Home
Class 12
MATHS
If a and b are the roots of the equation...

If a and b are the roots of the equation `x^2""x""+""1""=""0` , then `alpha^(2009)+beta^(2009)=` (1) `1` (2) 1 (3) 2 (4) `2`

A

-2

B

-1

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION

    MOTION|Exercise EXERCISE -3 (SUBJECTIVE)|36 Videos
  • PERMUTATION AND COMBINATION

    MOTION|Exercise EXAMPLE|23 Videos
  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -4 Level -II Previous Year /JEE Advanced|22 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta are the roots of the equation x^(2)-x+1=0, then alpha^(2009)+beta^(2009)=(1)1(2)1(3)2(4)2

If alpha and beta are the roots of the equation x^(2)-x+1=0, then alpha^(2009)+beta^(2009)=-1 (b) 1( c) 2(d)-2

If alpha and beta are the roots of the equation x^(2)-x+1=0, alpha^(2009)+beta^(2009 is equal to

if alpha and beta are the roots of the equation x^(2)+x+1=0 then alpha^(28)+beta^(28)=(A)1(B)-1(C)0(D)2

If alpha and beta are the roots of the equation 4x^(2)+3x+7=0, then (1)/(alpha)+(1)/(beta)=

If alpha,beta are the roots of the quadratic equation 4x^(2)-4x+1=0 then alpha^(3)+beta^(3)=

If alpha and beta are the roots of the equation 3x^(2)+8x+2=0 then ((1)/(alpha)+(1)/(beta))=?

MOTION-QUADRATIC EQUATION-EXERCISE 4 (PREVIOUS YEAR| JEE MAIN)
  1. How many real solutions does the equation x^7+14 x^5+16 x^3+30 x-560=0...

    Text Solution

    |

  2. If the roots of the equation b x^2+""c x""+""a""=""0 be imaginary, ...

    Text Solution

    |

  3. If a and b are the roots of the equation x^2""x""+""1""=""0 , then alp...

    Text Solution

    |

  4. 8. Sachin and Rahul attempted to solve a quadratic equation. Sachin ma...

    Text Solution

    |

  5. Show that the equation e^(sinx)-e^(-sinx)-4=0 has no real solution.

    Text Solution

    |

  6. The real number k for which the equation, 2x^3+""3x""+""k""=""0 has tw...

    Text Solution

    |

  7. If the equation x^(2)+2x+3=0 and ax^(2)+bx+c=0, a,b,c in R have a comm...

    Text Solution

    |

  8. Let alpha and beta be the roots of equation px^2 + qx + r = 0 , p != ...

    Text Solution

    |

  9. If a in R and the equation -3(x-[x])^2+2(x-[x])+a^2=0 (where [x] denot...

    Text Solution

    |

  10. Let alpha and beta be the roots of equation x^2-6x-2""=""0 . If an=...

    Text Solution

    |

  11. alpha,beta be the roots of the equation x^2-px+r=0 and alpha/2 , 2beta...

    Text Solution

    |

  12. Let f(x)=(x^(2)-6x+5)/(x^(2)-5x+6) Match the expressions/ statements i...

    Text Solution

    |

  13. Let a,b,c,p,q be the real numbers. Suppose alpha,beta are the roots of...

    Text Solution

    |

  14. The smallest value of k, for which both the roots of the equation, x^2...

    Text Solution

    |

  15. Q. Let p and q real number such that p!= 0,p^2!=q and p^2!=-q. if alph...

    Text Solution

    |

  16. Let alpha and beta be the roots of x^2-6x-2=0 with alpha>beta if an=al...

    Text Solution

    |

  17. A value of b for which the equation x^2+b x-1=0,x^2+x+b=0 have one roo...

    Text Solution

    |

  18. Let a in R and let f: R to R be given by f(x) =x^(5) -5x+a. then

    Text Solution

    |

  19. The quadratic equation p(x)=0 with real coefficients has purely imagin...

    Text Solution

    |

  20. Let S be the set of all non-zero real numbers such that the quadratic ...

    Text Solution

    |