Home
Class 10
MATHS
The roots of the each of the following q...

The roots of the each of the following quadratic equations are real
and equal, find k.
`3y^(2)+ky+12=0`

Text Solution

Verified by Experts

The correct Answer is:
(i) `k=-12 or k=12`
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    TARGET PUBLICATION|Exercise Practice set 2.6|19 Videos

  • QUADRATIC EQUATIONS

    TARGET PUBLICATION|Exercise probelm set - 2|69 Videos

  • QUADRATIC EQUATIONS

    TARGET PUBLICATION|Exercise Practice set 2.4|20 Videos

  • PYTHAGORAS THEOREM

    TARGET PUBLICATION|Exercise Chapter Assessment|13 Videos

  • QUESTION FROM STD. IX

    TARGET PUBLICATION|Exercise Statistics|11 Videos

Similar Questions

Explore conceptually related problems

The roots of the following quadratic equation are real and equal. Find k. 3y^2+ky+12=0

The roots of the following quadratic equation are real and equal. Find k . kx(x-2)+6=0

What are the roots of the following quadratic equations? p^2-9=0

What are the roots of the following quadratic equations? x^2+x-6=0

What are the roots of the following quadratic equations? x^2+3x+2=0

What are the roots of the following quadratic equations? (x+5)(x-2)=0

Solve the following quadratic equations by completing the square method. 9y^(2)-12y+2=0

Find the value of k for which given quadratic equation has real and equal roots: 4x^2-3kx+1=0

Solve the following quadratic equation by completing square method: 3y^2+7y+1=0

Solve the following quadratic equations by using formula. (vi) 3y^2+7y+4=0

TARGET PUBLICATION-QUADRATIC EQUATIONS-Practice set 2.5
  1. alpha, beta are roots of y^(2)-2y-7=0 find, (i) alpha^(2)+beta^(2) "...

    Text Solution

    |

  2. alpha, beta are roots of y^(2)-2y-7=0 find, (i) alpha^(2)+beta^(2) "...

    Text Solution

    |

  3. The roots of the each of the following quadratic equations are real ...

    Text Solution

    |

  4. For what value of k, are the roots of the quadratic equation kx (x-...

    Text Solution

    |

  5. Fill in the gaps and complete. (i)

    Text Solution

    |

  6. Fill in the gaps and complete. (ii)

    Text Solution

    |

  7. Fill in the gaps and complete. (iii)

    Text Solution

    |

  8. Find the value of discriminant. (i) x^2+7x-1=0

    Text Solution

    |

  9. Find the value of discriminant. (ii) 2y^2-5y+10=0

    Text Solution

    |

  10. Find the value of discriminant. (iii) sqrt(2)x^2+4x+2sqrt(2)=0

    Text Solution

    |

  11. Determine the nature of roots of the following quadratic equations. ...

    Text Solution

    |

  12. Determine the nature of roots of the following quadratic equations. ...

    Text Solution

    |

  13. Determine the nature of roots of the following quadratic equations. ...

    Text Solution

    |

  14. Form the quadratic equation from the roots given below. (i) 0 and 4

    Text Solution

    |

  15. Form the quadratic equation from the roots given below. (ii)3 and -1...

    Text Solution

    |

  16. Form the quadratic equation from the roots given below. (iii) 1/2,1/...

    Text Solution

    |

  17. Form the quadratic equation from the roots given below. (iv)2-sqrt(5...

    Text Solution

    |

  18. Sum of the roots of a quadratic equation is double their product. Fi...

    Text Solution

    |

  19. alpha,beta are roots of y^2-2y-7=0 find, (i) alpha^2+beta^(2) .

    Text Solution

    |

  20. alpha,beta are roots of y^2-2y-7=0 find, (i) alpha^2+beta^(2) .

    Text Solution

    |