Home
Class 11
MATHS
Find the condition such that the quadrat...

Find the condition such that the quadratic equations `ax^2+bx+c`=0 and `x^2/a+x/b+1/c`=0 have exactly one root in common.

Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|19 Videos

  • RECTANGULAR CO-ORDINATES

    PATHFINDER|Exercise QUESTION BANK|27 Videos

Similar Questions

Explore conceptually related problems

Find the condition so that the two equations a_1 x^2+b_1 x+c_1=0 and a_2 x^2+b_2 x+c_2=0 will have a common root.

Find the condition for which the quadratic equation ax^2+bx+c=0 has exactly one zero root.

Find the condition for which the roots of the quadratic equation ax^2+bx+c=0(ane0) are both negative

Find the condition for which the roots of the quadratic equation ax^2+bx+c=0(ane0) are both positive

Find the condition on a , b ,c ,d such that equations 2a x^3+bx^2+c x+d=0 and 2ax^2+3b x+4c=0 have a common root.

Find the condition for which the roots of the quadratic equation ax^2+bx+c=0(ane0) are both roots are zero.

Under what condition one root of the quadratic equation ax^2 + bx + c = 0 is zero?

The equations x^2+x+a=0 and x^2+ax+1=0 have a common real root

Find the condition if equations ax^2+bx+c =0 and x^2+2x+3 =0 have a common root. (a,b,cinR)

A value of b for which the equations x^2+bx-1 =0, x^2+x+b =0 have one root in common is

PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
  1. If alpha and beta are roots of ax^2+bx+c=0 then prove that (alpha/bet...

    Text Solution

    |

  2. If (p^2+2)x^2+2p^2x+(P^2-4)=0 has root of opposite sign,then find the ...

    Text Solution

    |

  3. Find the condition such that the quadratic equations ax^2+bx+c=0 and x...

    Text Solution

    |

  4. If (x-1) is the factors fo polynomial x^3-px+q, then prove that p-q=1

    Text Solution

    |

  5. Two roots of the equation,x^3+qx^2+11x-p=0 are 2 and 3, find (p-q)

    Text Solution

    |

  6. Find the values of K for which the inequality (x-3k)(x-k-3)lt0 is sati...

    Text Solution

    |

  7. Let alpha and beta be the roots of the equation ax^2+2bx+c=0 and alpha...

    Text Solution

    |

  8. If sin theta,costheta are the roots of the equation ax^2+bx+c=0 then f...

    Text Solution

    |

  9. If the roots alpha and beta of the quadratic equation ax^2+bx+c=0 are ...

    Text Solution

    |

  10. If x^2-px+4gt0 for all real 'x' then find 'p'

    Text Solution

    |

  11. For xinR, Prove that the given expression (x^2+34x-71)/(x^2+2x-7) can ...

    Text Solution

    |

  12. If a,b,cinR : ane0 and the quadratic equation ax^2+bx+c=0 has no real ...

    Text Solution

    |

  13. Find the values of the parameter a for which the roots of the quadrati...

    Text Solution

    |

  14. Let a,b,c be real. If ax^2+bx+c=0 has two real roots alpha,beta where ...

    Text Solution

    |

  15. Find the value of a which the equation 4x^2-2x+a=0 has two roots lying...

    Text Solution

    |

  16. Find the set of all x for which : (2x)/(2x^2+5x+2)gt1/(x+1)

    Text Solution

    |

  17. Solve the following inequalities : (x-1)/(x^2-4x+3)lt1

    Text Solution

    |

  18. Solve the following inequalities : (x^2-2x-1)/(x+1)ltx

    Text Solution

    |

  19. Solve the following inequalities : (x-1)/(x)-(x+1)/(x-1)lt2

    Text Solution

    |

  20. Solve the equation (x^2-6x)^2=81+2(x-3)^2

    Text Solution

    |