Home
Class 11
MATHS
If f(x) = 2+ cos^(2) x + sec^(2) x, its ...

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

A

`f(x) lt 1`

B

`f(x) = 1`

C

`2 gt f(x) gt 1`

D

`f(x) ge 4`

Text Solution

Verified by Experts

The correct Answer is:
D
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

Minimum value of 24 cos^(2) x+ 16 sec^(2) x is

If f(x) = cos|e^(2)| x + cos[-e^(2)]x where [x] stands for greatest integer function, then

If f(x)= cos [pi ^(2) ] x+ cos [-pi ^(2) ] x, where [x] stands for the greatest integer functions , then

the least value of cos ^2 x + sec ^2 x is

If f(x) = cos x,0 le x le ( pi )/( 2) , then the real number 'c' of the mean value theorem 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

    |