Home
Class 12
MATHS
The maximum of the function 3 cos x - 4 ...

The maximum of the function 3 cos x - 4 sinx is 

A

2

B

3

C

4

D

5

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|367 Videos
  • MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|251 Videos

Similar Questions

Explore conceptually related problems

The maximum value of the function f(x) = sin (x+pi/6)+ cos (x+pi/6) in the interval (0, pi/2) occurs at

The maximum value of sin x. cos x is

Find the integrals of the functions cos 2x cos 4x cos 6x

The maximum of 4 sin^(2)x + 3 cos^(2)x is

Find the integrals of the functions (cosx-sinx)/(1+sin2x)

Find the integrals of the functions sin 3x cos 4x

The maximum of 4sin^(2)x+3cos^(2)x is

HIMALAYA PUBLICATION-MAXIMA AND MINIMA-QUESTION BANK
  1. Let the function f:RtoR be defined by f(x)=2x+cosx. Then f

    Text Solution

    |

  2. The maximum of 4 sin^(2)x + 3 cos^(2)x is

    Text Solution

    |

  3. The maximum of the function 3 cos x - 4 sinx is

    Text Solution

    |

  4. A population p(t) of 1000 bacteria introduced into nutrient medium gro...

    Text Solution

    |

  5. A circular sector of perimeter 60 metre with maximum area is to be con...

    Text Solution

    |

  6. The range in which y = - x^(2) + 6x -3 is increasing is

    Text Solution

    |

  7. The function f(x)=cot^(-1)x +x increases in the interval :

    Text Solution

    |

  8. The greatest value of f(x)=(x+1)^(1//3)-(x-1)^(1//3) on [0, 1] is :

    Text Solution

    |

  9. The real number x when added to its inverse gives the minimum value of...

    Text Solution

    |

  10. If the function f(x)=2x^(3)-9ax^(2)+12a^(2)x+1, where a gt0 attains it...

    Text Solution

    |

  11. The function f(x)=(x)/(2)+(2)/(x) has a local minimum at :

    Text Solution

    |

  12. A triangular park is enclosed on two sides by a fence and on the third...

    Text Solution

    |

  13. If x is real, the maximum value of (3 x^(2)+9 x+17)/(3 x^(2)+9 x+7) is

    Text Solution

    |

  14. Let x and y be two variables such that x gt 0 and xy =1. Then the mini...

    Text Solution

    |

  15. The maximum value of the function f(x) = sin (x+pi/6)+ cos (x+pi/6) in...

    Text Solution

    |

  16. The function f(x) is defined by f(x) = (x+2)e^(-x) is

    Text Solution

    |

  17. The function f(x) = sin^(4)x + cos^(4) x increases if

    Text Solution

    |

  18. Consider the following statements S and R S : Both sin x and cos x ar...

    Text Solution

    |

  19. Let f(x) = {(|x|, for 0 <|x| < 2)= 1,for x =0 } Then at x = 0, f (x) ...

    Text Solution

    |

  20. The length of the largest interval, in which the function 3 sin x - 4 ...

    Text Solution

    |