Home
Class 12
MATHS
If alpha is a roots equations 4x^2+2x-1=...

If `alpha `is a roots equations `4x^2+2x-1=0andf(x)=4x^3-3x+1,then2(f(alpha)+alpha)` is

A

0

B

`-1`

C

1

D

none of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise High Level Problem|26 Videos

  • EQUATIONS

    RESONANCE ENGLISH|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |5 Videos

Similar Questions

Explore conceptually related problems

If alpha is a root of the equation 4x^(2)+3x-1=0 and f(x)=4x^(2)-3x+1 , then 2(f(alpha)+(alpha)) is equal to

If alpha is a root of the equation 4x^2+2x-1=0, then prove that 4alpha^3-3alpha is the other root.

If alpha is a positive root of the equation x^4 +x^3 -4x^2 +x+1=0 then alpha +1/alpha

If alpha be a root of equation x^2+x+1=0 then find the vlaue of (alpha+ 1/alpha)+(alpha^2+1/alpha^2)^2+(alpha^3+1/alpha^3)^2+…+(alpha^6+1/alpha^6)^2

If alpha and beta are roots of the equation x^(2)+x+1=0 , then alpha^(2)+beta^(2) is equal to

If alpha,beta are roots of the equation 3x^(2)+4x-5=0 , then (alpha)/(beta) and (beta)/(alpha) are roots of the equation

If alpha and beta are roots of the equation x^(2)-2x+1=0 , then the value of (alpha)/(beta)+(beta)/(alpha) is

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

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

If alpha and beta are the roots of the equation 2x^(2) - 3x + 4 = 0 , then alpha^(2) + beta^(2) = ____

RESONANCE ENGLISH-DPP-QUESTION
  1. If the difference of the roots of the question ,x^(2)+px+q=0"be unity,...

    Text Solution

    |

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

    Text Solution

    |

  3. If alpha is a roots equations 4x^2+2x-1=0andf(x)=4x^3-3x+1,then2(f(alp...

    Text Solution

    |

  4. If alpha, beta, gamma are the roots of the equation x^(2)=px^(2)+qx-r=...

    Text Solution

    |

  5. Find the sum of all integers satisfying the inequalities log(5)(x-3)...

    Text Solution

    |

  6. Let a and b be two integers such that 10 a + b = 20 and g(x) = x^2 + a...

    Text Solution

    |

  7. The value of x satisfying the equation (5050-((1)/(2)+(2)/(3)+(3)/(4)+...

    Text Solution

    |

  8. Find the value of 'k' for which the following set of quadratic equatio...

    Text Solution

    |

  9. The multiplication of a rational number 'x' and an irrational numbe...

    Text Solution

    |

  10. Consider a 7-digit number N=ABCDE15. If N is dividible by 11 then the ...

    Text Solution

    |

  11. Let U be set with number of elements in U is 2009. Consider the foll...

    Text Solution

    |

  12. If U be the universal set and AuuBuuC=U,"then "[(A-B)uu(B-C)uu(C-A)'] ...

    Text Solution

    |

  13. Let U={xcN,xle10},A={x inN,1lex^(3)lt150}and B={x inN, x is prime numb...

    Text Solution

    |

  14. 31 candidates appeared for an examination, 15 candidates passed in Eng...

    Text Solution

    |

  15. In a battle, 70% of the combatants lost one eye, 80% an ear, 75% an ar...

    Text Solution

    |

  16. In a city, three daily newspapers A,B,C are published. 42% of the peop...

    Text Solution

    |

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

    Text Solution

    |

  18. (4)/(9^((1)/(3))-3^((1)/(3))+1) is equivalent to :

    Text Solution

    |

  19. Let a, b gt 0 satisfies a^(3)+b^(3)=a-b. Then

    Text Solution

    |

  20. The expression \(root(3)root(6){a^{9}))^4 \(root(6)root(3){a^{9}))^4...

    Text Solution

    |