Home
Class 12
MATHS
The function f(x)= tan^(-1) (sin x + cos...

The function `f(x)= tan^(-1) (sin x + cos x ), x gt 0 ` is always an increasing function on the interval-

A

`(0, pi)`

B

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

C

`(0, (pi)/(4))`

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 6|30 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 7|30 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 4|30 Videos
  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos
  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 9|66 Videos

Similar Questions

Explore conceptually related problems

The function f(x)=tan^(-1) (sin x+ cos x) is an increasing function in (-pi/2, pi/k) , then find k.

Show that f(x)=tan^(-1)(cos x+sin x) is a stictly increasing function in the interval (0, pi/4) .

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

The range of the function f(x) = sin x + cos x is

The function f(x)= (lamda sin x + 6 cos x )/(2 sin x + 3 cos x) is monotonic increasing when-

The function f(x)=tan^(-1)x-x decreases in the interval

If the function f(x)=(a sin x+2 cos x)/(sin x + cos x) is strictly increasing for all values of x, then a gt k , find k.

The function f(x)=sin^4x+cos^4x increasing if :

The function f(x)= 2x^(3)-15x^(2) +36x + 1 is increasing in the interval-

The minimum value of the function f(x)= sin x + cos x is-

CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 5
  1. The normal to the curve x= a(1 + cos theta ) , y= a sin theta at the ...

    Text Solution

    |

  2. If the area bounded by the parabola y= ax^(2) and x= ay^(2) , a gt 0...

    Text Solution

    |

  3. The locus of the middle point of the intercept of the tangent drawn fr...

    Text Solution

    |

  4. Which one of the following definite integrals represents the area inc...

    Text Solution

    |

  5. A normal to the parabola y^(2)=5x makes an angle 45^(@) with the x-ax...

    Text Solution

    |

  6. If the tangents to the graph of the function y= f(x) make angle (pi)/(...

    Text Solution

    |

  7. The maximum value of xy when x+2y=8 is

    Text Solution

    |

  8. The function f(x)= tan^(-1) (sin x + cos x ), x gt 0 is always an inc...

    Text Solution

    |

  9. The points of extrema of the function f(x)= int(0)^(x)(sin t)/(t)dt i...

    Text Solution

    |

  10. The minimum value of the function f(x)= sin x + cos x is-

    Text Solution

    |

  11. The perimeter of a sector is p , then the area of the sector is maxim...

    Text Solution

    |

  12. The value of a ( a ge 3) for which the sum of the cubes of the roots ...

    Text Solution

    |

  13. If f(x)= x^(3) + (1)/(x^(3) )(x ne 0), then its greatest value is-

    Text Solution

    |

  14. The nearest point on the line 3x- 4y = 25 from the origin is

    Text Solution

    |

  15. If the slope of the tangent at (x, y) to a curve passing through the p...

    Text Solution

    |

  16. An open box, with a square base, is to be made out of a given quantity...

    Text Solution

    |

  17. If the radius of a sphere is measured as 5 m with an error of 0.02 m, ...

    Text Solution

    |

  18. If the volume of a sphere increases at a constant rate, then the rate ...

    Text Solution

    |

  19. Let A(0, 75), B(90, 0) , C(60, 40) and D(45, 25) be the corner points ...

    Text Solution

    |

  20. If f(x)= 2x^(2) + 10 x - 7 , then the approximate value of f(2.05) i...

    Text Solution

    |