Home
Class 12
MATHS
If the roots of x^(2)-ax+b=0 are two con...

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

A

`3`

B

`4`

C

`5`

D

`6`

Text Solution

Verified by Experts

The correct Answer is:
B
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 roots of x^2-bx +c=0 are two consecutive integers then b^2-4c=

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

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 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 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 __________.

Find two consecutive positive odd integers, sum of whose squares is 290.

The quadratic x^2+a x+b+1=0 has roots which are positive integers, then (a^2+b^2) can be equal to a. 50 b. 37 c. 61 d. 19

If the roots of ax^(2)+bx+c=0 are real and equal then ………….. A) b^(2)-4ac lt 0 B) b^(2)-4ac=0 C) b^(2)-4ac gt 0 D)cannot say

If the roots of (a-b)x^(2)+(b-c)x+(c-a)=0 are equal, prove that 2a=b+c .

If 8 and 2 are the roots of x^(2) + ax + c = 0 and 3,3 are the roots of x^(2) + dx + b = 0, then the roots of the equation x^(2) + ax + b = 0 are

NEW JOYTHI PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. If z(1)= 2sqrt(2)(1+i)" and "z(2)=1+isqrt(3), then z(1)^(2)z(2)^(3) is...

    Text Solution

    |

  2. If the complex numbers z(1), z(2)" and "z(3) denote the vertices of an...

    Text Solution

    |

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

    Text Solution

    |

  4. If alpha" and "beta are the roots of x^(2)-ax+b^(2)=0, then alpha^(2)+...

    Text Solution

    |

  5. If alpha" and "beta are the roots of the equation x^(2)+3x-4=0, then ...

    Text Solution

    |

  6. The value of x such that 3^(2x)-2(3^(x+2))+81=0 is

    Text Solution

    |

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

    Text Solution

    |

  8. The equation whose roots are the squares of the roots of the eqation 2...

    Text Solution

    |

  9. z and omega are two nonzero complex number such that |z|=|omega|" and ...

    Text Solution

    |

  10. If |z-4| lt |z-2|, its solution is given by

    Text Solution

    |

  11. The locus of the centre of a circle which touches the circle |z-z(1)|=...

    Text Solution

    |

  12. If alpha ne beta" but "alpha^(2)=5 alpha-3" and "beta^(2)= 5 beta-3 th...

    Text Solution

    |

  13. Difference between the corresponding roots of x^(2)+ax+b=0" and "x^(2)...

    Text Solution

    |

  14. Product of real roots of the equation x^(2)+|x|+9=0

    Text Solution

    |

  15. If p and q are the roots of the equation x^(2)+px+q=0, then

    Text Solution

    |

  16. If a,b , c are distinct +ve real numbers and a^(2)+b^(2)+c^(2)=1" then...

    Text Solution

    |

  17. The value of a for which one root of the quadratic equation (a^(2)-5a+...

    Text Solution

    |

  18. If the sum of the roots of the quadratic equation ax^(2)+bx+c=0 is equ...

    Text Solution

    |

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

    Text Solution

    |

  20. If ((1+i)/(1-i))^(x)=1, then

    Text Solution

    |