Home
Class 12
MATHS
The maximum values of 3 costheta+5sin(th...

The maximum values of `3 costheta+5sin(theta-(pi)/(6))` for any real value of `theta` is:

A

`sqrt19`

B

`sqrt((79)/(2))`

C

`sqrt31`

D

`sqrt34`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Question for Previous Year.s B-Architecture Entrance Examination Papers|27 Videos

  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Exercise ( NUMERICAL ANSWER TYPE QUESTIONS)|17 Videos

  • AREA BY INTEGRATION

    MCGROW HILL PUBLICATION|Exercise Question from Previous Years. B-Architecture Entrance Examination Papers|12 Videos

Similar Questions

Explore conceptually related problems

Find the maximum and minimum value of 5cos theta+3sin(theta+(pi)/(6)) for all real values of theta . Find the minimum value of costheta+cos2theta for all real values of theta . Find the maximum and minimum value of cos^(2)theta-6sin thetacos theta+3sin^(2)theta+2 .

The maximum value of 5sin theta+3sin(theta+(pi)/(3))+3 is

Find maximum and minium value of 5costheta+3sintheta(theta+pi/6) for all real values of theta .

The maximum value of 5costheta+3cos(theta+pi/3)+3 is:

The Maximum value of cos^(6)theta+sin^(6)theta is :

can6sin^(2)theta-7sin theta+2=0 for any real value of theta?

The maximum value of 1+sin((pi)/(6)+theta)+2cos((pi)/(3)-theta) for real values of theta is

The maximum value of 1+sin((pi)/(4)+theta)+2cos((pi)/(4)-theta) for real values of theta is

MCGROW HILL PUBLICATION-APPLICATIONS OF DERIVATIVES-Question for Previous Year.s AIEEE/JEE Main Paper
  1. A tangent drawn to the curve y = f(x) at P(x, y) cuts the x and y axes...

    Text Solution

    |

  2. If a point P has co-ordinates (0, -2) and Q is any point on the circle...

    Text Solution

    |

  3. The function f defined by f(x) = x^(3) - 6x^(2) - 36 x + 7 is incr...

    Text Solution

    |

  4. Twenty metres of wire is available for fencing off a flower-bed in ...

    Text Solution

    |

  5. Let f(x) be a polynomial of degree four having extreme values at x=1 a...

    Text Solution

    |

  6. If the curves y^2=6x, 9x^2+by^2=16 intersect each other at right angle...

    Text Solution

    |

  7. If a right circular cone, having maximum volume is inscribed in a sphe...

    Text Solution

    |

  8. Let f(x)=x^2+(1/x^2) and g(x)=x-1/x xinR-{-1,0,1}. If h(x)=(f(x)/g(x)...

    Text Solution

    |

  9. if theta denotes the acute angle between the curves, y = 10-x^2" and "...

    Text Solution

    |

  10. The tangent to the curve yt=xe^(x^2) passing through the point (1,e) a...

    Text Solution

    |

  11. The tangent to the curve y=x^2-5x+5. parallel to the line 2y=4x+1, als...

    Text Solution

    |

  12. The equation of a tangent to the parabola, x^(2) = 8y, which makes an ...

    Text Solution

    |

  13. Let f(x) = - (x)/(sqrt(a^(2) + x^(2)))- (d-x)/(sqrt(b^(2) + (d-x)^(2))...

    Text Solution

    |

  14. Find the area of the largest rectangle with lower base on the x-axis a...

    Text Solution

    |

  15. The maximum values of 3 costheta+5sin(theta-(pi)/(6)) for any real val...

    Text Solution

    |

  16. Let f(x)=x^3-3(a-2)x^2+3ax+7 and f(x) is increasing in (0,1] and decre...

    Text Solution

    |

  17. The maximum value of the function f(x)=3x^(3)-18x^(2)+27x-40 on the s...

    Text Solution

    |

  18. A helicopter flying along the path y=7+x^((3)/(2)), A soldier standint...

    Text Solution

    |

  19. The shortest distance between the point ((3)/(2),0) and the curve y=sq...

    Text Solution

    |

  20. The maximum volume (in cu.m) of the right circular cone having slant h...

    Text Solution

    |