Home
Class 11
MATHS
The one root of the equation x^2+p x+12=...

The one root of the equation `x^2+p x+12=0` is `4,` while the equation `x^2+p x+q=0` has equal roots, the value of `q` is

A

`49/4`

B

`4/49`

C

`4`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A

One root of the equation
`x^2+px+12=0` is `4`
`⇒16+4p+12=0`
`:.p=−7`
as `x^2+px+q=0 `has equal roots.
...
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    RD SHARMA|Exercise Solved Examples And Exercises|280 Videos
  • RELATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|118 Videos

Similar Questions

Explore conceptually related problems

If one root of the equation x^(2)+px+12=0 is 4 .while the equation x^(3)+px+q=0 has equal roots,then the value of q is

If one root of the equation x^(2)+px+12=0 is 4, while the equation x^(2)+px+q=0 has equal roots,then find the value of q.

If one root of x^(2) + px+12 = 0 is 4, while the equation x ^(2) + px + q = 0 has equal roots, then the value of q is

If 2 is a root of the equation x^(2) + kx +12=0 and the equation x^(2)+kx +q=0 has equal roots, find the value of q.

If one root of x^(2)+px+12=0 is 4 while the equaltion x^(2)+px+q=0 has equal roots the q=

RD SHARMA-QUADRATIC EQUATIONS-Solved Examples And Exercises
  1. The number of solution of x^2+|x-1|=1 is (a) 0 (b) 1 (c) 2 (d)...

    Text Solution

    |

  2. If x is real and k=(x^2-x+1)/(x^2+x+1) , then k in [1//3,3] (b) k...

    Text Solution

    |

  3. The one root of the equation x^2+p x+12=0 is 4, while the equation x^2...

    Text Solution

    |

  4. If the equations x^2+2x+3lambda=0 and 2x^2+3x+5lambda=0 have a non-ze...

    Text Solution

    |

  5. Solve the quadratic equations by using the general expressions for t...

    Text Solution

    |

  6. Write the number of real roots of the equation (x-1)^2+(x+2)^2+(x-3)^2...

    Text Solution

    |

  7. Solve: x^2-(7-i)x+(18-i)=0

    Text Solution

    |

  8. If alpha,beta are roots of the equation x^2-p(x+1)-c=0, then write the...

    Text Solution

    |

  9. Write the roots of the equation (a-b)x^2+(b-c)x+(c-a)=0.

    Text Solution

    |

  10. The least value of k which makes the roots of the equation x^2+5x+k=0 ...

    Text Solution

    |

  11. If alpha,beta are the roots of the equation x^2+p x+q=0,t h e n-1/alph...

    Text Solution

    |

  12. Solve the equation 9x^2-12 x+20=0 by factorization method only.

    Text Solution

    |

  13. The set of all values of m for which both the roots of the equation x...

    Text Solution

    |

  14. Solve the following quadratic equations by factorization method: x^2-...

    Text Solution

    |

  15. Solve the equation 25 x^2-30 x+11=0 by using the general expression fo...

    Text Solution

    |

  16. Solve: 2x^2-(3+7i)x-(3-9i)=0

    Text Solution

    |

  17. The value of k for which the quadratic equation k x^2+1=k x+3x-11 x^2 ...

    Text Solution

    |

  18. The value of a such that x^2-11 x+a=0 and x^2-14 x+2a=0 may have a co...

    Text Solution

    |

  19. If the roots of x^2-b x+c=0 are two consecutive integers, then b^2-4c ...

    Text Solution

    |

  20. Solve the equation 4x^2+9=0 by factorization method.

    Text Solution

    |