Home
Class 11
MATHS
tan x gt x when x lies in...

tan x `gt ` x when x lies in

A

`(0,(pi)/(2))`

B

`((pi)/(2),pi)`

C

`(-(pi)/(2),0)`

D

`((-pi)/(2),(pi)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -I) (LEVEL -II) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|16 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -I) (LEVEL -II) (MATRIX MATCHING TYPE QUESTIONS |2 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -II) (INTEGER TYPE QUESTIONS)|3 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I (LEVEL-II (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS ) )|2 Videos

Similar Questions

Explore conceptually related problems

IF x^2 - 2x +3 gt 0 , 2x^2 + 4 x + 3 gt 0 then x lies in the interval

If (cot^(-1)x)^(2)-7(cot^(-1)x)+10 gt 0 , then x lies in the interval

If sqrt(2) sin^2 x + (3sqrt(2) + 1) sin x + 3 gt 0 and x^2 - 7x + 10 lt 0 , then x lies in the interval

Show that (x)/(1+x^(2)) lt tan^(-1) x lt x when x gt 0 .

If f(x)= tan x - x then The least +ve value of 'x' for which f(x)=0 lies in the quadrant

The least positive value of x, satisfying tan x = x + 1, lies in the interval is

(dy)/(dx) = y tan x, y = 1 when x = 0

AAKASH SERIES-MAXIMA AND MINIMA -PRACTICE SHEET (EXERCISE -I) (LEVEL -I) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. f(x)=tan^(-1)(sinx) is decreasing in

    Text Solution

    |

  2. f(x)=sinx-ax is decreasing in R if

    Text Solution

    |

  3. tan x gt x when x lies in

    Text Solution

    |

  4. f(x)=2x-Tan^(-1)x-log(x+sqrt(1+x^(2))(xgt0) is increasing in

    Text Solution

    |

  5. In (0,(pi)/(2)),f(x)=xsinx+cosx+(1)/(2)cos^(2)x is

    Text Solution

    |

  6. f(x)=(1)/(2)sinxtanx-log(secx) is increasing in

    Text Solution

    |

  7. The function f(x)=cosx-2lambda x is monotonicallly decreasing when

    Text Solution

    |

  8. The function f(x)=Tan^(-1) (sinx+cosx) is an increasing function in

    Text Solution

    |

  9. On which the following intervals in the function x^(100)+sinx-1 decre...

    Text Solution

    |

  10. The function x^x is decreases in

    Text Solution

    |

  11. The function f(x)=sum(K=1)^(5)(x-K)^(2) assumes the minimum value of x...

    Text Solution

    |

  12. Let f(x)=xsqrt(4ax-x^(2)),(agt0) . Then f(x) is

    Text Solution

    |

  13. If phi(x) is polynomial function and phi(x)gtphi(x)AAxge1andphi(1)=0,t...

    Text Solution

    |

  14. Let f(x) be a function such that f'(x)=log(1//3)[log(3)(sinx+a)]. If f...

    Text Solution

    |

  15. f:RtoR,f(x) is differentiable such that f(f(x))=k(x^(5)+x),(kne0). T...

    Text Solution

    |

  16. f(x)=4tanx-tan^(2)x+tan^(3)x,xnenpi+(pi)/(2),

    Text Solution

    |

  17. f(x)=(asinx+b cosx)/( csinx+dcosx) is an increasing funtion if

    Text Solution

    |

  18. f(x)=(sinx)/(x) is

    Text Solution

    |

  19. Let h(x)=f(x)-[f(x)]^(2)+[f(x)]^(3) for every real number 'x' then

    Text Solution

    |

  20. The stationary points of f(x) =x^(3)-9x^(2)+24x-12are

    Text Solution

    |