Home
Class 10
MATHS
In a quadratic equation ax^(2) + bx + c ...

In a quadratic equation `ax^(2) + bx + c = 0 "if" b^(2) - 4ac gt 0` then their roots are ….

A

real and distinct

B

real and equal

C

imaginary

D

none

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    VGS PUBLICATION-BRILLIANT|Exercise CREATIVE BITS FOR CCE MODEL EXAMINATION|130 Videos

  • PROGRESSIONS (MULTIPLE CHOICE QUESTION)

    VGS PUBLICATION-BRILLIANT|Exercise PROGRESSIONS (MULTIPLE CHOICE QUESTION)|20 Videos

  • QUADRATIC EQUATIONS (MULTIPLE CHOICE QUESTION)

    VGS PUBLICATION-BRILLIANT|Exercise QUADRATIC EQUATIONS (MULTIPLE CHOICE QUESTION)|20 Videos

Similar Questions

Explore conceptually related problems

The roots of a quadratic equation ax^(2) + bx + c = 0 "is"

The roots of a quadratic equation ax^2- bx + c = 0, a ne 0 are

Show that the sum of roots of a quadratic equation ax^(2) + bx + c = 0 (a ne 0) is (-b)/(a) .

If alpha, beta are the roots of the quadratic equation ax^(2) + bx + c = 0 then form the quadratic equation whose roots are palpha, pbeta where p is a real number.

If the sum of the roots of the quadratic equation ax^(2) + bx + c = 0 is equal to the sum of the squares of their reciprocals, then a/c, b/a and c/b are in

A quadratic equation ax^(2) + bx + c = 0 has two distinct real roots, if….

Write the roots of quadratic equation ax^2+bx+c=0 when b^2-4ac>0 .

The product of roots of quadratic equation ax^(2) + bx + c = 0 is

If the quadratic equation ax^(2) + 2cx + b = 0 and ax^(2) + 2x + c = 0 ( b != c ) have a common root then a + 4b + 4c is equal to

VGS PUBLICATION-BRILLIANT-QUADRATIC EQUATIONS-EXERCISE
  1. The quadratic polynomial having 1/3 and 1/2 as its zeroes, is…..

    Text Solution

    |

  2. If x^(2) - px + q = 0 (p,q in R and p ne 0, q ne 0) has distinct real ...

    Text Solution

    |

  3. In a quadratic equation ax^(2) + bx + c = 0 "if" b^(2) - 4ac gt 0 then...

    Text Solution

    |

  4. If a number is 132 smaller than its square, then the number is

    Text Solution

    |

  5. If both roots are common to the Quadratic equations x^2-4 = 0 and x^2 ...

    Text Solution

    |

  6. The sum of the roots of 6x^2 = 1 is

    Text Solution

    |

  7. If the sum of a number and its reciprocal is 17/4, then that number is...

    Text Solution

    |

  8. The roots of a quadratic equation ax^2- bx + c = 0, a ne 0 are

    Text Solution

    |

  9. One of the roots of the Q.E. 6x^(2) - x - 2 = 0 is

    Text Solution

    |

  10. If the sum of the squares of two consecutive odd numbers is 74, then t...

    Text Solution

    |

  11. The roots of the equation 4x^(2) + 4 sqrt3x + 3 = 0 are

    Text Solution

    |

  12. The sum of a number and its reciprocal is 50/7 ,then the number is

    Text Solution

    |

  13. The roots of the equation 3x^(2) - 2 sqrt 6 x + 2 = 0 are

    Text Solution

    |

  14. If x^(2) - 2x + 1 = 0 "then" x + 1/x =

    Text Solution

    |

  15. The roots of the Q.E. sqrt 3 x^(2) -2x - sqrt 3 = 0 "are"

    Text Solution

    |

  16. One solution of the Q.E. 2x^(2) - 5x - 3 = 0 is

    Text Solution

    |

  17. If 5x^(2) - kx + 11 = 0 has a root x = 3, then k =

    Text Solution

    |

  18. The sum of the roots of the equation 3x^(2) - 7x + 11 = 0

    Text Solution

    |

  19. The positive root of sqrt (3x^(2) + 6) = 9 is

    Text Solution

    |

  20. The value of p for which 4x^(2) - 2px + 7 = 0 has a real root is

    Text Solution

    |