Home
Class 12
MATHS
Consider the function f(x)={{:(x=[x]-(1)...

Consider the function `f(x)={{:(x=[x]-(1)/(2)","," if "x in I),(0","," if "x in I):}` Where `[.]` denotes greatest integer function and I is the set of integers, then `g(x)=max{x^(2), f(x),|x|},-2le x le2` is defined as

Text Solution

Verified by Experts

The correct Answer is:
`275/48` sq
Promotional Banner

Topper's Solved these Questions

  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS|Exercise Exercise For Session 1|10 Videos

  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS|Exercise Exercise For Session 2|20 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

Consider the function f(x)={{:(x-[x]-(1)/(2),x !in),(0, "x inI):} where [.] denotes the fractional integral function and I is the set of integers. Then find g(x)max.[x^(2),f(x),|x|},-2lexle2.

If f(x) = {{:("sin"(pix)/(2)",",x lt 1),([x]",",x ge 1):} , where [x] denotes the greatest integer function, then

If f(x) = {{:(|1-4x^(2)|",",0 le x lt 1),([x^(2)-2x]",",1 le x lt 2):} , where [] denotes the greatest integer function, then

If f(x) =[ sin ^(-1)(sin 2x )] (where, [] denotes the greatest integer function ), then

Let [] donots the greatest integer function and f (x)= [tan ^(2) x], then

f(x)=log(x-[x]) , where [*] denotes the greatest integer function. find the domain of f(x).

The function f(x) = [x], where [x] denotes the greatest integer function, is continuous at

If f(x)=e^(sin(x-[x])cospix) , where [x] denotes the greatest integer function, then f(x) is

f(x)=sin^(-1)[2x^(2)-3] , where [*] denotes the greatest integer function. Find the domain of f(x).

Determine whether function, f(x)=(-1)^([x]) is even, odd or neither of two (where [*] denotes the greatest integer function).

ARIHANT MATHS-AREA OF BOUNDED REGIONS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Consider the function f(x)={{:(x=[x]-(1)/(2)","," if "x in I),(0","," ...

    Text Solution

    |

  2. Area of the region {(x,y) in R^(2):ygesqrt(|x+3|),5ylex+9le15} is eq...

    Text Solution

    |

  3. Let F(x)=int(x)^(x^2+pi/2) 2 cos^(2)dt for all x in R and f:[0,1/2] to...

    Text Solution

    |

  4. The common tangents to the circle x^2=y^2=2 and the parabola y^(2)=8x ...

    Text Solution

    |

  5. The area enclosed by the curve y=sinx+cosxa n dy=|cosx-sinx| over the ...

    Text Solution

    |

  6. In Δ PQR, right-angled at Q, PR + QR = 30 cm and PQ = 10 cm. Determine...

    Text Solution

    |

  7. Let f:[-1,2]->[0,oo) be a continuous function such that f(x)=f(1-x)for...

    Text Solution

    |

  8. Let the straight line x= b divide the area enclosed by y=(1-x)^(2),y=0...

    Text Solution

    |

  9. The area of the region bounded by the curve y=e^x and lines x=0a n dy=...

    Text Solution

    |

  10. The area of the region bounded by the curves y=sqrt[[1+sinx]/cosx] and...

    Text Solution

    |

  11. Find the product of (x - 4)(x - 7)

    Text Solution

    |

  12. Consider the function defined implicitly by the equation y^3-3y+x=0 on...

    Text Solution

    |

  13. Consider the function defined implicitly by the equation y^3-3y+x=0 on...

    Text Solution

    |

  14. The area (in sqaure units) of the region {(x,y):x ge 0, x + y le 3, x^...

    Text Solution

    |

  15. The area (in sq. units) of the region {(x,y):y^(2)ge2x and x^(2)+y^(2)...

    Text Solution

    |

  16. The area (in sq units) of the region described by {(x,y):y^(2)le2x and...

    Text Solution

    |

  17. The area (in sq. units) of the quadrilateral formed by the tangents ...

    Text Solution

    |

  18. The area of the region described by A={(x,y):x^(2)+y^(2)le1 and y^(2)l...

    Text Solution

    |

  19. The area bounded by the curves y=sqrt(x),2y+3=x , and x-axis in the 1s...

    Text Solution

    |

  20. The area bounded between the parabolas x^(2)=(y)/(4) and x^(2)=9y and ...

    Text Solution

    |

  21. The area of the region enclosed by the curves y=x, x=e,y=(1)/(x) and t...

    Text Solution

    |