Home
Class 14
MATHS
If the equations x^2+bx+c=0 and x^2+dx+e...

If the equations `x^2+bx+c=0` and `x^2+dx+e=0` have a common root, which of fhe dollowing can be the common root?

A

`p-q=0`

B

`p+q= -1`

C

`pq= -1`

D

pq = 0

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • SET THEORY

    QUANTUM CAT|Exercise QUESTION BANK|81 Videos
  • TIME AND WORK

    QUANTUM CAT|Exercise QUESTION BANK |202 Videos

Similar Questions

Explore conceptually related problems

If the equations 2x^(2)-7x+1=0 and ax^(2)+bx+2=0 have a common root, then

If the equations 2x^(2)7x+1=0 and ax^(2)+bx+2=0 have a common root,then

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

If the equations ax^(2)+bx+C=0 and x^(2)+2x+4=0 have a common root then find a:b:c

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

QUANTUM CAT-THEORY OF EQUATIONS-QUESTION BANK
  1. Determine that whether there is any common root exists between the fol...

    Text Solution

    |

  2. Determine the value of the common root of the quadratic equations: x^...

    Text Solution

    |

  3. If the equations x^2+bx+c=0 and x^2+dx+e=0 have a common root, which o...

    Text Solution

    |

  4. If the equations x^2+px+q=0 and x^2+qx+p=0 have a common root, which ...

    Text Solution

    |

  5. If the equations x^2+bx+c=0 and x^2+dx+e=0 have a common root, which o...

    Text Solution

    |

  6. Find the value of m if the equations x^2+2x+3m=0 and 2x^2+3x+5m=0 h...

    Text Solution

    |

  7. For any real numbers a, b and c the equations ax^2+bx+c=0 and bx^2+c...

    Text Solution

    |

  8. If the equation x^2-a1x+b1=0 and. x^2-a2x+b2=0, have one root in commo...

    Text Solution

    |

  9. If the equations x^(2) -px +q=0 and x^(2)+qx-p=0 have a common root, t...

    Text Solution

    |

  10. Find the value of q/p , if px^2+x-15=0 and 18x^2+3x+q=0 have both the ...

    Text Solution

    |

  11. If the equation x^2+px+qr=0 and x^2+qx+rp=0 have a common root, the ot...

    Text Solution

    |

  12. If agt0 and roots are 5+2i and 5-2i, determine the natureof-the quad...

    Text Solution

    |

  13. For a quadratic equation, alt0 and b^2=4ac, determine the nature of ...

    Text Solution

    |

  14. For a quadratic equation 10x^2+x-21=0 , what is sign of the function f...

    Text Solution

    |

  15. Find the sign of 6x^(2)-5x+1 for all real value of x.

    Text Solution

    |

  16. Find the values of x for the following inequations. 3x^2-3x-6le0

    Text Solution

    |

  17. Find the values of x for the following inequations. 3x^2-3x-6lt0

    Text Solution

    |

  18. Find the values of x for the following inequations. 3x^2-3x-6ge0

    Text Solution

    |

  19. Find the values of x for the following inequations. 3x^2-3x-6gt0

    Text Solution

    |

  20. Find the values of x for the following inequations. -2x^2+8x+10ge0

    Text Solution

    |