Home
Class 11
MATHS
If the roots of the equation x^2-b x+c=0...

If the roots of the equation `x^2-b x+c=0` are two consecutive integers, then find the value of `b^2-4c`

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise All Questions|363 Videos

  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|1167 Videos

Similar Questions

Explore conceptually related problems

If the roots of the equation x^2+7x+m=0 are two consecutive whole number, then find the value of m.

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

If the roots of the equation ax^2+bx+c=0 are two consecutive integers then prove that, b^2-a^2=4ac .

If the roots of the cubic equation, 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^2-6x+6=0 are a and b then find the value of 2(a^2+b^2) .

If the roots of the equation a(b-c)x^2+b(c-a)x+c(a-b)=0 are equal,then a,b,c are in

If a and b(!=0) are the roots of the equation x^2+a x+b=0, then find the least value of x^2+a x+b(x in R)dot

If one root of the equation x^2+bx+8=0 be 4 and the roots of the equation x^2+bx+c=0 are equal , find the value of c.

If the roots of the equation x^3+P x^2+Q x-19=0 are each one more that the roots of the equation x^3-A x^2+B x-C=0,w h e r eA ,B ,C ,P ,a n dQ are constants, then find the value of A+B+Cdot

If sin theta,costheta are the roots of the equation ax^2+bx+c =0 then find the value of (a+c)^2/(b^2+c^2)

CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If tantheta and sectheta are the roots of a x^2+b x+c=0, then prove th...

    Text Solution

    |

  2. Given that the complex numbers which satisfy the equation | z bar z ^...

    Text Solution

    |

  3. If the roots of the equation x^2-b x+c=0 are two consecutive integers,...

    Text Solution

    |

  4. Let ...

    Text Solution

    |

  5. For what real value of 'a' do the roots of x^2-2x-(a^2-1)=0 lie betwee...

    Text Solution

    |

  6. If P and Q are represented by the complex numbers z1 and z2 such that ...

    Text Solution

    |

  7. Find the value of a for which the equation a sin(x+pi/4)=sin2x+9...

    Text Solution

    |

  8. Given z=f(x)+ig(x) where f,g:(0,1) to (0,1) are real valued functions....

    Text Solution

    |

  9. Let a ,b and c be real numbers such that a+2b+c=4 . Find the maximum v...

    Text Solution

    |

  10. If z=x+i y , then the equation |(2z-i)/(z+1)|=m does not represents a ...

    Text Solution

    |

  11. Prove that for real values of x ,(a x^2+3x-4)//(3x-4x^2+a) may have a...

    Text Solution

    |

  12. Given that the two curves a r g(z)=pi/6 and |z-2sqrt(3)i|=r intersect ...

    Text Solution

    |

  13. Let x^2-(m-3)x+m=0 (m epsilon R) be a quadratic equation . Find the va...

    Text Solution

    |

  14. A particle P starts from the point z0=1+2i , where i=sqrt(-1) . It ...

    Text Solution

    |

  15. Prove that for all real values of x and y ,x^2+2x y+3y^2-6x-2ygeq-11.

    Text Solution

    |

  16. Let z=x+iy be a complex number where x and y are integers then the are...

    Text Solution

    |

  17. The values of 'a' for which the equation (x^2 + x + 2)^2 - ( a-3)( x^2...

    Text Solution

    |

  18. A man walks a distance of 3 units from the origin towards the north ea...

    Text Solution

    |

  19. Find the values of a for whilch the equation sin^4x+asin^2x+1=0 will h...

    Text Solution

    |

  20. If absz=1 and z ne+-1 then all the values of z/(1-z^2) lie on

    Text Solution

    |