Home
Class 12
MATHS
If (x-2) is a common factor of the expre...

If `(x-2)` is a common factor of the expressions `x^(2)+ax+b` and `x^(2)+cx+d`, then `(b-d)/(c-a)` is equal to

A

1

B

2

C

-1

D

-2

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|88 Videos
  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise EXERCISE-I|56 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 (x-2) is a common factor of the expression x^2 + ax + b and x ^2 + cx + d then (b-d) /( c-a ) =

If 1 is a common root of ax^(2) + ax + 2 = 0 and x^(2) + x + b = 0 "then" a.b =

If x+ 2 is a factor of x^(2) + ax + 2b and a+b = 4 then a = …………..

If 1,2,3 and 4 are the roots of the eqaution x^(4) + ax^(3) + b x^(2) + cx + d = 0, then a + 2b + c =

If 1,2,3 and 4 are the roots of the equation x^4 + ax^3 + bx^2 +cx +d=0 then a+ 2b +c=

If (x ^(2) -1) is a factor of ax ^(4) + bx ^(3) + cx ^(2) + dx +e, then show that a + c +e =b +d=0

AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-EXERCISE-II
  1. If every pair from among the equations x^(2)+ax+bc = 0, x^(2)+bx+ ca...

    Text Solution

    |

  2. If x^2 - cx +d =0 , x^2-ax +b=0 have one common root and secon...

    Text Solution

    |

  3. If (x-2) is a common factor of the expressions x^(2)+ax+b and x^(2)+cx...

    Text Solution

    |

  4. The harmonic mean of two numbers is -(8)/(5) and their geometric mea...

    Text Solution

    |

  5. The number of values of a for which (a^(2) – 3a + 2)x^(2) + (a^(2) - 5...

    Text Solution

    |

  6. The value of a so that the sum of the squares of roots of the equation...

    Text Solution

    |

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

    Text Solution

    |

  8. Out of the two roots of x^(2) + (1 - 2lambda )x + (lambda^(2)-lambda-2...

    Text Solution

    |

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

    Text Solution

    |

  10. If the roots of x^(2) - 2kx + k^(2)-1 = 0 lie between -2 and 4 then th...

    Text Solution

    |

  11. If a, b, c are real if ax^(2)+ bx + c = 0 has two real roots alpha, be...

    Text Solution

    |

  12. If x is real then the range of (x^(2)-2x+9)/(x^(2)+2x+9) is

    Text Solution

    |

  13. x in R the least value of (x^(2)-6x+5)/(x^(2)+2x+1)

    Text Solution

    |

  14. The set of values of x which satisfy 5x+2 lt 3x+8 and (x+2)/(x-1) lt 4...

    Text Solution

    |

  15. The values of x for which (x-1)/(3x+4) lt (x-3)/(3x-2)

    Text Solution

    |

  16. The solution set of the inequation 3^x+3^(1-x) -4 lt 0, is

    Text Solution

    |

  17. IF sqrt(9x^2 + 6x +1) lt (2-x) then

    Text Solution

    |

  18. The set of solutions satisfying both x^(2)+5x+6 ge 0 and x^(2)+3x-4 lt...

    Text Solution

    |

  19. {x in R: (14x)/(x+1)- (9x-30)/(x-4) lt 0} =

    Text Solution

    |

  20. If 3x^(2)+4kx+1 gt 1 for all real values of x, then k lies in the in...

    Text Solution

    |