Home
Class 11
MATHS
If alpha and beta are the roots of the e...

If `alpha` and `beta` are the roots of the equation `x^2+x+1=0`, then `alpha^2+beta^2` is equal to:

A

3

B

2

C

-1

D

none of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MODEL PAPER (15)

    JBD PUBLICATION|Exercise EXERCISE|37 Videos

  • MODEL PAPER (3)

    JBD PUBLICATION|Exercise EXERCISE|43 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta are the roots of the equations x^2-p(x+1)-c=0 , then (alpha+1)(beta+1)_ is equal to:

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

If alpha and beta is the root of the equation x^2-3x+2=0 then find the value of alpha^2 + beta^2

If alpha and beta is the root of the equation x^2-3x+2=0 then find the value of alpha^2 + beta^2 + 2alphabeta

If alpha and beta are the roots of the equation 2x^2-3x + 4=0 , then the equation whose roots are alpha^2 and beta^2, is a. 4x^(2)+7x+16=0 b. 4x^(2)+7x+6=0 c. 4x^(2)+7x+1=0 d. 4x^(2)-7x+16=0

If alpha and beta are the roots of the quadratic equation x^2+4x+3=0 , then the equation whose roots are 2 alpha+ beta are alpha+2 beta is :

If alpha and beta are the roots of x^2+x+1=0 , then alpha^16 + beta^16 =

If alpha and beta are the roots of 4x^2 + 3x + 7 = 0 then the value of alpha beta

If alpha, beta are the roots of the equation : 2x^2-2(1+n^2)x+(1+n^2+n^4)=0 , then what is the value of alpha^2 + beta^2 ?

JBD PUBLICATION-MODEL PAPER (2)-EXERCISE
  1. The range of the function f(x)=(1+x^2)/x^2 is given by:

    Text Solution

    |

  2. If A-B=pi/4 the (1+tanA)(1-tanB) is equal to:

    Text Solution

    |

  3. If alpha and beta are the roots of the equation x^2+x+1=0, then alpha^...

    Text Solution

    |

  4. If^nC12=^nC8, then n is equal to:

    Text Solution

    |

  5. If (p+q)the term of A.P is m and (p-q)the term is n, then the pth term...

    Text Solution

    |

  6. The angle between the lines 2x-y+3=0 and x+2y+3=0 is

    Text Solution

    |

  7. The eccentricity of the conic 9x^2-16y^2=144 is:

    Text Solution

    |

  8. underset(xrarra)lim (x^n-a^n)/(x-a) is equal to:

    Text Solution

    |

  9. One card is drawn from a pack of 52 cards. The probability that it is ...

    Text Solution

    |

  10. Prove the following: (sinx + sin3x)/(cosx + cos3x)=tan 2x

    Text Solution

    |

  11. In a circle of radius 21 cm, an arc subtends an angle of 60^@ at the c...

    Text Solution

    |

  12. Represent the complex number z=1+sqrt3i in the polar form.

    Text Solution

    |

  13. Find the 13th term in the expansion of (9x -1/(3sqrt(x)))^(18)

    Text Solution

    |

  14. Find the 6th term in the expansion of (x+3)^9.

    Text Solution

    |

  15. Verify that (0, 7, 10) , (-1,6,6) and (-4, 9,6) are the vertices of a ...

    Text Solution

    |

  16. Write down the truth value (T or F) of the following statement: Every ...

    Text Solution

    |

  17. Write down the truth value (T or F) of the following statement: Zero i...

    Text Solution

    |

  18. Prove that sqrt5 irrational.

    Text Solution

    |

  19. In a survey of 600 students in a school, 150 students were found to be...

    Text Solution

    |

  20. The relation 'f' is defined by f(x)={(x^2,0lexle3), (3x, 3lexle10):} ...

    Text Solution

    |