Home
Class 12
MATHS
If alpha, beta and gamma are three conse...

If `alpha, beta and gamma` are three consecutive terms of a non-constant G.P. such that the equations `ax^(2) + 2beta x + gamma = 0 and x^(2) + x - 1= 0` have a common root, then `alpha (beta + gamma)` is equal to

A

0

B

`alpha beta`

C

`alpha gamma`

D

`beta gamma`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos
  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Exercise ( Level 2 (Numerical answer type questions))|19 Videos
  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos
  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEAR.S B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|19 Videos

Similar Questions

Explore conceptually related problems

If alpha, beta and gamma are three consecutive terms of a non-constant G.P. such that the equations alphax^(2) + 2beta x + gamma = 0 and x^(2) + x - 1= 0 have a common root, then alpha (beta + gamma) is equal to

if alpha,beta,gamma are non-constant terms in G.P.and equations alpha x^(2)+2 beta x+gamma=0 and x^(2)+x-1=0 has a common root then (gamma-alpha)*beta is

If alpha ,beta ,gamma are roots of x^(3)+x^(2)-5x-1=0 then [alpha] + [beta] +[ gamma ] is equal to

If alpha beta gamma are roots of x^(3)+x^(2)-5x-1=0 then alpha + beta + gamma is equal to

If alpha, beta and gamma are the roots of the equation x^(3) + px + q = 0 (with p != 0 and p != 0 and q != 0 ), the value of the determinant |(alpha,beta,gamma),(beta,gamma,alpha),(gamma,alpha,beta)| , is

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

If alpha beta gamma are the roots of x^3+x^2-5x-1=0 then alpha+beta+gamma is equal to

MCGROW HILL PUBLICATION-QUADRATIC EQUATIONS-Questions from Previous Years. AIEEE/JEE main papers
  1. The sum of all the real values of x satisfying the equation 2^((x-1)(x...

    Text Solution

    |

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

    Text Solution

    |

  3. v22

    Text Solution

    |

  4. Let p,q and r be real number (p ne q, r ne 0) such that the roots of ...

    Text Solution

    |

  5. If f(x) is a quadratic expression such that f(1) + f(2) = 0, and -1 is...

    Text Solution

    |

  6. Let alpha and beta be two roots of the equation x^(2) + 2x + 2 = 0. Th...

    Text Solution

    |

  7. If both the roots of the quadratic equation x^(2) - mx + 4 = 0 are rea...

    Text Solution

    |

  8. The number of all possible positive integral values of alpha for whic...

    Text Solution

    |

  9. Consider the quadratic equation (c - 5)x^(2) - 2cx + (c - 4) = 0, c ne...

    Text Solution

    |

  10. The values of lambda such that sum of the squares of the roots of the ...

    Text Solution

    |

  11. If one real root of the quadratic equation 81x^2 + kx + 256=0 is cu...

    Text Solution

    |

  12. If lambda be the ratio of the roots of the quadratic equation in x, 3m...

    Text Solution

    |

  13. The number of integral values of m for which the quadratic expression ...

    Text Solution

    |

  14. Let p, q in R. "If " 3 - sqrt(3) is a root of the quadratic equation ...

    Text Solution

    |

  15. If m is chosen in the quadratic equation (m^(2)+1)x^(2)-3x+(m^(2)+1)^(...

    Text Solution

    |

  16. If alpha and beta the rots of the quadratic equation, x^(2)+x sintheta...

    Text Solution

    |

  17. The number of real roots of the equation 5+|2^(x)-1|=2^(x)(2^(x)-2)i...

    Text Solution

    |

  18. If alpha, beta and gamma are three consecutive terms of a non-constant...

    Text Solution

    |

  19. If alpha and beta be the roots of the equation x^(2)-2x+2=0, then the ...

    Text Solution

    |

  20. The number of integral values of m for which the equation (1+m^(2)) x^...

    Text Solution

    |