Home
Class 12
MATHS
If one root of x^(2) + px+12 = 0 is 4...

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

A

`(4)/(49)`

B

4

C

`(49)/(4)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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 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 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 x^(2) - px + q = 0 has equal integral roots, then

The one root of the equation x^(2)+px+12=0 is 4, while the equation x^(2)+px+q=0 has equal rots,the value of q is 49/4 (b) 4/49 (c) 4 (d) none of these

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

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.

Given that 2 is a root of the equation 3x^(2)-p(x+1)=0 and that the equation px^(2)-qx+9=0 has equal roots,find the values of p and q

ML KHANNA-THEORY OF QUADRATIC EQUATIONS -Self Assessment Test
  1. Find the number of solution of the equation e^(sinx)-e^(-sinx)-4=0

    Text Solution

    |

  2. The roots of the equation (p-q) x^(2)+(q-r) x+(r-p)=0 are

    Text Solution

    |

  3. If one root of x^(2) + px+12 = 0 is 4, while the equation x ^(2)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |