Home
Class 12
MATHS
The equation "sin"^(4) x -2 "cos"^(2) x ...

The equation `"sin"^(4) x -2 "cos"^(2) x + a^(2) =0` is solvable if

A

`[1-sqrt(5)/(2),(1+sqrt(5))/(2)]`

B

`[infty,(1+sqrt(5))/(2)]`

C

`[(1-sqrt(5))/(2),infty]`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
b
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETIC EQUATIONS

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) (LEVEL II)|20 Videos

  • TRIGONOMETIC EQUATIONS

    FIITJEE|Exercise COMPREHENSIONS I|3 Videos

  • TRIGONOMETIC EQUATIONS

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) (LEVEL II)|16 Videos

  • TRIGNOMETRIC RATIOS AND IDENTITIES

    FIITJEE|Exercise All Questions|1 Videos

  • VECTOR

    FIITJEE|Exercise NUMERICAL BASED|4 Videos

Similar Questions

Explore conceptually related problems

The equation sin^(4) x + cos^(4) x + sin 2x + k = 0 must have real solutions if :

The equation sin^(4)x+cos^(4)x+sin^(2)x+a=0 is solved for

The equation sin^(4)x+cos^(4)x+sin2x+alpha=0 is solvable for -(5)/(2)<=alpha<=(1)/(2)(b)-3<=alpha<1-(3)/(2)<=alpha<=(1)/(2)(d)-1<=alpha<=1

The number of solution of the equation 2 "sin"^(3) x + 2 "cos"^(3) x - 3 "sin" 2x + 2 = 0 "in" [0, 4pi] , is

Number of solutions of the equation sin^(4)x-cos^(2)x sin x+2sin^(2)x+sin x=0 in 0<=x<=3 pi

Consider the equation,sin^(4)x-cos^(2)x sin x+2sin a^(2)x+sin x=0in0<=x<=3 pi

Number of solutions of equation 2"sin" x/2 cos^(2) x-2 "sin" x/2 sin^(2) x=cos^(2) x-sin^(2) x for x in [0, 4pi] is

FIITJEE-TRIGONOMETIC EQUATIONS -ASSIGNMENT PROBLEMS (OBJECTIVE) (LEVEL 1)
  1. If cos 3A +cos 3B+cos 3C=1 then one of the angles of the triangle ABC ...

    Text Solution

    |

  2. Find the value of x which satisfy equation 2 tan^(-1) 2x = sin^(-1).(4...

    Text Solution

    |

  3. If 24 cos^(2)x+8sin 2x cos x +18 cos x+6 sin 2x=15 +10 sin x then gene...

    Text Solution

    |

  4. If the equation sin theta(sin theta + 2 cos theta )=a has a real solut...

    Text Solution

    |

  5. sum(r=1)^n (cos(2r x))/sin(r x+pi/4)=((2sin50 x)/sin(x/2))sin(pi/4-(m ...

    Text Solution

    |

  6. The equation "sin"^(4) x -2 "cos"^(2) x + a^(2) =0 is solvable if

    Text Solution

    |

  7. If x1,x2, x3, x4 are the roots of the equation x^4-x^3 sin2 beta+ x^2....

    Text Solution

    |

  8. If |s in x+cos x|=|s in x|+|cos x|(s in x ,cos x!=0) , then in which q...

    Text Solution

    |

  9. The number of distinct solution of cos(x)/(4)=cos(x) in x in [0,24 pi...

    Text Solution

    |

  10. The value of sin^(-1){cot(sin^(-1)sqrt((2-sqrt(3))/4)+cos^(-1)(sqrt(1...

    Text Solution

    |

  11. The set of all x in (-pi,pi) satisfying |4 sin x-1| lt sqrt(5) is gi...

    Text Solution

    |

  12. If A = 2 tan^(-1) (2 sqrt2 -1) and B = 3 sin^(-1) ((1)/(3)) + sin^(-1)...

    Text Solution

    |

  13. In a triangle ABC ,angle A is greater than B.If the measures of angles...

    Text Solution

    |

  14. If cos^(2)x-a|cosx|+b=0 has exactly two solutions in ((-pi)/(2),(3pi)/...

    Text Solution

    |

  15. Number of solutions of the equation cot( theta ) + cot( theta +(pi)/(...

    Text Solution

    |

  16. If x+(1)/(x)=2, the principal value of sin^(-1)x is

    Text Solution

    |

  17. If a sin + b cos (C+x)+b+c =4aThen cot(B)/(2)cot(C )/(2) is equal to

    Text Solution

    |

  18. If in a triangle ABC ,b +c=4a then cot(B/2)cot(C/2) is equal to

    Text Solution

    |

  19. Statement -1 |x^(2)-4|+|sinx|=|x^(2)+sinx-4| if x in [2,pi] because ...

    Text Solution

    |

  20. Let the cubic equation x^(3)-ax^(2)+bx-1=0 has only one real root alph...

    Text Solution

    |