Home
Class 12
MATHS
If the equations a x^(2)+2 b x+c-0 and a...

If the equations a `x^(2)+2 b x+c-0` and a `x^(2)+2 c x+b=0`, `b ne c` have a common root, then `(a)/(b+c)=`

A

1)1

B

2)`-4`

C

3)`-(1)/(2)`

D

4)` -(1)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|97 Videos
  • SETS,RELATIONS AND FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|285 Videos

Similar Questions

Explore conceptually related problems

If the equations : x^(2) + 2x + 3 = 0 and ax^(2) + bx + c =0 a, b,c in R, Have a common root, then a: b : c is :

If the equation : x^(2 ) + 2x +3=0 and ax^(2) +bx+ c=0 a,b,c in R have a common root then a: b: c is :

If the equations x^(2)+a x+b=0 and x^(2)+b x+a=0(a ne b) have a common root, then a+b=

If a,b,c are in G.P.L, then the equations ax^(2) + 2bx + c = 0 0 and dx^(2) + 2ex+ f = 0 have a common root if ( d)/( a) , ( e )/( b ) , ( f )/( c ) are in :

If the quadratic equations, a x^2+2c x+b=0 and a x^2+2b x+c=0(b!=c) have a common root, then a+4b+4c is equal to:

If ax^2 + bx + c = 0 and bx^2 + cx+a= 0 have a common root and a!=0 then (a^3+b^3+c^3)/(abc) is

If equations ax^(2)-bx+c=0 (where a,b,c epsilonR and a!=0 ) and x^(2)+2x+3=0 have a common root, then show that a:b:c=1:2:3

If the equations x^(2)+b^(2)=1-2b x and x^(2)+a^(2)=1-2 a x have one and only one root common then |a-b|=

If x^(2) + ax + b = 0 and x^(2) + bx + a = 0 have a common root, then the numberical value of a + b is :

If the equation x^2+2x+3=0 and ax^2+bx+c=0 have a common root then a:b:c is

HIMALAYA PUBLICATION-QUADRATIC EQUATIONS AND EXPRESSION-Question Bank
  1. If the equations x^(2)+b^(2)=1-2b x and x^(2)+a^(2)=1-2 a x have one a...

    Text Solution

    |

  2. The number of values of a such that x^(2)-11 x+a and x^(2)-14 x+2 a ha...

    Text Solution

    |

  3. If the equations a x^(2)+2 b x+c-0 and a x^(2)+2 c x+b=0, b ne c have ...

    Text Solution

    |

  4. If the equations x^(2)+a x+b=0 and x^(2)+b x+a=0(a ne b) have a common...

    Text Solution

    |

  5. If x^(2)-p x+q=0 has equal integral roots, then

    Text Solution

    |

  6. Find the condition that quadratic equations x^(2)+ax+b=0 and x^(2)+bx+...

    Text Solution

    |

  7. If both roots of the equation x^(2)-2 a x+a^(2)-1= 0 lie between -2 an...

    Text Solution

    |

  8. If alpha, beta are the roots of a x^(2)+b x+c=0 and A(n)=alpha^(n)+bet...

    Text Solution

    |

  9. If alpha, beta are the roots of x^(2)-a x+b=0 and A(n)='alpha'^(n)+bet...

    Text Solution

    |

  10. In the equation x^(2)+p x+q=0 the coefficient of x was incorrectly wri...

    Text Solution

    |

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

    Text Solution

    |

  12. If a, b, c are in A.P and (b-c) x^(2)+(c-a) x+(a-b)=0 and 2(c+a) x^(2)...

    Text Solution

    |

  13. If A,G and H are respectively A.M.,G.M. and H.M. of three positive num...

    Text Solution

    |

  14. If the ratio of the roots of the equation a x^(2)+b x+c=0 is equal to ...

    Text Solution

    |

  15. If a, b, c are in H . P, then the equation a(b-c) x^(2)+b(c-a) x+c...

    Text Solution

    |

  16. The quadratic equation whose roots are A.M and H . M between the roots...

    Text Solution

    |

  17. Root(s) of the equation 9 x^(2)-18|x|+5=0 belonging to the domain of ...

    Text Solution

    |

  18. Real roots of the equation x^(2)+6|x|+5=0 are

    Text Solution

    |

  19. The sum of the roots of the equation|x^(2)+4 x+3|+2 x+5=0 is

    Text Solution

    |

  20. The set of all real numbers x for which x^(2)-|x+2|+x>0 is

    Text Solution

    |