Home
Class 12
MATHS
If alpha,beta,gamma are the roots of ...

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`.

Text Solution

Verified by Experts

The correct Answer is:
`(7)/(4)`
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE -2.1 (SHORT ANSWER QUESTIONS)|16 Videos

  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE -2.2 (VERY SHORT ANSWER QUESTIONS)|6 Videos

  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXAMPLES|5 Videos

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise EXERCISE 2.2|22 Videos

  • TRANSFORMATIONS AND INDENTITIES

    AAKASH SERIES|Exercise PRACTIVE EXERCISE|36 Videos

Similar Questions

Explore conceptually related problems

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

If alpha , beta , gamma are the roots of x^3 + 2x^2 + 3x +8=0 then ( alpha + beta ) ( beta + gamma) ( gamma + alpha ) =

If alpha , beta , gamma are the roots of x^3 -7x + 6 =0 the equation whose roots are alpha + beta , beta + gamma , gamma + alpha is

Let , alpha ,beta,gamma be the roots of x^3+px^2+qx+r=0 . Then find the (v) (alpha+beta)(beta+gamma)(gamma+alpha)

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

If alpha, beta, gamma are the roots of x^(3) - 3x + 7 = 0 then alpha beta gamma =

If alpha, beta and gamma are the roots of x^3 +px^2+qx+r=0 then find the following : (i) alpha + beta + gamma (ii) alpha xx beta + beta xx gamma + gamma xx alpha (iii) alpha xx beta xx gamma

If alpah , beta , gamma are the roots of the equation x^3 + qx +r=0 find the value of ( beta - gamma )^2 +( gamma - alpha)^2 +(alpha - beta)^2

If alpha, beta, gamma are roots of x^(3) - 2x^(2) + 3x - 4 = 0 , then the value of alpha^(2) beta^(2) + beta^(2) gamma^(2) + gamma^(2) alpha^(2) is

AAKASH SERIES-THEORY OF EQUATIONS-EXERCISE -2.1 (VERY SHORT ANSWER QUESTIONS)
  1. Form the polynomial equation of degree 3 whose roots are 2,3 and 6.

    Text Solution

    |

  2. find the (monic ) polynomial equation of lowest degree whose root...

    Text Solution

    |

  3. Find the polynomial with rational coefficients and whose roots ...

    Text Solution

    |

  4. Find the polynomial with rational coefficients and whose roots ...

    Text Solution

    |

  5. Find the polynomial with rational coefficients and whose roots ...

    Text Solution

    |

  6. Find the polynomial with rational coefficients and whose roots ...

    Text Solution

    |

  7. Find the polynomial with rational coefficients and whose roots ...

    Text Solution

    |

  8. Find the values of a,b,c,d, if 1,2,3,4 are the roots of x^4 +ax...

    Text Solution

    |

  9. Find the relation between the roots and the coefficients of the cubic ...

    Text Solution

    |

  10. Find the relation between the roots and the coefficients of the cubic ...

    Text Solution

    |

  11. Find the roots of x^4-16x^3+86x^2-176x+105=0

    Text Solution

    |

  12. If 8x^(4) - 2x^(3) - 27x^(2) + 6x + 9 = 0 then s(1), s(2), s(3) , s(4)...

    Text Solution

    |

  13. If 1,-2 and 3 are roots of x^3-2x^2+ax+6=0 , then find a .

    Text Solution

    |

  14. If 1,-2,3 are the roots of x^3 -6x^2 +9 x-4=0 then find ' alph...

    Text Solution

    |

  15. If alpha, beta and 1 are the roots of x^3-2x^2-5x+6=0 , then find alp...

    Text Solution

    |

  16. If the product of the roots of 4x^3+16x^2-9xa=0 is 9 , then find a .

    Text Solution

    |

  17. If alpha , beta , gamma are the roots of x^3 -px^2 +qx -r=0 a...

    Text Solution

    |

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

    Text Solution

    |