Home
Class 11
MATHS
A single formula that gives f(x) for all...

A single formula that gives f(x) for all `x gt 0`, where `f(x)={(2+x",",0lex lt 2),(3x-2",",x ge 2):}` is

A

`f(x)=|x-2|+2x`

B

`f(x)=|2x-1|+x`

C

`f(x)=|3x-1|-3`

D

`f(x)=|3x-2|+1`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise ALGEBRA OF MATRICES|24 Videos

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise DETERMINANTS|33 Videos

  • 3D-COORDINATE SYSTEM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|40 Videos

  • CHANGE OF AXES

    AAKASH SERIES|Exercise Practice Exercise|29 Videos

Similar Questions

Explore conceptually related problems

If f: R to R defined by f(x) ={{:(2x+5, if, x gt 0),(3x-2, if, x le 0):} then f is

Discuss the continuity of f(x) in [0,2] where f(x) = {{:([cos pi x]" , " x le 1),(| 2x - 3 |.[ x- 2]" ," x gt 1):} where [.] denotes the G.I.F.

The function f(x)={{:(,3x-1,"if "x lt 1),(,x^(2),"if "x gt 2):}} is continous

Find all points of dicontinuity of f, where f(x)={{:((sinx)/(x)," if "x lt 0),(x+1," if "x ge 0):} .

Find Lt_(x to 0)f(x) where f(x)={{:(x-1,if gt0),(0, if x=0),(x+1, if x gt 0):}

Find all points of discontinuity of f, where f is defined by f(x) = {{:(2x+3," if "x le 2),(2x-3," if "x gt 2):} .

AAKASH SERIES-APPENDICES (REVISION EXERCISE)-MULTIPLE PRODUCT OF TWO VECTORS
  1. A single formula that gives f(x) for all x gt 0, where f(x)={(2+x",",0...

    Text Solution

    |

  2. If veca, vecb, vecc are three coplanar vectors, barp, barq, barr are n...

    Text Solution

    |

  3. If veca, vecb, vecc are three coplanar vectors, barp, barq, barr are n...

    Text Solution

    |

  4. If bara=3bari+2barj+bark,barb=bari+barj+2bark and barc=bari+3barj+3bar...

    Text Solution

    |

  5. Let G(1),G(2),G(3) be the centroids of the triangular faces OBC, OCA, ...

    Text Solution

    |

  6. bara,barb,barc are non coplanar and bard=x(bara xx barb) +y(barb xx ba...

    Text Solution

    |

  7. barb and barc are non collinear vectors. bara is a vector such that b...

    Text Solution

    |

  8. Let bara=bari+2hatj+3hatk, barb= -bari+2hatj+3bark, barc=3hati+hatj an...

    Text Solution

    |

  9. If bara, barb, barc are three vectors of magnitudes sqrt(3), 1, 2 such...

    Text Solution

    |

  10. The angle between the line barr=(2bari-barj+bark)+lambda(bari-barj+bar...

    Text Solution

    |

  11. If barb, barc are two unit vectors along the positive x, y axes, and b...

    Text Solution

    |

  12. If x(bara xx barb) +y(barb xx barc)+z(barc xx bara)=barr and [(bara, b...

    Text Solution

    |

  13. If A=(1, -2, -1), B= (4, 0, -3), C = (1, 2, -1), D=(2, -4, -5), then d...

    Text Solution

    |

  14. A tetrahedron of volume V = 5 has three of its vertices at the points ...

    Text Solution

    |

  15. If bara, barb, barc are three vectors such that |barb|=|barc| then {(...

    Text Solution

    |

  16. Angle between the line barr = (-bari+3barj+3bark)+t(2bari+3barj+6bark)...

    Text Solution

    |

  17. If 4x + i(3x-y) =3+ i(-6), where x and y are real numbers, then find t...

    Text Solution

    |

  18. If bara=(1)/(sqrt(10)) (3bari+bark) and barb=(1)/(7)(2bari+3barj-6bar...

    Text Solution

    |

  19. The vectors veca and barb are not perpendicular and barc and bard are ...

    Text Solution

    |

  20. If vecx=3hati-6hatj-hatk, vecy=hati+4hatj-3hatk and vecz=3hati-4hatj-1...

    Text Solution

    |

  21. Let veca = 2 hati+hatj-2hatk, vecb=hati+hatj. If vecc is a vector suc...

    Text Solution

    |