Home
Class 11
MATHS
It is given that equation 4x^3-3x-p=0 ha...

It is given that equation `4x^3-3x-p=0` has a unique root in the interval [1/2.1], where`-1leple1`. The value of this root is

A

44257

B

`sin(1/3sin^(-1)p)`

C

`cos(1/3cos^(-1)p)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|19 Videos
  • RECTANGULAR CO-ORDINATES

    PATHFINDER|Exercise QUESTION BANK|27 Videos

Similar Questions

Explore conceptually related problems

One root of the equation cosx-x+1/2=0 lies in the interval

Show that the equation e^(x-1)+x-2=0 has no real root greater than 1.

Find the value of a which the equation 4x^2-2x+a =0 has two roots lying in the interval (-1,1)

Show that the equation e^(x-1)+x-2=0 has no real root which is less than 1.

True or false The equation 2x^2+3x+1=0 has an irrational root.

The number of values of k for which the equation x^3-3x+k=0 has two distinct roots lying in the interval (0,1) is (a) three (b) two (c) infinitely many (d) zero

If the roots of the equation 6x^3-11x^2+6x-1 =0 are in H.P., then the roots are

If the roots of equation 5x^2-3x+6=0 are alpha and beta then find the value of 1/alpha+1/beta

Given that a,c are the roots of the equation px^2-3x+2=0 and b,d are the roots of the equation qx^2-4x+2=0 , find the values of p and q such that 1/a,1/b,1/c and 1/d are in A.P.

The number of values of k for which the equation x^(2)-3x+k=0 has two distinct roots lying in the interval ( 0 , 1 ) are

PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
  1. How many real solutions does the equation x^7+14x^5+16x^3+30x-560=0 h...

    Text Solution

    |

  2. Set of value of k(kinR) for which equation x^2-4abs(x)+3-abs(k-1)=0 wi...

    Text Solution

    |

  3. It is given that equation 4x^3-3x-p=0 has a unique root in the interva...

    Text Solution

    |

  4. If 3^(x+2)-9^(-1//x)gt0, then the interval of x can be

    Text Solution

    |

  5. The roots of the equation (a+sqrtb)^(x^2-15)+(a-sqrtb)^(x^2-15)=2a w...

    Text Solution

    |

  6. For what real value of 'a' do the roots of x^2-2x-(a^2-1)=0 lie betwee...

    Text Solution

    |

  7. The real solutions of the equation root(4)(97-x)+root(4)x=5

    Text Solution

    |

  8. Consider the equation x^2+x-a=0,ainN If equation has integral roots,...

    Text Solution

    |

  9. A function f:RtoR where R is the set of real numbers,is defined by f(x...

    Text Solution

    |

  10. If b^2ge4ac for the equations ax^4+bx^2+c=0 then all the roots of the ...

    Text Solution

    |

  11. The real roots of the equation

    Text Solution

    |

  12. log(x^2+6x+8)log(2x^2+2x+3)(x^2-2x)=0 holds for

    Text Solution

    |

  13. The values of 'a' for which the equation 4^x-a2^x-a+3=0 has at least o...

    Text Solution

    |

  14. Let the roots of f(x)=xbe alpha and beta where f(x) is quadratic polyn...

    Text Solution

    |

  15. Let the roots of f(x)=xbe alpha and beta where f(x) is quadratic polyn...

    Text Solution

    |

  16. Let x1,x2,x3,x4,be the roots (real or complex) of the equation x^4+ax^...

    Text Solution

    |

  17. Let x1,x2,x3,x4,be the roots (real or complex) of the equation x^4+ax^...

    Text Solution

    |

  18. ''

    Text Solution

    |

  19. Text Solution

    |

  20. Number of solutions for x^2-2-2[x]=0, (where[.] denotes greatest integ...

    Text Solution

    |