Home
Class 12
MATHS
Let alpha and beta two roots of the equa...

Let `alpha and beta` two roots of the equatins `x^(2)+2x+2=0.` then `alpha^(15)+beta^(15)` is equal to

A

512

B

-512

C

-256

D

256

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If alpha" and "beta are the roots of the equation x^(2)+3x-4=0 , then (1)/(alpha)+(1)/(beta) is equal to

If alpha, beta in C are distinct roots of the equation x^2-x+1=0 then alpha^(101)+beta^(107) is equal to

If alpha" and "beta are the roots of the equation x^(2)+2x+4=0, " then "(1)/(alpha^3)+(1)/(beta^3) is equal to

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

If alpha and beta are the roots of x^(2) + x + 1 = 0, then alpha^(2020) + beta^(2020) is

If alpha" and "beta are the roots of x^(2)-ax+b^(2)=0 , then alpha^(2)+beta^(2) is equal to

If alpha and beta are roots of the equation x^(2) + 2x + 8 = 0 the the value of (alpha)/(beta) + (beta)/(alpha) is ………….. .

If alpha and beta are the roots of the equation x^2 + 2x +8=0 then the value of (alpha)/(beta) + (beta)/(alpha) is ………………….. .

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

CENGAGE-JEE 2019-MCQ
  1. In a class 140 students numbered 1 to 140, all even numbered students ...

    Text Solution

    |

  2. Let alpha and beta two roots of the equatins x^(2)+2x+2=0. then alpha^...

    Text Solution

    |

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

    Text Solution

    |

  4. The number of all possivle positive integral values of alpha for which...

    Text Solution

    |

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

    Text Solution

    |

  6. The value of lamda such that sum of the squares of the roots of the qu...

    Text Solution

    |

  7. If one real root of the quadratic equation 81x^(2)+kx+256=0 is cube of...

    Text Solution

    |

  8. Let alpha and beta be the roots of the quadratic equation x^(2) sin th...

    Text Solution

    |

  9. If lamda be the ratio of the roots of the quadratic equation in x, 3m^...

    Text Solution

    |

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

    Text Solution

    |

  11. Let A={theta in (-pi /2,pi):(3+2i sin theta )/(1-2 sin theta ) is pure...

    Text Solution

    |

  12. Let Z0 is the root of equation x^2+x+1=0 and Z=3+6i(Z0)^(81)-3i(Z0)^(9...

    Text Solution

    |

  13. Let z(1) and z(2) be any two non-zero complex numbers such that 3|z(1)...

    Text Solution

    |

  14. If z=(sqrt(3)/2+i/2)^5+(sqrt(3)/2-i/2)^5 , then prove that Im(z)=0

    Text Solution

    |

  15. Let (-2 -1/3 i)^3=(x+iy)/27 (i= sqrt(-1)) where x and y are real numbe...

    Text Solution

    |

  16. Let (z-alpha)/(z+alpha) is purely imaginary and |z|=2, alphaepsilonR t...

    Text Solution

    |

  17. Let Z(1) and Z(2) be two complex numbers satisfying |Z(1)|=9 and |Z(2)...

    Text Solution

    |

  18. Consider the statement : " P(n) : n^(2)-n+41 is prime." Then, which on...

    Text Solution

    |

  19. If a ,b ,c are three distinct real numbers in G.P. and a+b+c=x b , the...

    Text Solution

    |

  20. Let a(1), a(2),....a(3) be an AP, S = sum(i = 1)^(30) a(i) and T = su...

    Text Solution

    |