Home
Class 12
MATHS
The minimum value of the function f(x)...

The minimum value of the function
`f(x)=(3 sin x - 4 cos x - 10)(3 sin x + 4 cos x-10)`, is

A

49

B

`(195-60sqrt(2))/(2)`

C

84

D

48

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|21 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise For Session 11|10 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 Videos

Similar Questions

Explore conceptually related problems

The minimum value of the function f(x)=(3sin x-4cos x-10)(3sin x+4cos x-10) is

The maximum value of the function 4cos x+3sin x+20

The maximum value of the function f(x)=3sin x4cos x-(7)/(3) will be given by

Minimum value of the function f(x)=(1+sin x)(1+cos x)AA x in R, is

Range of function f(x)=3|sin x|-4|cos x|

The minimum period of the function f(x)=(|sin x|+|cos x|)/(|sin x-cos x|) is

f(x)=5+3sin x+4cos x

Range of values of the function y=log_(3)[(3sin x+4cos x+10)/(3sin x+4cos x)] is equal to

The minimum value of sqrt((3sin x-4cos x-10)(3sin x+4cos x-10)) is

The period of the function f(x)=|sin 3x|+| cos 3x| , is

ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Single Option Correct Type Questions)
  1. The value of sum(k=1)^10(sin(2pik)/11-icos(2pik)/11) is

    Text Solution

    |

  2. Given a^2+2a+c o s e c^2(pi/2(a+x))=0 then, which of the following hol...

    Text Solution

    |

  3. The minimum value of the function f(x)=(3 sin x - 4 cos x - 10)(3 si...

    Text Solution

    |

  4. The value of the expression sum(theta =0)^8 1/(1 + tan^3 (10theta)^@) ...

    Text Solution

    |

  5. the value of sqrt(1-sin^2 11 0^(@))*sec11 0^(@)

    Text Solution

    |

  6. If tan alpha ,tan beta are th roots of the eqution x^2+px+q=0 (p !=...

    Text Solution

    |

  7. sin(pi/2^2009)cos(pi/2^2009)cos(pi/2^2008).....cos(pi/2^2) is

    Text Solution

    |

  8. If tanB= (nsinA cosA)/(1-ncos^2A)then tan(A +B) equals

    Text Solution

    |

  9. If P = (tan(3^(n+1)theta - tantheta)

    Text Solution

    |

  10. The value of (cos^4 1^@+cos^4 2^@+....+cos^4 179^@)-(sin^4 1^@+sin^4 2...

    Text Solution

    |

  11. Suppose that 'a' is a non-zero real number for which sin x+sin y=a and...

    Text Solution

    |

  12. Let P(x)=sqrt(( cosx +cos2x+cos3x)^2+ (sin x + sin 2x+sin3x)^2) then P...

    Text Solution

    |

  13. If the maximum value of the expression 1/(5sec^2theta-tan^2theta+4cose...

    Text Solution

    |

  14. Let fn(a)=(sinalpha+sin3alpha+sin5alpha+...+sin(2n-1)alpha)/(cosalpha+...

    Text Solution

    |

  15. The minimum value of |sinx+cosx+(cosx+sinx)/(cos^(4)x-sin^(4)x)| is

    Text Solution

    |

  16. If a = cos (2012 pi), b = sec (2013 pi) and c = tan (2014 pi) then

    Text Solution

    |

  17. In a Delta ABC, the minimum value of sec^(2). (A)/(2)+sec^(2). (B)/...

    Text Solution

    |

  18. The number of ordered pairs (x, y) of real number satisfying 4x^2 - 4...

    Text Solution

    |

  19. In a DeltaABC,3 sin A+4 cos B=6 and 3 cos A+4 sinB=1, then angleC can ...

    Text Solution

    |

  20. An equilateral triangle has side length 8. The area of the region cont...

    Text Solution

    |