Home
Class 12
MATHS
The function f(x)=cos x - 2ax is monoton...

The function `f(x)=cos x - 2ax` is monotonically decreasing when-

A

`p le (1)/(2)`

B

`p ge (1)/(2)`

C

`p ge -(1)/(2)`

D

`p le -(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TIPS

    FIITJEE|Exercise ASSERTION REASONING|8 Videos
  • TIPS

    FIITJEE|Exercise MCQ (MULTIPLE CORRECT)|37 Videos
  • TIPS

    FIITJEE|Exercise ASSIGNMENT (SECTION (I): MCQ (SINGLE CORRECT)|125 Videos
  • TEST PAPERS

    FIITJEE|Exercise MATHEMATICS|328 Videos
  • TRIGNOMETRIC RATIOS AND IDENTITIES

    FIITJEE|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

The function f(x)=cos x -2 px is monotonically decreasing for

If a<0, the function f(x)=e^(ax)+e^(-ax) is a monotonically decreasing function for values of x given by

Function f(x) = sin x – cos x is monotonic increasing when -

Function f(x)=cos x-2 lambda x is monotonic decreasing when (a) lambda>1/2(b)lambda 2

For what values of x , the function f(x)=x+ (4)/(x^(2)) is monotonically decreasing

Function f(x)=(x – 1)^(2) (x – 2) is monotonically de- creasing when -

Function f(x)=2x^(3)-9x^(2)+12x+29 is monotonically decreasing when (a) x 2( c) x>3(d)'1

Write the interval in which the function f(x)=cos x is strictly decreasing.

the function (|x-1|)/(x^(2)) is monotonically decreasing at the point

FIITJEE-TIPS-OBJECTIVE
  1. f(x)=(x)/(sinx ) and g(x)=(x)/(tanx) , where 0 lt x le 1 then in the...

    Text Solution

    |

  2. Through any point (x, y) of a curve which passes through the origin, l...

    Text Solution

    |

  3. The function f(x)=cos x - 2ax is monotonically decreasing when-

    Text Solution

    |

  4. Consider the integrals I(1)=overset(1)underset(0)inte^(-x)cos^(2)xdx...

    Text Solution

    |

  5. Let f be a positive function. Let I1=int(1-k)^k xf([x(1-x)]dx , I2=i...

    Text Solution

    |

  6. The vaue of int(0)^(1)xlogx dx must be

    Text Solution

    |

  7. int dx/sqrt(x+xsqrtx) equals

    Text Solution

    |

  8. If g be a differentiable function stisfying intg(x)dx=g(x)+c, then lim...

    Text Solution

    |

  9. Let f:R->R be a function such that f((x+y)/3)=(f(x)+f(y))/3 ,f(0) = ...

    Text Solution

    |

  10. Let f(x) = [ n + p sin x], x in (0,pi), n in Z, p a prime number and [...

    Text Solution

    |

  11. The minimum value of (a^(2))/(cos^(2)x)+(b^(2))/(sin^(2)x)

    Text Solution

    |

  12. The maximum value of (logx)/xd is

    Text Solution

    |

  13. The area bounded by the tangents to the curve |y|=|e^(x)| at the point...

    Text Solution

    |

  14. The orthogonal trajectories of the circle x^(2)+y^(2)-ay=0, (where a i...

    Text Solution

    |

  15. The value of int(0)^(pi//2)(tanx log(tanx))/(sec^(2)x)dx is

    Text Solution

    |

  16. lim(xrarrpi//2)(cos((pi)/(2)sin^(2)x))/(cot((pi)/(2)sin^(2)x)) equals

    Text Solution

    |

  17. The domain of the function sqrt(cos (tan^(-1).(1)/((1-|1-|x||))) is

    Text Solution

    |

  18. If area bounded by y=logx, y = x and x^(2)+y^(2)+2xy-k^(2)=0 is sq. un...

    Text Solution

    |

  19. The value of the parameter a(a>=1) for which the area of the figure bo...

    Text Solution

    |

  20. Solution of equation ylog((e )/(x))(dx)/(dy)+xlogx=x^(2) is

    Text Solution

    |