Home
Class 10
MATHS
Write whether the following statements a...

Write whether the following statements are true or false. Justify your answers.
(i) Every quadratic equation has exactly one root.
(ii) Every quadratic equation has atleast one real root.
(ii) Every quadratic equation has atleast two roots.
(iv) Every quadratic equations atmost two roots.
(v) If he coefficient of `x^(2)` and the constnat term of a quadratic equation have opposite sigh, then the quadratic equation has real roots.
(vi) If the coefficient of `x^(2)` and the constant term have the same sign and if the coefficient of `x` term is zero, then the quadratic equation has no real roots.

Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    OSWAL PUBLICATION|Exercise NCERT EXEMPLAR (Exercise- 4.3)|12 Videos
  • QUADRATIC EQUATIONS

    OSWAL PUBLICATION|Exercise NCERT EXEMPLAR (Exercise- 4.4)|12 Videos
  • QUADRATIC EQUATIONS

    OSWAL PUBLICATION|Exercise NCERT EXEMPLAR (Exercise- 4.1)|11 Videos
  • PROBABILITY

    OSWAL PUBLICATION|Exercise Self Assessment|66 Videos
  • REAL NUMBERS

    OSWAL PUBLICATION|Exercise Self-Assessment |11 Videos

Similar Questions

Explore conceptually related problems

Write whether the following statements are true or false. Justify your answers. Every quadratic equation has exactly one root.

Write whether the following statements are true or false. Justify your answers. Every quadratic equation has at least one real root.

Write whether the following statements are true or false. Justify your answers. Every quadratic equation has at least two roots.

Write whether the following statements are true or false. Justify your answers. Every quadratic equation has at most two roots.

If the roots of a quadratic equation are -1 and 3, then the quadratic equation is

If the coefficient of x^(2) and the constant term have the same sign and if the coefficient of x term is zero, then the quadratic equation has no real roots. State true or false and justify your answer.

Every Quadratic Equation can have at most

If one root of a quadratic equation is 2 + sqrt5 , then find the quadratic equation.

OSWAL PUBLICATION-QUADRATIC EQUATIONS-NCERT EXEMPLAR (Exercise- 4.2)
  1. State whether the following quadratic equations have two distinct real...

    Text Solution

    |

  2. State whether the following quadratic equations have two distinct real...

    Text Solution

    |

  3. State whether the following quadratic equations have two distinct real...

    Text Solution

    |

  4. State whether the following quadratic equations have two distinct real...

    Text Solution

    |

  5. State whether the following quadratic equations have two distinct real...

    Text Solution

    |

  6. State whether the following quadratic equations have two distinct real...

    Text Solution

    |

  7. State whether the following quadratic equations have two distinct real...

    Text Solution

    |

  8. State whether the following quadratic equations have two distinct real...

    Text Solution

    |

  9. State whether the following quadratic equations have two distinct real...

    Text Solution

    |

  10. Write whether the following statements are true or false. Justify your...

    Text Solution

    |

  11. Write whether the following statements are true or false. Justify your...

    Text Solution

    |

  12. Write whether the following statements are true or false. Justify your...

    Text Solution

    |

  13. Write whether the following statements are true or false. Justify your...

    Text Solution

    |

  14. Write whether the following statements are true or false. Justify your...

    Text Solution

    |

  15. If the coefficient of x^(2) and the constant term have the same sign a...

    Text Solution

    |

  16. A quadratic equation with integral coefficients has integral roots. Ju...

    Text Solution

    |

  17. Does there exist a quadratic equation whose coefficients are rational ...

    Text Solution

    |

  18. Does there exist a quadratic equation whose coefficients are all disti...

    Text Solution

    |

  19. Is 0.2 a root of the equation x^(2)-0.4=0? Justify your answer.

    Text Solution

    |

  20. If b=0,c<0, is it true that the roots ofx^2+bx+c=0 are numerically equ...

    Text Solution

    |