Home
Class 11
MATHS
The range of f(x)=-3 cos sqrt(3x+x+x^(2)...

The range of `f(x)=-3 cos sqrt(3x+x+x^(2))` is

A

[-1,1]

B

[-2,2]

C

[-3,3]

D

[-4,4]

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PERIODICITY AND EXTREME VALUES

    AAKASH SERIES|Exercise Practice Sheet (Exericise-I) Level-I (Straight Objective Type Questions)|20 Videos

  • PERIODICITY AND EXTEME VALUES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE) LEVEL-I(MAIN) Extreme values ( Single answer type questions )|23 Videos

  • PERIODICITY EXTREME VALUES AND GRAPHS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|33 Videos

Similar Questions

Explore conceptually related problems

The range of f(x)=10-|3-2x| is

The range of f(x)=cos^(-1)((sqrt(2x^(2)+1))/(x^(2)+1)) is

The range of f(x)=5cos x-12 sin x+7 is

The range of f: R to R ,f(x) = ((sqrt(( x^(2)+ 1 ))- 3x))/( sqrt( x^(2) +1)+x) is

The period of f(x ) = cos 3x + sin sqrt(3) x is

AAKASH SERIES-PERIODICITY AND EXTREME VALUES-Practice Sheet (Exericise-I) Level-II (Straight Objective Type Questions)
  1. A+B = 90^(@) rArr cos A cos B in

    Text Solution

    |

  2. A+B = 90^(@) rArr sin A + sin Bin

    Text Solution

    |

  3. The range of cos^(2) x + sin^(4) x is

    Text Solution

    |

  4. The range of f(x)=-3 cos sqrt(3x+x+x^(2)) is

    Text Solution

    |

  5. The minimum and maximum values of 8 cos 3x - 15 sin3x are

    Text Solution

    |

  6. The maximum value of (3 ) /( 5 sin x-12 cos x+19) is

    Text Solution

    |

  7. cos5x=16 cos^(5) x -20 cos^(3) x +5 cos x in

    Text Solution

    |

  8. 3 sin^(2) x -4 cos^(2) x in

    Text Solution

    |

  9. The maximum value of cos x ((cos x )/( 1- sin x) + (1- sin x)/( cos x)...

    Text Solution

    |

  10. Minimum value of 9 sec^(2) theta + 4 cosec^(2) theta + 7 is

    Text Solution

    |

  11. The minimum value of the expression sin alpha + sin beta+sin lambda, w...

    Text Solution

    |

  12. If a le 3 cos x + 5 sin ( x - pi//6) le b for all x , then ( a, b) is

    Text Solution

    |

  13. cos^(2) (60^(@) - x) + cos^(2) (60^(@) +x) in

    Text Solution

    |

  14. cos^(2) (60^(@) - x) + cos^(2) (60^(@) +x) in

    Text Solution

    |

  15. sin^(2) x + 4 sin x+5 in [k, 5k ] rArr k =

    Text Solution

    |

  16. The least value of cos^(2) theta - 6 sin theta.cos theta+ 3 sin^(2) th...

    Text Solution

    |

  17. The minimum value of Sinx ((1-cos x)/(sin x) + (sin x)/( 1-cos x)) ...

    Text Solution

    |

  18. If f(x) = 2+ cos^(2) x + sec^(2) x, its value always is

    Text Solution

    |

  19. A + B = 90^(@) rArr cos A - cos B in

    Text Solution

    |

  20. The minimum value of 27 tan^2 theta+3 cot ^2 theta is

    Text Solution

    |