Home
Class 11
MATHS
The equation cos^8x+bcos^4x+1=0 will hav...

The equation `cos^8x+bcos^4x+1=0` will have a solution if `b` belongs to (A) `(-oo,2]` (B) `[2,oo]` (C) `[-oo,-2]` (D) none of these

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

The equation ||x-2|+a|=4 can have four distinct real solutions for x if a belongs to the interval (-oo,-4) (b) (-oo,0) (4,oo) (d) none of these

For the equation cos^(-1)x+cos^(-1)2x+pi=0 , the number of real solution is (A)1 (B) 2 (C) 0 (D) oo

The equation ||x-2|+a|=4 can have four distinct real solutions for x if a belongs to the interval a) (-oo,-4) (b) (-oo,0) c) (4,oo) (d) none of these

The complete set of values of a so that equation sin^4 x+ a sin^2 x+ 4=0 has at least one real root is (A) (- oo, -5] (B) (- oo , 4] uu [ 4, oo) (C) (-oo, -4] (D) [4, oo)

Range of f(x) =sin^20x+cos^48x is (A) [0,1] (B) (0,1] (C) (0,oo) (D) none of these

If a!=0 and log_x (a^2+1)lt0 then x lies in the interval (A) (0,oo) (B) (0,1) (C) (0,a) (D) none of these

For x^2-(a+3)|x|-4=0 to have real solutions, the range of a is a) (-oo,-7]uu[1,oo) b) (-3,oo) c) (-oo,-7] d) [1,oo)

Given that f(x) > g(x) for all real x, and f(0)=g(0) . Then f(x) < g(x) for all x belong to (a) (0,oo) (b) (-oo,0) (c) (-oo,oo) (d) none of these

The domain of the function f(x)=sqrt(x^2-[x]^2) , where [x] is the greatest integer less than or equal to x , is (a) R (b) [0,oo] (c) (-oo,0) (d) none of these

Complete solution set of the inequation (x^2-1)(x^2-6x+8)geq0 is (a) x in [-1,1]uu[2,4] (b) x in (-oo,-1)uu[1,2]uu[4,oo] (c) x in [-1,2]uu[4,oo] (d) none of these

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If alpha+beta=pi/2a n dbeta+gamma=alpha, then tanalpha equals

    Text Solution

    |

  2. prove that a^2sin2B+b^2sin2A=4Delta

    Text Solution

    |

  3. The equation cos^8x+bcos^4x+1=0 will have a solution if b belongs to ...

    Text Solution

    |

  4. Let f(n)=2cosn xAAn in N , then f(1)f(n+1)-f(n) is equal to (a)f(n...

    Text Solution

    |

  5. If in triangle A B C, \delta = a^2-(b-c)^2 , then find the value of ta...

    Text Solution

    |

  6. The number of solutions of [sinx+cosx]=3+[-sinx]+[-cosx](w h e r e[] d...

    Text Solution

    |

  7. If sintheta1-sintheta2=a a n d costheta1+costheta2=b , then (a)a^2+b...

    Text Solution

    |

  8. If a , ba n dc are the side of a triangle, then the minimum value of (...

    Text Solution

    |

  9. sinx+cosx=y^2-y+a has no value of x for any value of y if a belongs to...

    Text Solution

    |

  10. If (cosx)/a=(cos(x+theta))/b=(cos(x+20))/c=(cos(x+3theta))/d then (a+...

    Text Solution

    |

  11. Let P Q R be a triangle of area with a=2,b=7/2,and c=5/2, where a, b ...

    Text Solution

    |

  12. If the inequality sin^2x+acosx+a^2>1+cosx holds for any x in R , then...

    Text Solution

    |

  13. If cosalpha+cosbeta=0=sinalpha+sinbeta, then cos2alpha+cos2beta is e...

    Text Solution

    |

  14. If the angle A ,Ba n dC of a triangle are in an arithmetic propression...

    Text Solution

    |

  15. The equation sin^4x-2cos^2x+a^2=0 can be solved if (a) -sqrt(3)lt=alt=...

    Text Solution

    |

  16. Value of (3+cot80^0cot20^0)/(cot80^0+cot20^0) is equal to (a)cot20^0...

    Text Solution

    |

  17. Let A B C be a triangle such that /A C B=pi/6 and let a , b and c deno...

    Text Solution

    |

  18. If tanalpha is equal to the integral solution of the inequality 4x^2-...

    Text Solution

    |

  19. Consider the system of linear equations in x , ya n dz : ""(sin3theta...

    Text Solution

    |

  20. Let A B C D be a quadrilateral with area 18 , side A B parallel to the...

    Text Solution

    |