Home
Class 11
MATHS
If 0 le x le (pi)/(3) then range of f(x)...

If `0 le x le (pi)/(3)` then range of `f(x) = sec ((pi)/(6) - x) + sec((pi)/(6)+x)` is

A

`((4)/(sqrt(3)),oo)`

B

`[(4)/(sqrt(3)),oo)`

C

`(0, (4)/(sqrt(3))]`

D

`(0, (4)/(sqrt(3)))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PERIODICITY AND EXTREME VALUES

    AAKASH SERIES|Exercise Lecture Sheet (Exercise - II )(More than one correct answer type questions)|4 Videos
  • PERIODICITY AND EXTREME VALUES

    AAKASH SERIES|Exercise Lecture Sheet (Exercise - II )(Statement Type Questions)|3 Videos
  • PERIODICITY AND EXTREME VALUES

    AAKASH SERIES|Exercise Practice Sheet (Exericise-I) Level-II (Straight Objective Type Questions)|31 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 cos (x+ (pi)/(6)) cos (x-(pi)/(6)) is

f(x) = {{:(xsinx " if " 0 ltx le(pi)/(2)),((pi)/(2)sin(pi + x )" if " (pi)/(2) lt x lt pi):} then f(x) is discontinuous at

If 0 le x le 2 pi , then the number of solution of 3 (sin x + cos x) - 2 (sin^(3)x + cos^(3) x) = 8 is

The value of 'x' in Lagrange's mean value theorem for f(x) = log (sinx ) in [(pi)/( 6), ( 5pi )/(6)] is

If 0 le x le 2 pi and |cos x| le sin x , then

Given A={x:(pi)/(6) le x le (pi)/(3)} and f(x)=cosx-x(1+x) , then f(A)=

If 0 le x le pi, 4^(sin^(2)) + 4 ^(cos^(2)x) = 5 , then x =

AAKASH SERIES-PERIODICITY AND EXTREME VALUES-Lecture Sheet (Exercise - II) (Straight Objective Type Questions)
  1. If | cos theta{ sin theta + sqrt( sin^(2) theta + sin^(2) alpha)}|le k...

    Text Solution

    |

  2. The minimum and maximum values of cos x + 3sqrt(2)sin(x+(pi)/(4)) + 6 ...

    Text Solution

    |

  3. The minimum value of (1 )/( sqrt(7) sin x+ sqrt(29) cos x+ 7) is

    Text Solution

    |

  4. If U=sqrt(a^(2)cos^(2) theta+ b^(2) sin^(2) theta)+ sqrt(b^(2)cos^(2) ...

    Text Solution

    |

  5. Asserton (A ) : 2^(sin theta) + 2 ^(cos theta) le 2^(1-(1)/(sqrt(2)) ...

    Text Solution

    |

  6. Let A = sin^(8) + cos^(14) theta , then for all real theta

    Text Solution

    |

  7. The minimum value of 2costheta+(1)/(sintheta)+sqrt(2)tan theta in (0, ...

    Text Solution

    |

  8. If 0 le x le (pi)/(3) then range of f(x) = sec ((pi)/(6) - x) + sec((p...

    Text Solution

    |

  9. The maximum value of ( cos alpha1) ( cos alpha2) … ( cos alphan) under...

    Text Solution

    |

  10. If tan x = n tan y, nin R' then the maximum value of sec^(2)(x-y) is e...

    Text Solution

    |

  11. If ABC is a triangle and tan"" (A)/(2) , tan"" (B)/(2) , tan "" (C )/(...

    Text Solution

    |

  12. For any real theta, the maximum value of cos^(2) ( cos theta) + sin^(2...

    Text Solution

    |

  13. If A ge 0, B ge 0, A + B = (pi)/(3) and y = tan A. tan B then

    Text Solution

    |

  14. If y= ( sin^(4) x - cos^(4) x + sin^(2) x cos^(2) x )/( sin^(4) x + co...

    Text Solution

    |

  15. The maximum value of expression |sqrt(sin^(2)x+2a^(2))-sqrt(2a^(2)-1-c...

    Text Solution

    |

  16. If a sin x + b cos ( x+ theta) + b cos ( x-theta)=d, then the minimum ...

    Text Solution

    |

  17. The minimum vertical distance between the graphs of y = 2 + sin x and ...

    Text Solution

    |

  18. Let P(x) = ((1- cos 2 x + sin 2x)/(1+ cos2x + sin2x))^(2) + ((1+ cot x...

    Text Solution

    |

  19. If A gt 0 , B gt 0 and A+B = (pi)/(6), then the minimum value of tan A...

    Text Solution

    |

  20. If m and M are the minimum and the maximum values of 4 + (1)/(2) sin^(...

    Text Solution

    |