Home
Class 11
MATHS
3 sin^(2) x -4 cos^(2) x in...

`3 sin^(2) x -4 cos^(2) x in `

A

`[0,3]`

B

`[-4,0]`

C

`[-3,4]`

D

`[-4,3]`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PERIODICITY AND EXTEME VALUES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE) LEVEL-I(MAIN) Periodicity (Single answer type questions)|17 Videos
  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|15 Videos
  • PERIODICITY AND EXTREME VALUES

    AAKASH SERIES|Exercise Practice Sheet (Exericise-I) Level-II (Straight Objective Type Questions)|31 Videos

Similar Questions

Explore conceptually related problems

(sin x - sin 3x)/( sin ^(2) x - cos ^(2) x) = 2 sin x

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

Solution of 7 sin^(2) x + 3cos^(2) x = 4 is

If y= ( sin^(4) x - cos^(4) x + sin^(2) x cos^(2) x )/( sin^(4) x + cos^(4) x + sin^(2) x cos^(2) x) , x in ( 0, (pi)/(2) ) , then

int_(0)^(pi//4) (sin^(2) x cos^(2) x)/((sin^(3) x + cos^(3)x)^(2))dx=

sin 3 x + 2 csin 4x + sin 6x = 4 cos ^(2) x sin 4x

cos ^(2) 2x -cos ^(2) 6x = sin 4x sin 8x

Evalute the following integrals int (2 cos ^(3) x + 3 sin^(3)x )/(sin^(2) x cos^(2)x ) dx

AAKASH SERIES-PERIODICITY AND EXTEME VALUES-PRACTICE SHEET (EXERCISE) LEVEL-I(MAIN) Extreme values ( Single answer type questions )
  1. 16 sin x cosx cos 2x cos 4x cos 8x in

    Text Solution

    |

  2. The minimum and maximum values of sin^(2) (60^(@)-x) + sin^(2) ( 60^(@...

    Text Solution

    |

  3. sin^(2) ( 60^(@) + x) sin^(2) ( 60^(@) - x) in [ - (k)/(2) , (k)/(2) ]...

    Text Solution

    |

  4. The extreme values of 4cos(x^(2)).cos((pi)/(3)+x^(2)).cos((pi)/(3)-x^...

    Text Solution

    |

  5. For all values of theta, the values of 3-cos theta+cos (theta+(pi)/(3)...

    Text Solution

    |

  6. 5 cos theta + 3 cos ( theta - (pi)/(3) )+8 in

    Text Solution

    |

  7. A+B = 90^(@) rArr cos A cos B in

    Text Solution

    |

  8. A+B = 90^(@) rArr sin A + sin Bin

    Text Solution

    |

  9. The minimum and maximum values of 8 cos 3x - 15 sin3x are

    Text Solution

    |

  10. The maximum value of (3 ) /( 5 sin x-12 cos x+19) is

    Text Solution

    |

  11. cos5x=16 cos^(5) x -20 cos^(3) x +5 cos x in

    Text Solution

    |

  12. 3 sin^(2) x -4 cos^(2) x in

    Text Solution

    |

  13. Minimum value of 9 sec^(2) theta + 4 cosec^(2) theta + 7 is

    Text Solution

    |

  14. If a le 3 cos x + 5 sin ( x - pi//6) le b for all x , then ( a, b) is

    Text Solution

    |

  15. cos^(2) (60^(@) - x) + cos^(2) (60^(@) +x) in

    Text Solution

    |

  16. sin^(2) x + 4 sin x+5 in [k, 5k ] rArr k =

    Text Solution

    |

  17. The least value of cos^(2) theta - 6 sin theta.cos theta+ 3 sin^(2) th...

    Text Solution

    |

  18. The minimum value of Sinx ((1-cos x)/(sin x) + (sin x)/( 1-cos x)) ...

    Text Solution

    |

  19. If f(x) = 2+ cos^(2) x + sec^(2) x, its value always is

    Text Solution

    |

  20. The maximum value of cos x ((cos x )/( 1- sin x) + (1- sin x)/( cos x)...

    Text Solution

    |