} , B={x in R : sqrt(x^(2)-3) gt 1 } , C={x in R : |x-4| ge 2} and Z is the set of all integers, then the number of subsets of the set (AnnBnnC)^(c )nnZ is ___________.

If A= {x : x in R, x ge 3} and B = {x : x in R, x lt 6} , then A nn B =

NTA MOCK TESTS-JEE MOCK TEST 15-MCQS (MATH)
  1. If x, y and z are in AP and tan^(-1) x, tan^(-1) y " and " tan^(-1) z ...

    Text Solution

    |

  2. If vecr*hati=2vecr*hatj=4hatr*hatk and |vecr|=sqrt(84), then the value...

    Text Solution

    |

  3. If A={x in R:|x|lt2} and B={x in R:|x-2|ge3}, then

    Text Solution

    |

  4. On which of the following intervals is the function x^(100)+sinx-1 dec...

    Text Solution

    |

  5. The area bounded by the graph y=[x-3], the X-axis and the lines x=-2 a...

    Text Solution

    |

  6. underset(nrarroo)(lim)(3.2^(n+1)-4.5^(n+1))/(5.2^(n)+7.5^(n))=

    Text Solution

    |

  7. Let function F be defined as f(x)= int1^x e^t/t dt x > 0 then the v...

    Text Solution

    |

  8. The sum of the squares of deviation of 10 observations from their mean...

    Text Solution

    |

  9. 2.The number of ordered pair(s) (x,y) satisfying y = 2 sinx and y = 5x...

    Text Solution

    |

  10. If g(x)=x^(2)+x+x-1 and g(f(x))=4x^(2)-10x+5 then find f((5)/(4))

    Text Solution

    |

  11. The tangents to x^2+y^2=a^2 having inclinations alpha and beta interse...

    Text Solution

    |

  12. Which of the following is logically equivalent to ~(~pto q)?

    Text Solution

    |

  13. The number of different terms in the expansion of (1-x)^(201)(1+x+x^(2...

    Text Solution

    |

  14. The angle of elevation of an object on a hill is observed from a certa...

    Text Solution

    |

  15. If alpha,beta are the roots of the equation x^(2)-3x+4=0, then the equ...

    Text Solution

    |

  16. If y=Acos(logx)+B sin(logx) then prove that x^(2)(d^(2)y)/(dx^(2))+x(d...

    Text Solution

    |

  17. If z be a complex number satisfying |z-4+8i|=4, then the least and the...

    Text Solution

    |

  18. A perpendicular is drawn from a point on the line (x-1)/(2)=(y+1)/(-1)...

    Text Solution

    |

  19. The general solution of the differential equation (dy)/(dx)+sin(x+y)/2...

    Text Solution

    |

  20. The number of value of x in [0,2] at which f(x)=|x-1/2|+|x-1|+tan x is...

    Text Solution

    |