Home
Class 12
MATHS
if (x) =a +bx+cx^(2)" and " alpha, beta...

if `(x) =a +bx+cx^(2)" and " alpha, beta gamma` are the roots of the equation `x^(3) =1 " then " |{:(a,,b,,c),(b,,c,,a),(c,,a,,b):}|` is equal to

Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    CENGAGE|Exercise Multiple Correct Answer|5 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE|Exercise Exercise|337 Videos

Similar Questions

Explore conceptually related problems

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 the equation x^3 - 3x + 11 =0 , then alpha + beta + gamma is ………….

If alpha and beta are the roots of the equation ax^(2)+bx+c=0 then (alpha+beta)^(2) is …………..

If alpha and beta are the roots of the equation x^(2)-ax+b=0 ,find Q(b) (1)/(alpha)+(1)/(beta)

If alpha and beta are thr roots of the equation ax^(2) + bx + c = 0 then ( alpha + beta )^(2) is ……… .

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

If alpha,beta,gamma are the roots of the equation x^3 + 4x +1=0 then (alpha+beta)^(-1)+(beta+gamma)^(-1)+(gamma+alpha)^(-1)=

If c lt a lt b lt d , then roots of the equation bx^(2)+(1-b(c+d)x+bcd-a=0

CENGAGE-DETERMINANTS-All Questions
  1. If 2a x-2y+3z=0,x+a y+2z=0,a n d2+a z=0 have a nontrivial solution,...

    Text Solution

    |

  2. If |.| denotes the greatest integer less than or equal to the real num...

    Text Solution

    |

  3. if (x) =a +bx+cx^(2)" and " alpha, beta gamma are the roots of the ...

    Text Solution

    |

  4. If x ,ya n dz are not all zero and connected by the equations a1x+b...

    Text Solution

    |

  5. Find lambda for which the system of equations x+y-2z=0,2x-3y+z=0,x-...

    Text Solution

    |

  6. If p ,q ,r are in A.P. then value of determinant |a^2+2^(n+1)+2p b^2+2...

    Text Solution

    |

  7. For what values of k , the following system of equations possesses ...

    Text Solution

    |

  8. Let a ,b , c in R such that no two of them are equal and satisfy |(2a...

    Text Solution

    |

  9. Solve by Cramers rule x+y+z=6 x-y+z=2 3x+2y-4z=-5

    Text Solution

    |

  10. The value of the determinant |(k a, k^2+a^2, 1),(k b, k^2+b^2, 1),(k c...

    Text Solution

    |

  11. Find the value of aa n db if the system of equation a^2x-b y=a^2-ba...

    Text Solution

    |

  12. If (x1-x2)^2+(y1-y2)^2=a^2, (x2-x3)^2+(y2-y3)^2=b^2, (x3-x1)^2+(y3-y1...

    Text Solution

    |

  13. f(x)=|cos xx1 2sinxx^2 2xtanxx1| . Then value of (lim)(xvec0)(f(x))/x ...

    Text Solution

    |

  14. If the system of linear equation x + 2ay + az = 0, x + 3by + bz = 0, x...

    Text Solution

    |

  15. Let alpha be a repeated root of a quadratic equation f(x)=0a n dA(x...

    Text Solution

    |

  16. If |a^2+lambda^2a b+clambdac a-blambdaa b-clambdab^2+lambda^2b c+...

    Text Solution

    |

  17. Value of |1+x1 1+x1x1+x1x^2 1+x2 1+x2x1+x2x^2 1+x3 1+x3x1+x3x^2| depen...

    Text Solution

    |

  18. If (x)=|alpha+xtheta+xlambda+xbeta+xvarphi+xmu+xgamma+xpsi+x v+x| show...

    Text Solution

    |

  19. The value of determinant |b c-a^2a c-b^2a b-c^2a c-b^2a b-c^2b c-a^2a ...

    Text Solution

    |

  20. The value of the determinant (a1-b1)^2(a1- ...

    Text Solution

    |