Home
Class 12
MATHS
Let A = {x : |x| lt 2} and B = {x : |x -...

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

A

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

B

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

C

`A cap B=R -(2.5)`

D

`A cap B= (-2, -1)`

Text Solution

Verified by Experts

The correct Answer is:
`A`
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|2 Videos

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|445 Videos

Similar Questions

Explore conceptually related problems

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

Let A={x : x in R,-1 lt x lt 1} , B={x : x in R, x le0 or x ge 2} and AuuB=R-D , then find set D

Let A={x:x is a prime number less than 10} and B= {x:x in N and 0 lt x -2 le 4} then A-B is

If 0 lt x lt pi/2 and sin^(n) x + cos^(n) x ge 1 , then

If D={x:x is divisible by 2 and 3 and 0 lt x lt 20} and B={x:x is a multiple of 6 and 0 lt x lt 25} then D-B is

Solve : 5 - 2x lt 11 and 4x - 3 ge 9

x + y ge 4, 2x - y lt 0

Let f(x) ={{:( x+2, 0 le x lt 2),( 6-x, x ge 2):}, g(x) ={{:( 1+ tan x, 0le x lt (pi) /(4)),( 3-cotx,(pi)/(4) le x lt pi ):} f(g(x)) is

Let f(x)= {:{ (x + a , x ge 1 ) , ( ax^(2) + 1, x lt 1) :} then f(x) is derivable at x =1 , if

Let f(x)={((x^3+2x^2-x-2)/(x^3-2x^2-x+2), for |x| lt 1),(x^2+ax+b, for |x| ge 1):} be continuous for all x . Now answer the question:The values of a and b are given by (A) a=-8/3,b=-4/3 (B) a=4/3,b=-8/3 (C) a=-4/3,b=-8/3 (D) a=-4/3,b=8/3

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAIN-MATHEMATICS
  1. Let x= sum(n=0)^oo (-1)^n (tantheta)^(2n) and y = sum(n=0)^oo (costhe...

    Text Solution

    |

  2. int((d(theta))/((cos^2 theta)(sec(2theta) + tan(2theta)))) = lambda t...

    Text Solution

    |

  3. Let probability distribution is [[xi,:,1, 2, 3, 4, 5], [pi,:,k^2, 2k, ...

    Text Solution

    |

  4. If f(x) = |[x+a,x+2,x+1],[x+b,x+3,x+2],[x+c,x+4,x+3]| and a - 2b + c =...

    Text Solution

    |

  5. z is a complex number such that |Re(z)| + |Im (z)| = 4 then |z| can't ...

    Text Solution

    |

  6. Let an be the n^(th) term, of a G.P of postive terms. If Sigma(n=1)^...

    Text Solution

    |

  7. If lim(x rarr 0)x[4/x]= A, then the value of x at which f(x) = [x^2]si...

    Text Solution

    |

  8. Let one end of focal chord of parabola y^2 = 8x is (1/2, -2), then equ...

    Text Solution

    |

  9. If 10 different balls are to be placed in 4 distinct boxes at random, ...

    Text Solution

    |

  10. If p rarr (p wedge ~ q) is false. Truth value of p & q will be

    Text Solution

    |

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

    Text Solution

    |

  12. Let x + 6y = 8 is tangent to standard ellipse where minor axis is 4/sq...

    Text Solution

    |

  13. Let a function f: [0,5] rarr R be continuous , f(1) =3 and F be defind...

    Text Solution

    |

  14. Let both root of equation ax^2 - 2bx + 5 = 0 are α and root of equatio...

    Text Solution

    |

  15. If f(x) = { x, 0 lt x lt 1/2, 1/2, x = 1/2, 1-x , 1/2 lt x lt 1} an...

    Text Solution

    |

  16. If the distance between the plane 23x-10y-2z+48 =0 and the plane cont...

    Text Solution

    |

  17. Let veca, vecb and vecc be three vectors such that |veca |=sqrt(3), |...

    Text Solution

    |

  18. If .^25 C0 + 5 .^25 C1 + 9 .^25 C2 .... 101 .^25 C25 = 2^(25) k find k...

    Text Solution

    |

  19. Find the number of terms common to the two A.P. s : 3,7,11 , 407a n d...

    Text Solution

    |

  20. If the curves x^2-6x+y^2+8=0 and x^2-8y+y^2+16 -k =0 , (k gt 0) touch...

    Text Solution

    |