Home
Class 11
MATHS
The range of alpha for which the equatio...

The range of `alpha` for which the equation `sin^(4)x+cos^(4)x+sin2x+alpha=0` has solution

A

`-5//2lealphale1//2`

B

`-3 le alpha le 1`

C

`-3//2 le alpha le 1//2`

D

`-1 le alpha le 1`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL -II LECTURE SHEET (ADVANCED) MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|3 Videos
  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL -II LECTURE SHEET (ADVANCED) LINKED COMPREHENSION TYPE QUESTIONS)|3 Videos
  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -IV (MISCELLAENEOUS STRAIGHT OBJECTIVES TYPE QUESTIONS)|13 Videos
  • TRANSFORMATIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I LEVEL-I Straight Objective Type Questions)|41 Videos
  • TRIGONOMERTIC RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|77 Videos

Similar Questions

Explore conceptually related problems

The equation sin^(4) x + cos^(4) x + sin 2 x + alpha = 0 is solvable for

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

The range of y such that the equation in x , y cos x = sin x has a real solution is

The number of solution is of the equations 2(sin^(4)2x+cos^(4)2x)+3sin^(2)xcos^(2)x=0 is

The equation e^(sin x)-e^(-sin x)-4=0 has

The equation sqrt(3)sin x + cos x = 4 has

Show that the range of the function f(x ) = (sin^(2) x + cos^(4) x)/( cos^(2) x+ sin^(4) x ) is a singleton set.

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

AAKASH SERIES-TRIGNOMETRIC EQUATIONS-ADDITIONAL PRACTICE EXERCISE (LEVEL -I (MAIN) STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. The number of solutions of sin^(4)x-cos^(2)xsinx+2sin^(2)x+sinx=0 in 0...

    Text Solution

    |

  2. Number of solution (s) satisfying the equation (1)/(si x) - (1)/( sin ...

    Text Solution

    |

  3. The range of alpha for which the equation sin^(4)x+cos^(4)x+sin2x+alph...

    Text Solution

    |

  4. The total number of ordered pairs (x,y) satisfying |x|+|y|=4, sin((pi)...

    Text Solution

    |

  5. e^(|sin x|)+ e^(-|sin x|) + 4 a = 0 will have exactly four different ...

    Text Solution

    |

  6. If m and n ( gt m) are positive integer, the number of solutions of ...

    Text Solution

    |

  7. The number of solutions of the equation 2x=3pi(1-cosx) is

    Text Solution

    |

  8. If log ((-x^(2) - 6 x)//10)(sin 3 x + sin x) = log((x^(2) - 6x)//10)(...

    Text Solution

    |

  9. If |2 sin theta-cosec theta|ge1 and thea!=(npi)/2, n in Z then

    Text Solution

    |

  10. If tan^(3)x+3gt3 tan x +tan^(2)xthen

    Text Solution

    |

  11. The number of solutions of [sinx+cosx]=3+[-sinx]+[-cosx] (where [.] d...

    Text Solution

    |

  12. If [sinx]+[sqrt(2)cosx]=-3,x I [0,2pi] ([.] denotes the greatest integ...

    Text Solution

    |

  13. For what values of k the equation sinx+cos(k+x)+cos(k-x)=2 has real so...

    Text Solution

    |

  14. If (sin^(3)"" (x)/(2)-cos^(3)""(x)/(2))/(2 + sin x) = (cos x)/( 3) th...

    Text Solution

    |

  15. If cot(x//2) - cosec (x //2) = cot x then x =

    Text Solution

    |

  16. Determine the smallest postive value of x which satisfies the equatio...

    Text Solution

    |

  17. The set S(1) and S(2) are solution sets of (1+a)cos theta cos (2 theta...

    Text Solution

    |

  18. If sin x ( cos ""(x)/( 4) - 2 sin x) + ( 1 + sin "" (x)/( 4) - 2 cos x...

    Text Solution

    |

  19. If the equation x^(2) + 12 + 3 sin (a + bx) + 6x = 0 has at least one...

    Text Solution

    |

  20. The number of possible triplets (x,y,z) such that (x+y)+(y+2z)cos 2 th...

    Text Solution

    |