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

If `alpha and beta ` are the roots of the equation `x^(2) - p(x + 1) - q = 0` , then the value of :
`(alpha^(2) + 2 alpha + 1)/(alpha^(2)+ 2 alpha + q) + (beta^(2) + 2 beta + 1)/(beta^(2) + 2 beta + q)` is :

A

2

B

3

C

0

D

1

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|13 Videos

  • QUADRATIC EQUATIONS

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|13 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS (QUESTIONS FROM KARNATAKA CET & COMED )|11 Videos

  • REAL NUMBERS

    MODERN PUBLICATION|Exercise Multiple Choice Questions (Level-II)|8 Videos

Similar Questions

Explore conceptually related problems

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

If alpha , beta are the roots of the equation : x^(2) + x sqrt(alpha) + beta = 0 , then the values of alpha and beta are :

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

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

If alpha and beta be the roots of the equation x^(2) + 7x + 12 = 0 . Then equation whose roots are (alpha + beta)^(2) and (alpha - beta)^(2) is :

If alpha and beta are the zeroes of the polynomial 2x^2 + 5x + 1 , then the value of alpha +beta+ alpha beta is

If alpha, beta are the roots of the equation x^(2)+x+1=0 , then the equation whose roots are (alpha)/(beta) and (beta)/(alpha) 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 the complex roots of the equation (1+i)x^(2)+(1-i)x-2i=o where i=sqrt(-1) , the value of |alpha-beta|^(2) is

If alpha and beta are zeros of the quadratic polynomial f(x) = x^(2) - p (x + 1) - c , show that (alpha + 1) (beta + 1) = 1- c

MODERN PUBLICATION-QUADRATIC EQUATIONS -MULTIPLE CHOICE QUESTIONS (LEVEL-II)
  1. If alpha and beta are the roots of the equation x^(2) - p(x + 1) - q ...

    Text Solution

    |

  2. If alpha and beta the roots of x^(2) + px + q = 0 and alpha^(4), beta...

    Text Solution

    |

  3. If a, b and c real numbers such that a^(2) + b^(2) + c^(2) = 1, then...

    Text Solution

    |

  4. If the roots of the equation (x^(2) -bx)/(ax -c) = (lambda - 1)/(lambd...

    Text Solution

    |

  5. Solution set of x^(2 log x) = 10 x^(2) is :

    Text Solution

    |

  6. If x satisfies |x - 1 | + | x - 2 | + | x - 3 | ge 6 , then :

    Text Solution

    |

  7. The equation sqrt(x + 3 - 4 sqrt(x - 1)) + sqrt(x + 8 - 6 sqrt(x - 1...

    Text Solution

    |

  8. The number of real roots of : 1 + a(1)X + a(2) x^(2) .... + a(n) x^...

    Text Solution

    |

  9. The solution of x - 1 = (x - [x]) (x - {x}), ( where [x] and {x} are i...

    Text Solution

    |

  10. Let a, b,c in R and a ne 0. If alpha is a root of a^(2) x^(2) + bx + c...

    Text Solution

    |

  11. The equation : x^(3//4 (log(2) x)(4)^(2) + log(2) x - 5//4) = sqrt...

    Text Solution

    |

  12. The product of the roots of the equation x^(2) - 4 mx + 3e^(2 " log m...

    Text Solution

    |

  13. The value of 'a' for which the equation x^(3) + ax + 1 = 0 and x^(4) +...

    Text Solution

    |

  14. The number of real solutions of ((9)/(10))^(x) = - 3 + x - x^(2) is :

    Text Solution

    |

  15. If a + b + c = 0 , then the equation equation : 3ax^(2) + 2bx + c = ...

    Text Solution

    |

  16. If alpha, beta are the roots of ax^(2) - 26x + c = 0, then alpha^(3...

    Text Solution

    |

  17. If alpha , beta are roots of 375x^(2) - 25x - 2 = 0 and s(n) = alpha^...

    Text Solution

    |

  18. A quadratic equation whose roots are ((gamma)/(alpha))^(2) and ((beta...

    Text Solution

    |

  19. If alpha, beta are the roots of lambda(x^(2)+x)+x+5=0 and lambda(1), l...

    Text Solution

    |

  20. The least integer satisfying : 49.4 - ((27 - x)/(10)) lt 47.4 - ((2...

    Text Solution

    |