Home
Class 12
MATHS
If roots of the equation x^2-bx +c=0 ...

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

A

`-2`

B

`3`

C

`2`

D

`1`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B (QUADRATIC EXPRESSIONS)|106 Videos

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -1)|4 Videos

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -4)|4 Videos

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) Set-4|10 Videos

  • RELATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise|49 Videos

Similar Questions

Explore conceptually related problems

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

IF the roots of a^2x^2-abx +c=0 are consecutive integers , then b^2-a^2 =

IF the roots of the equation ax ^2 +bx + c=0 are real and distinct , then

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

If i sin theta and -cos theta are the roots of the equation ax^(2)-bx-c=0 where a,b, and c are the sides of a triangle ABC, then cosB is equal to

The roots of the equation (b-c) x^2 +(c-a)x+(a-b)=0 are

If the roots of the equation ax^2+bx +c=0 be the square roots of the equation lx^2+mx +n=0 then

The roots of the equation ( a-b) x^2 +(b-c) x+ (c-a) =0 are

If the ratio of the roots of the equation ax^(2)+bx+c=0 is m: n then

DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. The value of 'a' for which one root of the quadratric equation ...

    Text Solution

    |

  2. IF both the roots of the quadratic equation x^2-2kx+k^2 +k -5=0 a...

    Text Solution

    |

  3. If roots of the equation x^2-bx +c=0 be two consecutive intege...

    Text Solution

    |

  4. p and q are distinct prime numbers and if the equation x^2 -px ...

    Text Solution

    |

  5. IF both the roots of the equation x^2 -6ax+2-2a +9a^2 =0 exceed 3...

    Text Solution

    |

  6. If the roots of x^2+x+a=0 exceed , a then

    Text Solution

    |

  7. The roots of 3x^2 + 4x -7=0 are

    Text Solution

    |

  8. The roots of 5x^2 -3x +2=0 are

    Text Solution

    |

  9. The roots of the equation (b-c) x^2 +(c-a)x+(a-b)=0are

    Text Solution

    |

  10. IF ad ne bc then the roots of (a^2 +b^2)x^2+2x(ac+bd) +(c^2 +d^2)...

    Text Solution

    |

  11. For p,q in R, the roots of (p^2+q^2)x^2+2(p+q)x+2=0 are

    Text Solution

    |

  12. The roots of the equation 2(a ^2 +b^2)x^2+2(a+b)x+1=0 are

    Text Solution

    |

  13. The roots of (x-b)(x-c) +(x-a)(x-c) +(x-a) (x-b)=0 are

    Text Solution

    |

  14. The roots of (x-a) (x-a -1) +(x-a-1) +(x-a-2) +(x-a) (x-a-2)=0 a in...

    Text Solution

    |

  15. IF l,m,n are rational the roots of (m +n) x^2 -(l+m+n)x+l =0 are

    Text Solution

    |

  16. If the roots of a^2x^2 + 2 bx + c^2 =0 are imaginary then the ro...

    Text Solution

    |

  17. IF the roots of (a^2 +b^2 ) x^2 +2 (bc + ad ) x +(c^2+d^2)=0 ar...

    Text Solution

    |

  18. IF m,n,K are rational and m=k +(n)/(k) then the roots of x^2 ...

    Text Solution

    |

  19. IF alpha , beta are the roots of x^2 +px +q=0 and alpha ^4 ...

    Text Solution

    |

  20. Let a,b,c be real numbers a ne 0 if alpha is a roots of a^2 ...

    Text Solution

    |