Home
Class 12
MATHS
If f(x)=64x^3+1/x^3 and alpha,beta are t...

If `f(x)=64x^3+1/x^3` and `alpha,beta` are the roots of `4x+1/x=3`. Then,value of f(x)=

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If f (x) = 27x^(3) -(1)/(x^(3)) and alpha, beta are roots of 3x - (1)/(x) = 2 then

If f is a real valued function given by f(x)=27 x^3+1/(x^3)a n dalpha,beta are roots of 3x+1/x=2. Then, f(alpha)=f(beta)=-9 (b) f(alpha)=10 (c) f(beta)=-10 (d) none of these

If f(x)=a=b x+c x^2a n dalpha,beta,gamma are the roots of the equation x^3=1,t h e n|a b c b c a c a b| is equal to f(alpha)+f(beta)+f(gamma) f(alpha)f(beta)+f(beta)f(gamma)+f(gamma)f(alpha) f(alpha)f(beta)f(gamma) -f(alpha)f(beta)f(gamma)

If alpha,beta,gamma are the roots of he euation x^3+4x+1=0, then find the value of (alpha+beta)^(-1)+(beta+gamma)^(-1)+(gamma+alpha)^(-1) .

If alpha,beta are the roots of the equation x^2-4x+1=0, then Find the value of: 1- alpha^2+beta^2 , 2- alpha^3+beta^3 , 3- |alpha-beta| , 4- 1/alpha+1/beta

If alpha,beta,gamma are the roots of 4x^3-6x^2+7x+3=0 then find the value of alpha beta +beta gamma+gamma alpha .

If alpha,beta are the roots of the equation x^(2)+x+1=0 , find the value of alpha^(3)-beta^(3) .

If alpha\ a n d\ beta are the roots of 4x^2+3x+7=0 then the value of 1/alpha+1/beta is a) 4/7 b) -3/7 c) 3/7 d) -3/4

If alpha,beta are the roots of the equation 3x^(2)-6x+4=0 , find the value of ((alpha)/(beta)+(beta)/(alpha))+2((1)/(alpha)+(1)/(beta))+3alphabeta .

Let alpha, beta are the roots of the equation x^(2)+x+1=0 , then alpha^3-beta^3

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The solution of the differential equation (e^(x^2)+e^(y^2))y(dy)/(dx)...

    Text Solution

    |

  2. Let L be the set of all lines in a plane and R be the relation in L...

    Text Solution

    |

  3. If f(x)=64x^3+1/x^3 and alpha,beta are the roots of 4x+1/x=3. Then,val...

    Text Solution

    |

  4. (4)/(9^((1)/(3))-3^((1)/(3))+1) is equivalent to :

    Text Solution

    |

  5. about to only mathematics

    Text Solution

    |

  6. A 3-digit number has, from left to right, the digits a, b and c with a...

    Text Solution

    |

  7. Check whether the relation R defined on the set A={1,\ 2,\ 3,\ 4,\ 5,\...

    Text Solution

    |

  8. Which of following is/are the part of locus of vertex of parabola. y=...

    Text Solution

    |

  9. If f(x), g(x) is twice differential functions on [0,2] satisfying f^('...

    Text Solution

    |

  10. Solve ((x-5)^(2)(x+2)^(3)(x-4))/((x-3)^(4))le0

    Text Solution

    |

  11. Check whether the relation R in R defined by R={(a ,b):alt=b^3}is ref...

    Text Solution

    |

  12. The equation of the circle having its centre on the line x+2y-3=0 and ...

    Text Solution

    |

  13. Let z1, z2,z3 be three distinct complex numbers satisfying |z1- 1|=|z...

    Text Solution

    |

  14. The length of the chrod cut-off by y=2x+1 from the circle x^(2)+y^(2)=...

    Text Solution

    |

  15. For the set A={1,\ 2,\ 3} , define a relation R on the set A as follow...

    Text Solution

    |

  16. If the roots of the equation (x^2-b x)/(a x-c)=(m-1)/(m+1) are equal t...

    Text Solution

    |

  17. Of the solution of equation "sin"(tan^(-1)x)=sqrt(4-["sin"(cos^(-1)x)+...

    Text Solution

    |

  18. Let A={a , b , c) and the relation R be defined on A as follows: R={(a...

    Text Solution

    |

  19. Find the value of a for which the sum of the squares of the roots of t...

    Text Solution

    |

  20. (51 3)+(50 3)+(49 3)+(48 3)+(47 3)+(47 4) is equal to (where (n r) d...

    Text Solution

    |