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

If ` alpha ,beta ,gamma` are roots of the cubic equation `x_3 + 2x_2 + 3x + 3 = 0,` then the value of `(alpha/(alpha + 1))^3 + ( beta/(beta +1 ))^3 + (gamma/(gamma + 1))^3 = ____`

Text Solution

Verified by Experts

The correct Answer is:
44
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 68

    NTA MOCK TESTS|Exercise MATHEMATICS|29 Videos
  • NTA TPC JEE MAIN TEST 70

    NTA MOCK TESTS|Exercise MATHEMATICS|30 Videos

Similar Questions

Explore conceptually related problems

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

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

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

If alpha,beta and gamma are roots of equation x^(3)-3x^(2)+1=0 , then the value of ((alpha)/(1+alpha))^(3)+((beta)/(1+beta))^(3)+((gamma)/(1+gamma))^(3) is __________.

If (alpha, beta, gamma) are roots of equation x^(3)-3x^(2)+1=0 then the value of [((alpha)/(1+alpha))^(3)+((beta)/(1+beta))^(3)+((gamma)/(1+gamma))^(3) is k then |k|=

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 69-MATHEMATICS
  1. The equation of normal to the curve y = 2x^3 + 6x + 5, which is parall...

    Text Solution

    |

  2. If f (a) = 3, f' (a) = - 2, g (a) = - 1,, g' (a) = 4 then lim(xtoa)(g(...

    Text Solution

    |

  3. If the function f (x) is ={{:(-x,xlt1),(a+cos^(-1)(x+b),1lexle2):} dif...

    Text Solution

    |

  4. int(3 cos x)/(2 cos x + 5 sin x) dx is equaI to [Note : where C is in...

    Text Solution

    |

  5. If x cos theta = y cos ( theta + (2pi)/3), then value of = z cos ( the...

    Text Solution

    |

  6. The area bounded by the curve y^2 (2a-x) = x^3 and the line x = 2 a i...

    Text Solution

    |

  7. If a^(2x)-14a^x + 53 + "||"b+3"|"-4"|" where = "|"4 cos theta"|" x...

    Text Solution

    |

  8. If the equation sin^(-1)(4x^2 -12x +10)+ cos^(-1) (12x -4x^2 -10) +...

    Text Solution

    |

  9. If the standard deviation of the observations - 5, - 4, - 3, - 2, - ...

    Text Solution

    |

  10. lf y = y(x)and (2+sin x)/((y+1)) (dy)/(dx) = -cos x, y (0) = 1 the...

    Text Solution

    |

  11. Given two real sets A = {a,a2,a3...a(2n)} and B = {b1,b2,...bn} ....

    Text Solution

    |

  12. Consider, f (x) = sqrt(pi/2 - tan ^(-1) sqrt((-x^2)/((x^2-9)(x-7)^2...

    Text Solution

    |

  13. If log(245)175 = a, log(1715)875 = b then (1-ab)/(a-b) =

    Text Solution

    |

  14. If the line of intersection of plane P : 2x + y + z = 2 with xy plan...

    Text Solution

    |

  15. Let L1 : (x-1)/3 = (y-2)/1 = (z-3)/(-3) be a line and P : 4x + 3y + 5z...

    Text Solution

    |

  16. Let z be a complex number i.e z = costheta+ i sintheta which is a ro...

    Text Solution

    |

  17. Let f be a real-valued function defined on the interval ( - 1, 1) such...

    Text Solution

    |

  18. AB is any chord of the circle x^2 + y^ 2 - 6x - 8y - 11 = 0, which sub...

    Text Solution

    |

  19. The distance of the line 2 x - 3 y = 4 from the point (1, 1) measured ...

    Text Solution

    |

  20. If alpha ,beta ,gamma are roots of the cubic equation x3 + 2x2 + 3x +...

    Text Solution

    |