Home
Class 12
MATHS
If x^2 + mx + 1 = 0 and (b-c)x^2 + (c-a)...

If `x^2 + mx + 1 = 0` and `(b-c)x^2 + (c-a)x + (a-b) =0` have both roots common, then

A

`m=-1`

B

`m=2`

C

`m=-2`

D

`b,a,c ` are in AP

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Ellipse and Hyberbola

    A DAS GUPTA|Exercise EXERCISE|65 Videos
  • Function

    A DAS GUPTA|Exercise Exercise|57 Videos

Similar Questions

Explore conceptually related problems

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

if x^(2)+bx+c=0&2x^(2)+9x+10=0 have both roots common then find b&c

If the equation ax^(2) + bx + c = 0 and 2x^(2) + 3x + 4 = 0 have a common root, then a : b : c

If the equations k(6x^2+3)+rx+2x^2-1=0 and 6k(2x^2+1)+px+4x^2-2=0 have both roots common then the value of (2r-p) is A. 0 B. 1/2 C.1 D.None

If a(b-c)x^(2)+b(c-a)x+c(a-b)=0 has equal root,then a,b,c are in

A DAS GUPTA-Equations, Inequation and Expressions-Exercise
  1. . For what value of m will the equation (x^2-bx)/(ax-c)=(m-1)/(m+1) h...

    Text Solution

    |

  2. If alphaa n dbeta are the roots of x^2+p x+q=0a n dalpha^4,beta^4 are ...

    Text Solution

    |

  3. If x^2 + mx + 1 = 0 and (b-c)x^2 + (c-a)x + (a-b) =0 have both roots c...

    Text Solution

    |

  4. Solve the equation x^4-4x^2+8x+35=0 gine that one of roots is 2+sqrt(-...

    Text Solution

    |

  5. Let alpha,beta be the roots of the equation (x-a)(x-b)=c ,c!=0. Then t...

    Text Solution

    |

  6. If the roots of the equation x^3-12 x^2+39 x-28=0 are in A.P. th...

    Text Solution

    |

  7. If P(x)=ax^2+bx+c, Q(x)=-ax^2+dx+c where ac!=0 then P(x).Q(x)=0 has

    Text Solution

    |

  8. if b^(2)ge4ac for the equation ax^(4)+bx^(2) +c=0 then roots of the e...

    Text Solution

    |

  9. The largest interval for whichx^(12)+x^9+x^4-x+1>0 -4<xlt=0 b. 0<x<1 ...

    Text Solution

    |

  10. IF a^2 + b^2 +c^2 =1 then the range of ab+bc +ca is

    Text Solution

    |

  11. The difference between the roots of the equation x^(2) + kx + 1=0 is ...

    Text Solution

    |

  12. The real value of a for which x^2+i(a-1)x+5=0 will have a pair of con...

    Text Solution

    |

  13. If a, b, c are positive then both roots of the equation ax^2 + bx+c=0

    Text Solution

    |

  14. The expression a^2x^2+bx+1 will be positive for all x in R if

    Text Solution

    |

  15. If x ,y ,a n dz are real and different and u=x^2+4y^2+9z^2-6y z-3z x-2...

    Text Solution

    |

  16. The least value of ax^2+bx+c,(a>0) is

    Text Solution

    |

  17. If x be real, then the maximum value of 5+4x-4x^2 will be equal to

    Text Solution

    |

  18. If x^2+p x=1 is a factor of the expression a x^3+b x=c , then a^2-c^2=...

    Text Solution

    |

  19. If a+b+c=0, then, the equation 3ax^(2)+2bx+c=0 has , in the interval ...

    Text Solution

    |

  20. If the value of ax^2+bx+c is always an integer for integral values of ...

    Text Solution

    |