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|20 Videos
  • QUADRATIC EQUATIONS

    TARGET PUBLICATION|Exercise probelm set - 2|70 Videos
  • QUADRATIC EQUATIONS

    TARGET PUBLICATION|Exercise Practice set 2.4|20 Videos
  • PYTHAGORAS THEOREM

    TARGET PUBLICATION|Exercise Chapter Assessment|16 Videos
  • QUESTION FROM STD. IX

    TARGET PUBLICATION|Exercise Statistics|14 Videos

Similar Questions

Explore conceptually related problems

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

Find the nature of the roots of the following quadratic equations. If the real roots exist, find them : 3x^(2) - 4 sqrt(3)x + 4 = 0

Find the nature of the roots of the following quadratic equations. If the real roots exist, find them : 2x^(2) - 3x + 5 = 0

Find the values of k for each of the following quadratic equations, so that they have two equal roots. (i) 2x^2+k x+3=0 (ii) k x(x-2)+6=0

If the roots of the quadratic equation x^(2) +2x+k =0 are real, then

Find the value of k ,such that the following quadratic equation has equal roots (k-12)x^(2)-2(k-12)x+2=0

Find k, if the roots of the quadratic equation kx^2-4x+4=0 are equal

Find k, if the roots of the quadratic equation kx^2-4x+4=0 are equal

If the roots of the quadratic equation 2x^(2)+8x+k=0 are equal, find the value of k .

Find the value (s) of k for which the given quadratic equations has real and equal roots: (i) 9x^2+8kx+16=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 an...

    Text Solution

    |

  4. For what value of k, are the roots of the quadratic equation kx (x-2) ...

    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. x^(2)+7x-1=0

    Text Solution

    |

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

    Text Solution

    |

  10. Find the value of discriminant. 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. 0 and 4

    Text Solution

    |

  15. Form the quadratic equation from the roots given below. 3 and -10

    Text Solution

    |

  16. Form the quadratic equation from the roots given below. 1/2 and (-1)...

    Text Solution

    |

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

    Text Solution

    |

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

    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

    |