Home
Class 11
MATHS
If f(x)=(x)/(sinx)andg(x)=(x)/(tanx), wh...

If `f(x)=(x)/(sinx)andg(x)=(x)/(tanx)`, where `0ltxle1` , then in this interval

A

both f(x) and g(x) are increasing functions

B

both f(x) and g(x) are decreasing functions

C

f(x) is an increasing function

D

g(x) is an increasing funtion

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II (LECTURE SHEET )(ADVANCED)) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|10 Videos

  • MAXIMA AND MINIMA

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

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -II) (LEVEL -II)(INTEGER TYPE QUESTIONS)|4 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

Lt_(x to 0)(sinx)^(tanx)=

If f(x)=sin(sinx) an f f'(x) +tan xf'(x)+g(x)=0 , then g(x) is :

If f(x)=(cosx+ sinx)/(tanx+cotx) then function f(x) is

If f(x)=(a-x^(n))^(1//n) , where a gt 0 and n is a positive integer, then f[f(x)]=

Let F(x) = f(x) +g(x) , G(x) = f(x) - g( x) and H(x) =(f( x))/( g(x)) where f(x) = 1- 2 sin ^(2) x and g(x) =cos (2x) AA f: R to [-1,1] and g, R to [-1,1] Now answer the following If the solution of F(x) -G (x) =0 are x_1,x_2, x_3 --------- x_n Where x in [0,5 pi] then

At x=0 f(x) = sinx-x

Lt_(x to 0)((1)/(x))^(tanx)=

AAKASH SERIES-MAXIMA AND MINIMA -ADDITIONAL PRACTICE EXERCISE (LEVEL - I (MAIN)) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. The number of solutions of the equation x^(3)+2x^(2)+5x+2cosx=0 in [0,...

    Text Solution

    |

  2. If f(x) = a log |x| + bx^(2) + x has extreme values at x = -1 and x = ...

    Text Solution

    |

  3. If f(x)=(x)/(sinx)andg(x)=(x)/(tanx), where 0ltxle1 , then in this int...

    Text Solution

    |

  4. For all a ,b I R the functio f(x)=3x^(4)-4x^(3)+6x^(2)+ax+b has

    Text Solution

    |

  5. There are 50 apple trees in an orchard Each tree produces 800 apples ....

    Text Solution

    |

  6. Let f:RtoR be a differentiable function AAxinR . If the tangent drawn ...

    Text Solution

    |

  7. If f(x)=|x|-{x} where {x} denotes the fractional part of x , then f(x)...

    Text Solution

    |

  8. Function f(x)=|x|-|x-1| is monotonically increasing when

    Text Solution

    |

  9. If f(x)=x+sinx,g(x)=e^(-x),u=sqrt(x+1)-sqrt(c )v=sqrt(c )-sqrt(c-1)(cg...

    Text Solution

    |

  10. f(x)=|xlog(e )x|monotonically decreases in

    Text Solution

    |

  11. Given that f(x)gtg(x) for all real x, and f(0)=g(0). Then f(x)ltg(x)...

    Text Solution

    |

  12. Let f(x) be a function defined as follows : f(x)=sin(x^(2)-3x),xle0,an...

    Text Solution

    |

  13. The number of real roots of the equation e^(x-1)+x-2=0 is

    Text Solution

    |

  14. The greatest value of the function f(x)=(sin2x)/(sin(x+(pi)/(4))) on t...

    Text Solution

    |

  15. A function f is defined by f(x)=|x|^(m)|x-1|^(n)AAx inR . The local ma...

    Text Solution

    |

  16. Let the function f (x) be defined as follows : f(x)={{:(x^(3)+x^(2)-10...

    Text Solution

    |

  17. A differentiable function f(x) has a relative minimum at x=0 Then the ...

    Text Solution

    |

  18. The largest term in the sequence a(n)=(n^(2))/(n^(3)+200) is given by

    Text Solution

    |

  19. The number of values of k for which the equation x^(3)-3x+k=0 has two ...

    Text Solution

    |

  20. Conisider the function f(x) =x cosx-sinx . Then identify the statement...

    Text Solution

    |