Home
Class 11
MATHS
The period of the function f(x) = p|sin ...

The period of the function `f(x) = p|sin x| + p^(2)|cos x| + g(p)` is `(pi)/(2)`, if p is

A

1

B

2

C

3

D

`1//2`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PERIODICITY AND EXTREME VALUES

    AAKASH SERIES|Exercise Practice Sheet (Exericise-I) Level-II (Straight Objective Type Questions)|31 Videos
  • PERIODICITY AND EXTREME VALUES

    AAKASH SERIES|Exercise Lecture Sheet (Exercise - II )(Integer Type Questions)|6 Videos
  • PERIODICITY AND EXTEME VALUES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE) LEVEL-I(MAIN) Extreme values ( Single answer type questions )|23 Videos
  • PERIODICITY EXTREME VALUES AND GRAPHS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|33 Videos

Similar Questions

Explore conceptually related problems

The period of the function f(x) = lambda| sin x| + lambda^(2) | cos x| + g (lambda) is (lambdai)/(2) , if lambda is

The period of the function f(x)=c^(sin^(2)x +sin^(2)(x+ pi/3) + cos x cos(x + pi/3)) is ( where c is constant)

The range of the function f(x)=.^(7-s)P_(x-3) is

The period of function 2^({x})+sin pi x + 3^({x//2})+ cos 2 pi x ( where {x} denote the fractional part of x) is

If range of the function f(x)=sin^(-1)x+2tan^(-1)x+x^(2)+4x+1 is [p,q], then the value of p+q is

Show that the function f (x) = x ^(p) sin ((1)/(x)) x , ne 0, f (0) =0 is continuous but not differentiable at x=0 if 0 lt p le 1.

A : Period of sin8x+ cos 2x is pi R : Period of sin ax or cos ax " is " (2pi)/(|a|)

For a gt 0, if the function f(x)=2 x^(3) - 9 a x^(2) + 12 a^(2) x + 1 attains its maximum value at p and minimum value at q such that p^(2) - q then a =

AAKASH SERIES-PERIODICITY AND EXTREME VALUES-Practice Sheet (Exericise-I) Level-I (Straight Objective Type Questions)
  1. Period of cot ((5-7x)/( 2) ) is

    Text Solution

    |

  2. Period of cos x cos(60^(@) - x) cos (60^(@) + x) is

    Text Solution

    |

  3. Period of sin(e^( tan x) + e^( cot x) ) is

    Text Solution

    |

  4. The period of sin^4 x + cos^(4) x is

    Text Solution

    |

  5. The period of sin^(3) x + cos^(3) x is

    Text Solution

    |

  6. Period of 2 sin^(3) x - 3 cos^(3) x is

    Text Solution

    |

  7. Period of cos (x+ (x)/(3) + (x)/(3^2) + …..) is

    Text Solution

    |

  8. The period of tan(x+2x+3x.... nx) is

    Text Solution

    |

  9. The period of ( tan theta -(1)/(3) tan^(3) theta ) ((1)/(3) - tan^(2) ...

    Text Solution

    |

  10. The period of the function f(theta) = sin ((theta)/( 3)) + cos ((theta...

    Text Solution

    |

  11. The period of f(x) = cos (x /3) + sin (x/2) is

    Text Solution

    |

  12. Period of cos "" (3x)/(5) + 2 sin"" (2x)/( 7) - 5 cot 14 x is

    Text Solution

    |

  13. The period of ( sin(2pix + a) )/( sin (2pix + b) ) is

    Text Solution

    |

  14. If the period of (sin nx)/( sin"" (x)/(n) ) is 4pi then n=

    Text Solution

    |

  15. Period of sin sqrt(x) + cos sqrt( x) =

    Text Solution

    |

  16. Period of tan((3pix)/(4) ) - 2 sec ((pix)/( 3)) + 5 sin((2pix)/( 5)) i...

    Text Solution

    |

  17. If f(x+k) + f(x) = 0 AA x in R and k in R^(+), then the period of f(x)...

    Text Solution

    |

  18. If f(x) is an odd periodic function with period 2, then f(4)=

    Text Solution

    |

  19. The period of the function f(x) = p|sin x| + p^(2)|cos x| + g(p) is (p...

    Text Solution

    |

  20. The period of function f(x) = {x} + tan^(2) pi x+ | sin 3pix| is

    Text Solution

    |