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

3

B

12

C

`(12)/(4)`

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Exercise ( Level 2 (Numerical answer type questions))|19 Videos

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos

  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEAR.S B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|19 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.

MCGROW HILL PUBLICATION-QUADRATIC EQUATIONS-Questions from Previous Years. AIEEE/JEE main papers
  1. Let two numbers have A.M.=9 and G.M. =4 Then these numbers are the roo...

    Text Solution

    |

  2. If (1-p) is a root of quadratic equation x^2+p x+(1-p)=0, then find it...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. If, in a /\PQR, right angled at R, tan (P/2) and tan (Q/2) are the r...

    Text Solution

    |

  6. If the sum of the squares of the roots of the equation x^(2) - (a-2) x...

    Text Solution

    |

  7. If the roots of the equation x^2-b x+c=0 are two consecutive integers,...

    Text Solution

    |

  8. If both the roots of the quadratic equation x^2-2kx+k^2+k-5=0 are less...

    Text Solution

    |

  9. If the equation a(n)x^(n)+a(n-1)x^(n-1)+..+a(1)x=0, a(1)!=0, n ge2, ha...

    Text Solution

    |

  10. If the roots of the quadratic equation x^2+p x+q=0 are tan30^0a n dtan...

    Text Solution

    |

  11. All the values of m for whilch both the roots of the equation x^2-2m x...

    Text Solution

    |

  12. If x is real , the maximum value of (3x^2+9x+17)/(3x^2+9x+7)"i s"

    Text Solution

    |

  13. If the difference between the roots of the equation x^2+a x+1=0 is les...

    Text Solution

    |

  14. The quadratic equations x^2""6x""+""a""=""0""a n d""x^2""c x""+""6"...

    Text Solution

    |

  15. If the roots of the equation b x^2+""c x""+""a""=""0 be imaginary, ...

    Text Solution

    |

  16. If alpha and beta are the roots of the equation x^(2)-x+1=0, alpha^(20...

    Text Solution

    |

  17. Let for a != a1 != 0 , f(x)=ax^2+bx+c ,g(x)=a1x^2+b1x+c1 and p(x) = f(...

    Text Solution

    |

  18. The solution of the equation e^(sin x) - e^(-sin x) - 4 = 0

    Text Solution

    |

  19. If the equation x^(2)+2x+3=0 and ax^(2)+bx+c=0, a,b,c in R have a comm...

    Text Solution

    |

  20. If alpha and beta are the roots of the equation x^2+px+(3p)/4=0 such t...

    Text Solution

    |