Home
Class 12
MATHS
If the roots of the equation x^(2)-bx+c=...

If the roots of the equation `x^(2)-bx+c=0` are two consecutive integers, then `b^(2)-4c` is

A

`-1`

B

`0`

C

`1`

D

`2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|50 Videos

  • BINOMIAL THEOREM

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|51 Videos

  • CONIC SECTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE - HYPERBOLA|9 Videos

Similar Questions

Explore conceptually related problems

If the both roots of the equation x^(2)-bx+c=0 be two consecutive integers, then b^(2)-4c equals

If the roots of x^2-bx +c=0 are two consecutive integers then b^2-4c=

If the roots of x^(2)-ax+b=0 are two consecutive odd integers, then a^(2)-4b is

If the roots of the cubic, x^2+a x^2+b x+c=0 are three consecutive positive integers, then the value of (a^2//b+1) is equal to __________.

If the roots of the equation x^(2)+2bx+c=0 are alpha" and "beta, " then "b^(2)-c =

If the roots of ht cubic, x^3+a x^2+b x+c=0 are three consecutive positive integers, then the value of (a^2//b+1) is equal to __________.

If the roots of the equation x^(2)+px+c=0 are 2,-2 and the roots of the equation x^(2)+bx+q=0 are -1,-2, then the roots of the equation x^(2)+bx+c=0 are

If alpha and beta are the roots of the equation ax^(2)+bx+c=0 then the sum of the roots of the equation a^(2)x^(2)+(b^(2)-2ac)x+b^(2)-4ac=0 is

If a, b and c are in geometric progression and the roots of the equation ax^(2) + 2bx + c = 0 are alpha and beta and those of cx^(2) + 2bx + a = 0 are gamma and delta

NEW JOYTHI PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. The value of a for which the equation 2x^(2)+2 sqrt(6)x+a=0 has equal ...

    Text Solution

    |

  2. If (3)/(2)+(7)/(2)i is a solution of the equation ax^(2)-6x+b=0, where...

    Text Solution

    |

  3. If the roots of the equation x^(2)-bx+c=0 are two consecutive integers...

    Text Solution

    |

  4. If alpha" and "beta are the roots of the equation ax^(2)+bx+c=0, (c ne...

    Text Solution

    |

  5. If a and b are the roots of the equation x^(2)+ax+b=0, a ne 0, b ne 0,...

    Text Solution

    |

  6. If x^(2)+px+q=0 has the roots alpha" and "beta, then the value of (alp...

    Text Solution

    |

  7. The value of i-i^(2)+i^(3)-i^(4)+"……."-i^(100) is equal to

    Text Solution

    |

  8. If the imaginary part of (2+i)/(ai-1) is zero, where a is a real numbe...

    Text Solution

    |

  9. The argument of the complex number ((i)/(2)-(2)/(i)) is equal to

    Text Solution

    |

  10. Let z(1)=3+4i" and "z(2)= -1+2i. Then |z(1)+z(2)|^(2)-2(|z(1)|^(2)+|z(...

    Text Solution

    |

  11. If z(1)" and "z(2) are two non-zero complex numbers such that |z(1)+z(...

    Text Solution

    |

  12. If the equation x^(2)-(2+m)x+(m^(2)-4m+4)=0 in x has equal roots, then...

    Text Solution

    |

  13. The number of integral values of b, for which the equation x^(2)+bx-16...

    Text Solution

    |

  14. If (1+i) is a root of the equation x^(2)-x+(1-i)=0, then the other roo...

    Text Solution

    |

  15. If the roots of the quadratic equation 3x^(2)+2x+a^(2)-a=0 in x are of...

    Text Solution

    |

  16. The number of real roots of the equation |x|^(2)-3|x|+2=0 is

    Text Solution

    |

  17. Let a,b, c be positive real numbers. If (x^(2)-bx)/(ax-c)=(m-1)/(m+1) ...

    Text Solution

    |

  18. The equation k sinx + cos2x= 2k-7 has a solution if

    Text Solution

    |

  19. If z(k)=e^(i thetak) for k= 1, 2, 3, 4 where i^(2)= -1, and if |sum(k=...

    Text Solution

    |

  20. If z=(-1)/(2)+i(sqrt(3))/(2), " then "8+10z+7z^(2) is equal to

    Text Solution

    |