Home
Class 10
MATHS
If 2 is a root of the equation x^2+a x...

If 2 is a root of the equation `x^2+a x+12=0` and the quadratic equation `x^2+a x+q=0` has equal roots, then `q=`
(a) 12 (b) 8 (c) 20 (d) 16

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    RD SHARMA ENGLISH|Exercise All Questions|183 Videos
  • REAL NUMBERS

    RD SHARMA ENGLISH|Exercise All Questions|181 Videos

Similar Questions

Explore conceptually related problems

If 2 is a root of the equation x^2+b x+12=0 and the equation x^2+b x+q=0 has equal roots, then q= (a) 8 (b) -8 (c) 16 (d) -16

Root of the quadratic equation x^2+6x-2=0

If 2 is a root of the quadratic equation 3x^2+p x-8=0 and the quadratic equation 4x^2-2p x+k=0 has equal roots, find the value of kdot

If 1 is a root of the quadratic equation 3x^2+a x-2=0 and the quadratic equation a(x^2+6x)-b=0 has equal roots, find the value of bdot

If 1 is the root of equation 3x^2+ax-2=0 and the quadratic equation a(x^2+6x)-b=0 has equal roots. Find the value of b.

If-4 is a root of the quadratic equation x^2+p x-4=0 and the quadratic equation x^2+p x+k=0 has equal roots, find the value of kdot

If -4 is a root of the equation x^(2)+px-4=0 and the equation x^(2)+px+q=0 has equal roots, then the value of q is

If -5 is a root of the quadratic equation 2x^2+p x-15=0 and the quadratic equation p(x^2+x)+k=0 has equal roots, find the value of kdot

If -5 is a root of the quadratic equation 2x^2+p x-15=0 and the quadratic equation p(x^2+x)+k=0 has equal roots, find the value of kdot

If -5 is a root of the quadratic equation 2x^2+p x-15=0 and the quadratic equation p(x^2+x)+k=0 has equal roots, find the value of kdot

RD SHARMA ENGLISH-QUADRATIC EQUATIONS-All Questions
  1. If x=1 is a common root of the equations a x^2+a x+3=0 and x^2+x+b=0...

    Text Solution

    |

  2. If p and q are the roots of the equation x^2-p x+q=0 , then (a)p=1...

    Text Solution

    |

  3. If a and b can take values 1,\ 2,\ 3,\ 4 . Then the number of the ...

    Text Solution

    |

  4. Write the number of quadratic equation with real roots, which do no...

    Text Solution

    |

  5. If the equation (a^2+b^2)x^2-2(a c+b d)x+c^2+d^2=0 has equal roots, th...

    Text Solution

    |

  6. If the sum of the roots of the equation x^2-x=lambda(2x-1) is zero, ...

    Text Solution

    |

  7. If x=1 is a common root of a x^2+a x+2=0 and x^2+x+b=0 then, a b= ...

    Text Solution

    |

  8. The value of c for which the equation a x^2+2b x+c=0 has equal r...

    Text Solution

    |

  9. If x^2+k(4x+k-1)+2=0 has equal roots, then k= (a) -2/3,\ 1 (b) 2/...

    Text Solution

    |

  10. If the sum and product of the roots of the equation k x^2+6x+4k=0 ar...

    Text Solution

    |

  11. If sinalpha and cosalpha are the roots of the equation a x^2+b x+c=0...

    Text Solution

    |

  12. If 2 is a root of the equation x^2+a x+12=0 and the quadratic equa...

    Text Solution

    |

  13. If the sum of the roots of the equation x^2-(k+6)x+2(2k-1)=0 is equ...

    Text Solution

    |

  14. If a and b are roots of the equation x^2+a x+b=0 , then a+b= (a) ...

    Text Solution

    |

  15. A quadratic equation whose one root is 2 and the sum of whose roots ...

    Text Solution

    |

  16. If one root of the equation a x^2+b x+c=0 is three times the other...

    Text Solution

    |

  17. If one root of the equation 2x^2+k x-6=0 is 2, then the other root...

    Text Solution

    |

  18. If one root of the equation x^2+a x+3=0 is 1, then the other root ...

    Text Solution

    |

  19. If 1 is a common root of the equations ay^2+ay+3=0 and y^2+y+b=0,then ...

    Text Solution

    |

  20. The values of k for which the quadratic equation 16 x^2+4k x+9=0 h...

    Text Solution

    |