Home
Class 12
MATHS
Let the area enclosed by the lines x+y=2...

Let the area enclosed by the lines `x+y=2 , y=0,x=0` and the curve `f(x)=min{x^2+3/4, 1+[x]}` where `[x]` denotes the greatest integer `le x` be A. Then the value of `12A` is _____

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos

  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=(-1)^([x]) where [.] denotes the greatest integer function),then

Let f(x) = [x]^(2) + [x+1] - 3 , where [.] denotes the greatest integer function. Then

Let f(x)=(x^(2)+1)/([x]),1 lt x le 3.9.[.] denotes the greatest integer function. Then

Let f(x)=(x^(2)+2)/([x]),1 le x le3 , where [.] is the greatest integer function. Then the least value of f(x) is

Determine the area enclosed by the curve y=x^3 , and the lines y=0,x=2 and x = 4.

Let f:R rarr A defined by f(x)=[x-2]+[4-x], (where [] denotes the greatest integer function).Then

JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
  1. If domain of the function loge((6x^2+5x+1)/(2x-1))+cos^-1((2x^2-3x+4)/...

    Text Solution

    |

  2. Let [t] denote the greatest integer function. If int0^(2.4) [x^2]dx=al...

    Text Solution

    |

  3. Let the area enclosed by the lines x+y=2 , y=0,x=0 and the curve f(x)=...

    Text Solution

    |

  4. Let 0 lt z lt y lt x be three real number such that 1/x,1/y,1/z are in...

    Text Solution

    |

  5. Let P1 be the plane 3x-y-7z=11 and P2 be the plane passing through the...

    Text Solution

    |

  6. Let veca be a non-zero vector parallel to the line of intersection of ...

    Text Solution

    |

  7. The number of elements in the set S={theta in [0,2pi]:3cos^4 theta -5...

    Text Solution

    |

  8. The number of triplets (x,y,z) where x,y,z are distinct non negative i...

    Text Solution

    |

  9. Area of the region {(x,y):x^2+(y-2)^2 le 4, x^2 ge 2y} is

    Text Solution

    |

  10. Let (alpha,beta,gamma) be the image of the point P(2,3,5) in the plane...

    Text Solution

    |

  11. If equation of the plane that contains the point (-2,3,5) and is perpe...

    Text Solution

    |

  12. Let S={M=[a(ij)] , a(ij) in {0,1,2}, 1 le i , j le 2} be a sample spac...

    Text Solution

    |

  13. Let w1, be the point obtained by the rotation of z1 = 5+ 4i about the ...

    Text Solution

    |

  14. Let sets A and B have 5 elements each. Let the mean of the elements in...

    Text Solution

    |

  15. Let A be 2 xx 2 matrix with real entries such that A'=alpha A+I , wher...

    Text Solution

    |

  16. Let f(x)=[x^2-x]+abs(-x+[x]) where x in RR and [t] denotes the greates...

    Text Solution

    |

  17. Let y=y(x) be a solution curve of the differential equation. (1-x^2y^...

    Text Solution

    |

  18. Let x1,x2, . . . x(100) be an arithmetic progression, with x1=2 and th...

    Text Solution

    |

  19. An organization awarded 48 medals in event 'A', 25 in event 'B' and 18...

    Text Solution

    |

  20. Let f:[2,4] to RR be a differentaible function such that (xloge x) f'...

    Text Solution

    |