Home
Class 12
MATHS
IF x^2 +bx +a=0, ax^2+x+b=0 have a co...

IF ` x^2 +bx +a=0, ax^2+x+b=0` have a common root and the first equation has equal roots then ` 2a^2+b=`

A

0

B

-1

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise EXERCISE-II|121 Videos

  • PROBABILITY

    AAKASH SERIES|Exercise Practise Exercise|165 Videos

  • RANDOM VARIABLE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|34 Videos

Similar Questions

Explore conceptually related problems

If the equation x^(2)+ax+b=0 and x^(2)+cx+d=0 have a common root and the first equation has equal roots, then prove that 2(b+d)=ac.

IF x^2 +bx +c=0, x^2+cx +b=0 (b ne c) have a coomon root then b+c=

If x^2+ax+b=0,x^2+bx+a=0 have a common roots then

If x^2 - cx +d =0 , x^2-ax +b=0 have one common root and second has equal roots then 2 (b+d) =

If x^2 + bx + ca =0 , x^2 + cx +ab =0 have a common root then their other are the roots of the equation

IF x^2 +ax+bc=0 and x^2+bx +ca=0 have a common root , then a + b+ c=

IF x^2 +px + q=0 and x^2 + qx +p=0 have a common root , then their other roots are the roots of

IF ax^2 + 2cx + b=0 and ax^2 + 2bx +c=0 ( b ne 0) have a common root , then b+c=

If x^(2)-6x+5=0 and x^(2)-3ax+35=0 have common root, then find a.

AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-PRACTICE EXERCISE
  1. If the equation x^(2)+ax+b=0 and x^(2)+bx+a=0 have a common root, then...

    Text Solution

    |

  2. Suppose the that quadratic equations ax^(2)+bx+c=0 and bx^(2)+cx+a=0 h...

    Text Solution

    |

  3. IF x^2 +bx +a=0, ax^2+x+b=0 have a common root and the first eq...

    Text Solution

    |

  4. If the quadratic equation ax^(2) + 2cx + b = 0 and ax^(2) + 2x + c = 0...

    Text Solution

    |

  5. the expression 2x ^2 + 4x +7 has minimum value m at x= alpha ...

    Text Solution

    |

  6. The maximum value of the expression (x^(2)+x+1)/(2x^(2)-x+1), for x in...

    Text Solution

    |

  7. A = The maximum value of 4x^(2) + 4x + 5 B = The maximum value of 8x...

    Text Solution

    |

  8. The range of (x^(2)-x+1)/(x^(2)+x+1) is

    Text Solution

    |

  9. Out of the two roots of x^(2)-2 lambda x + lambda^(2)-1= 0, one is gre...

    Text Solution

    |

  10. Assertion (A): The roots of ax^(2) + bx + c = 0, where a != 0, b, c in...

    Text Solution

    |

  11. If x in R, then the range of (x)/(x^(2)-5x + 9) is

    Text Solution

    |

  12. If 4 lt x lt 8 then the value of 12x -x^(2) - 32 is

    Text Solution

    |

  13. The greatest positive integral value of x for which 200 - x(10 + x) is...

    Text Solution

    |

  14. The range of values of x which satisfy 2x^(2) + 9x + 4 lt 0 and x^(2) ...

    Text Solution

    |

  15. If x^(2) + 6x-27 gt 0, -x^(2) + 3x + 4 lt 0, then x lies in the interv...

    Text Solution

    |

  16. If 4x^(2) + kx + 3 ge 0 for all real values of x then k lies in the in...

    Text Solution

    |

  17. The greatest negative integer satisfying x^(2) - 4x - 77 lt 0 and x^(2...

    Text Solution

    |

  18. IF the inequation sqrt(3x -8) lt -2 then

    Text Solution

    |

  19. The range of values of x for which the inequality (x-1)/(4x+5) lt (x-3...

    Text Solution

    |

  20. If sqrt(2x - 4) le 2 - x, then the range of x is

    Text Solution

    |