Home
Class 14
MATHS
Roots are equal only when D =0....

Roots are equal only when D =0.

Promotional Banner

Topper's Solved these Questions

  • SET THEORY

    QUANTUM CAT|Exercise QUESTION BANK|81 Videos

  • TIME AND WORK

    QUANTUM CAT|Exercise QUESTION BANK |202 Videos

Similar Questions

Explore conceptually related problems

Roots are real only when D is non-negative.

Roots are rational only when D is a perfect square number like 0,1,4,9,16,….. Etc.

If the equation 9x^2+6k x+4=0 has equal roots, then the roots are both equal to +-2/3 (b) +-3/2 (c) 0 (d) +-3

if (x-a)(x-5)+2=0 has only integral roots where a in I, when value of 'a' can be: 8 b.7 c.6 d.5

. If the difference of the roots is equal to the product of the roots of the equation 2x^(2)-(a+1)x+(a-1)=0 then the value of a is

The equal roots are called Double Root.

If the two equation x^(2)-cx+d=0 and x^(2)-ax+b=0 have one common root and the second has equal roots then 2(b + d) is equal to

QUANTUM CAT-THEORY OF EQUATIONS-QUESTION BANK
  1. Roots are complex (or imaginary) when D is negative.

    Text Solution

    |

  2. Roots are rational only when D is a perfect square number like 0,1,4,9...

    Text Solution

    |

  3. Roots are equal only when D =0.

    Text Solution

    |

  4. The equal roots are called Double Root.

    Text Solution

    |

  5. When the roots are irrational they are in conjugate pairs as if one ro...

    Text Solution

    |

  6. When the roots are complex they are in conjugate pairs as if one root ...

    Text Solution

    |

  7. If Dgt0,a=1,b,cinZ (integer numbers) and roots are rational,prove tha...

    Text Solution

    |

  8. If a quadratic equation has one real root and a,b,cinR. other root is ...

    Text Solution

    |

  9. If the roots are real and equal, the graph will touch the x-axis.

    Text Solution

    |

  10. If the roots are real and unequal, the graph will intercept the X-axis...

    Text Solution

    |

  11. If the roots are non-real, the. graph does not touch the X-axis.

    Text Solution

    |

  12. The points on the x-axis, where the quadratic graph touches or interce...

    Text Solution

    |

  13. Find the nature of the roots of the quadratic equation (a-b)x^2+(b-c)x...

    Text Solution

    |

  14. If (a+b+c=0, find the nature of the roots of ttie equation (c^2-ab)x...

    Text Solution

    |

  15. Determine k for which the roots of the equation 9x^(2)+2kx+4=0 are equ...

    Text Solution

    |

  16. Which of the following quadratic expression can be expressed as a prod...

    Text Solution

    |

  17. Which of the following quadratic expression can be expressed as a prod...

    Text Solution

    |

  18. Which of the following quadratic expression can be expressed as a prod...

    Text Solution

    |

  19. Which of the following quadratic expression can be expressed as a prod...

    Text Solution

    |

  20. Find the set of values of p for which the quadratic equation has real ...

    Text Solution

    |