Home
Class 12
MATHS
If the quadratic equation x^(2) +ax +b ...

If the quadratic equation ` x^(2) +ax +b =0 and x^(2) +bx +a =0 (a ne b) ` have a common root, the find the numeical value of a +b.

A

1

B

-1

C

0

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THEORY OF QUADRATIC EQUATIONS

    ML KHANNA|Exercise Miscellaneous Exercise (Matching Entries)|5 Videos
  • THE PARABOLA

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (Assertion/ Reason)|1 Videos
  • TRIGONOMETRICAL EQUATIONS

    ML KHANNA|Exercise SELF ASSESSMENT TEST |27 Videos

Similar Questions

Explore conceptually related problems

If the equations x^(2) - ax + b = 0 and x^(2) + bx - a = 0 have a common root, then

If x^(2)+ax+b=0 and x^(2)+bx+a=0,(a ne b) have a common root, then a+b is equal to

If the quadratic equation ax^(2)+2cx+b=0 and ax^(2)+2bx+c=0(b!=c) have a common root,then a+4b+4c=

If the equations x^(2)+ax+b=0 and x^(2)+bx+a=0 have one common root.Then find the numerical value of a+b.

If the quadratic equation 3x^(2) + ax+1=0 and 2x^(2) + bx+1=0 have a common root , then the value of the expression 5ab-2a^(2)-3b^(2) is

If the equation ax^(2) + bx + c = 0 and 2x^(2) + 3x + 4 = 0 have a common root, then a : b : c

ML KHANNA-THEORY OF QUADRATIC EQUATIONS -Self Assessment Test
  1. If one root of x^(2) + px+12 = 0 is 4, while the equation x ^(2)...

    Text Solution

    |

  2. Let alpha and beta are the roots of the equation x^(2) + x + 1 = 0 The...

    Text Solution

    |

  3. If the quadratic equation x^(2) +ax +b =0 and x^(2) +bx +a =0 (a ne b...

    Text Solution

    |

  4. If the roots of the equation x^2-8x+a^2-6a=0 are real distinct, then f...

    Text Solution

    |

  5. The value of k for which the equation x^(2)-(3k-1)x+2k^(2)+2k=11 have ...

    Text Solution

    |

  6. if 2 = I sqrt3 be a root of the equation x^(2) + px + q =0, where p ...

    Text Solution

    |

  7. The number of solutions of the pair of equations 2s in^2theta-cos2thet...

    Text Solution

    |

  8. If alpha, beta are roots of the equations Ax^(2)+Bx+C=0. Then value of...

    Text Solution

    |

  9. If the equation x^(2)+px+q=0 and x^(2)+qx+p=0 have a common root then ...

    Text Solution

    |

  10. If alpha and beta (alpha lt beta) are the roots of the equation x^(2) ...

    Text Solution

    |

  11. If 2a+3b+6c=0, then prove that at least one root of the equation a x^2...

    Text Solution

    |

  12. If the roots of the equation (x^2-b x)/(a x-c)=(m-1)/(m+1) are equal t...

    Text Solution

    |

  13. If sin alpha, cos alpha are the roots of the equation ax^(2)+bx+c=0, t...

    Text Solution

    |

  14. If alpha, beta are the roots of x^(2)-ax+b =0 and If alpha^(n)+beta^(n...

    Text Solution

    |

  15. The value of a for which one root of the quadratic equation (a^2-5a+3)...

    Text Solution

    |

  16. If a,b, c are in G.P., then the equations ax^(2) + 2bx + c = 0 and dx^...

    Text Solution

    |

  17. If 3 le 3t-18 le 18 then which one of the following is true

    Text Solution

    |

  18. Let alpha (a) and beta (a) be the roots of the equation (root(3)(1+a)-...

    Text Solution

    |

  19. Let alpha,beta be real and z be a complex number. If z^2+alphaz""+beta...

    Text Solution

    |

  20. Let p and q be real numbers such that p ne 0, p^(3) ne q and p^(3) ne ...

    Text Solution

    |