Home
Class 12
MATHS
The number of distinct real roots of x^...

The number of distinct real roots of ` x^4 - 4 x^3 + 12 x^2 + x - 1 = 0` is :

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise-3 Part II|22 Videos
  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise High Level Problems (HLP)|33 Videos
  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise-2 Part IV comprehension|11 Videos
  • COMBINATORICS

    RESONANCE|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|8 Videos

Similar Questions

Explore conceptually related problems

The number of distinct real roots of x^(4)-4x^(3)+12x^(2)+x-1=0

The number of distinct real roots of x^(4)-4x^(3)+12x^(2)+x-1=0 is :

Number of distinct real roots of equation 3x^4+4x^3-12x^2+4=0

The number of positive integral roots of x^(4) + x^(3) - 4 x^(2) + x + 1 = 0 , is

The number of distinct real roots of the equation 3x^(4)+4x^(3)-12x^(2)+4=0 is ___________.

The number of distinct real roots of the equation |cosx s in x s in x s in x cos x s in x s in x s in x cos x|=0 in the interval [-\ pi/4,pi/4] is- a. 3 b. \ 4 c. \ 2 d. 1

The number of distinct real solution to x^(4)+x^(3)-4x^(2)+x+1=0 is

The number of real roots of (x+3)^(4)+(x+5)^(4)=16

The number of distinct real roots of the equation sin pi x=x^(2)-x+(5)/(4) is

RESONANCE-APPLICATION OF DERIVATIVES-Exersise-3 Part I
  1. Let f,g and h be real-valued functions defined on the interval [0,1] b...

    Text Solution

    |

  2. Match th statements given in Column-I with the intervals//union of in...

    Text Solution

    |

  3. The number of distinct real roots of x^4 - 4 x^3 + 12 x^2 + x - 1 = 0...

    Text Solution

    |

  4. Let p(x) be a real polynomial of least degree which has a local maximu...

    Text Solution

    |

  5. Let I RvecI R be defined as f(x)=|x|++x^2-1|dot The total number of po...

    Text Solution

    |

  6. The number of points in (-oo,oo), for which x^2-xsinx-cosx=0, is 6 (b)...

    Text Solution

    |

  7. A rectangular sheet of fixed perimeter with sides having their lengths...

    Text Solution

    |

  8. A vertical line passing through the point (h,0) intersects the ell...

    Text Solution

    |

  9. The function f(x)=2|x|+|x+2|=||x|2|-2|x|| has a local minimum or a loc...

    Text Solution

    |

  10. Let f[0, 1] -> R (the set of all real numbers be a function.Suppose t...

    Text Solution

    |

  11. Let f:[0,1]rarrR (the set of all real numbers) be a function. Suppose ...

    Text Solution

    |

  12. line L:y=mx+3 meets y–axis at E(0, 3) and the are of the parabola y^(2...

    Text Solution

    |

  13. Let a in R and let f: R to R be given by f(x) =x^(5) -5x+a. then

    Text Solution

    |

  14. The slope of the tangent to the curve (y-x^5)^2=x(1+x^2)^2 at the poin...

    Text Solution

    |

  15. A cylindrica container is to be made from certain solid material with ...

    Text Solution

    |

  16. Let f,g:[-1,2]rarr RR be continuous functions which are twice differen...

    Text Solution

    |

  17. Let f: R to (0 ,oo)" and " g :R to R be twice differentiable function...

    Text Solution

    |

  18. Which of the following options is the only INCORRECT combination ?

    Text Solution

    |

  19. Which of the following options is the only CORRECT combination

    Text Solution

    |

  20. Which of the following options is the only CORRECT combination ?

    Text Solution

    |