Home
Class 12
MATHS
The minimum value of sec x, x in [(2pi)/...

The minimum value of `sec x, x in [(2pi)/(3),pi]` is ……….

A

1

B

`-2`

C

2

D

`pi`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK|51 Videos
  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)|24 Videos
  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|85 Videos
  • ANNUAL EXAMINATION :SAMPLE PAPER

    KUMAR PRAKASHAN|Exercise PART-B ( SECTION-C)|10 Videos
  • APPLICATION OF INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER ( SECTION -D)|2 Videos

Similar Questions

Explore conceptually related problems

The maximum value of cosec x, x in [(pi)/(6), (pi)/(3)] is ………

Find the maximum and minimum values of x+sin(2x) on [0, 2pi] .

If 0ltxlt(pi)/(2) , then the minimum value of 2(sinx+cosx+cosec 2x)^3 is

Find local maximum and minimum value of f(x)=sin^(4)x + cos^(4)x, x in[0, (pi)/(2)] .

The number of values of y in [-2pi,2pi] satisfying the equation abs(sin2x)+abs(cos2x)=abs(siny) is

0 lt theta lt (pi)/(2) then the minimum value of sin^(3) theta + cosec^(3) theta is……

The number of values of x in the interval [0, 3pi] satisfying the equation 2sin^2x + 5sin x- 3 = 0 is

The value of cosec(pi/18)-sqrt3sec(pi/18) is a

Find the absolute maximum value and the absolute minimum value of the functions in the given intervals: f (x) = sin x + cos x , x in [0,pi]

f(x) = (1- tan x)/(4x-pi), x ne (pi)/(4) . If the function f(x), x in [0, (pi)/(2)) is continuous then find f((pi)/(4)) .

KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -TEXTBOOK BASED MCQS
  1. Find the points on the curve x^(2)+y^(2)-2x-3=0 at which the tangents ...

    Text Solution

    |

  2. The point on y^(2)=x where tangent makes angle of measure (pi)/(4) wit...

    Text Solution

    |

  3. A cone with its height equal to the diameter of the base is expanding ...

    Text Solution

    |

  4. The rate of increase of f(x)=x^(3)-5x^(2)+5x+25 is twice the rate of i...

    Text Solution

    |

  5. The radius of the cone is increasing at the rate of 4 cm/se. Its heigh...

    Text Solution

    |

  6. The rate of change of surface area of a sphere w.r.t. radius is ………..

    Text Solution

    |

  7. The rate of change of volume of a cylinder w.r.t. radius whose radius ...

    Text Solution

    |

  8. f(x)=tan^(-1)x-x, is …………

    Text Solution

    |

  9. f(x)=2x-tan^(-1)x-log|x+sqrt(1+x^(2))| is ……….. (x in R)

    Text Solution

    |

  10. If ……….., then f(x)=x^(2)-kx+20, [0,3] is strictly increasing.

    Text Solution

    |

  11. f(x)=|x-1|+|x-2| is increasing if ………..

    Text Solution

    |

  12. The points on the curve 9y^(2)=x^(3), where the normal to the curve ma...

    Text Solution

    |

  13. y=mx+4 touches y^(2)=8x, if m = ………..

    Text Solution

    |

  14. The measure of the angle between the curves y=2 sin^(2)x and y = cos 2...

    Text Solution

    |

  15. The normal to x^(2)=4y passing through (1, 2) has equation ……….

    Text Solution

    |

  16. The local minimum value of x^(2)+(16)/(x)(x ne 0) is ………….

    Text Solution

    |

  17. The minimum value of sec x, x in [(2pi)/(3),pi] is ……….

    Text Solution

    |

  18. The maximum value of cosec x, x in [(pi)/(6), (pi)/(3)] is ………

    Text Solution

    |

  19. (31)^((1)/(5)) has approximate value ………..

    Text Solution

    |

  20. f(x)=x^(2)+4x+5 has minimum value ………… (x in R)

    Text Solution

    |