Home
Class 12
MATHS
If one root of x^(2)-x+3 a=0 is double t...

If one root of `x^(2)-x+3 a=0` is double the root of `x^(2)-x+a=0` then non-zero value of ' a ' is

A

1)1

B

2)-1

C

3)-2

D

4)-3

Text Solution

Verified by Experts

The correct Answer is:
C
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

Find the roots of x^2-7x+12=0

If one root of x^(2)-x-k=0 is square of the other, then k=

Find the roots of x^2+7x+12=0

If the discriminant of 3x^(2)+2x+a=0 is double the discriminant of x^(2)-4x+2= 0 , find 'a' ?

If a,b are the roots of x^(3)-5x^(2)-x+5=0 b is a root of

If one root of (a^(2)-5 a+3) x^(2)+(3 a-1) x+2=0 is twice the other then a=

If 2 lies between the roots 'of x^(2)+(a+1) x-a-2=0 then a in

If one root of the equation (a-b) x^(2)+a x+1=0 is double the other and if a is real, then the greatest value of b is

If one root of x^(2)+ax+4=0 is twice the other root, then the value of 'a' is

If the difference of the roots of x^(2)-lamdax+8=0 be 2 the value of lamda is

HIMALAYA PUBLICATION-QUADRATIC EQUATIONS AND EXPRESSION-Question Bank
  1. If 2 lies between the roots 'of x^(2)+(a+1) x-a-2=0 then a in

    Text Solution

    |

  2. If the roots of (a^(2)+b^(2)) x^(2)+2(a c+b d) x+(c^(2)+d^(2))=0 are e...

    Text Solution

    |

  3. If one root of x^(2)-x+3 a=0 is double the root of x^(2)-x+a=0 then no...

    Text Solution

    |

  4. If the equation ax^(2) + 2bx - 3c = 0 has non-real roots and ((3c)/(4)...

    Text Solution

    |

  5. If alpha, beta are the roots of 4 x^(2)-16 x+c=0, c >0 such that 1<alp...

    Text Solution

    |

  6. If a, b, c are real, c ge 0 and a x^(2)+b x+c=0 has no real roots, the...

    Text Solution

    |

  7. The value of p for which the sum of the squares of the roots of 2 x^(2...

    Text Solution

    |

  8. If alpha, beta are the roots of lambda(x^(2)+x)+x+5=0 and lambd...

    Text Solution

    |

  9. If the roots of the equation x^(2)-b x+c=0 be two eanseeutive integers...

    Text Solution

    |

  10. If one root of (a^(2)-5 a+3) x^(2)+(3 a-1) x+2=0 is twice the other th...

    Text Solution

    |

  11. The equation (cos beta-1) x^(2)+(cos beta) x+sin beta=0 in the variabl...

    Text Solution

    |

  12. Let alpha, beta the roots of the equation (x - a) (x - b) = c , c ne...

    Text Solution

    |

  13. If a le b le c le d then the equation (x-a)(x-c)+2(x-b)(x-d)=0 has

    Text Solution

    |

  14. Both the roots of the equation : (x - b) (x -c) + (x - c) (x - a) +...

    Text Solution

    |

  15. If one root of the equation (a-b) x^(2)+a x+1=0 is double the other an...

    Text Solution

    |

  16. If alpha,beta be the roots of x^(2)+x+2=0 and gamma, delta be the root...

    Text Solution

    |

  17. The expression a (x^(2)-y^(2))-b x y admits two linear factors for

    Text Solution

    |

  18. If one root of x^(2)-x-k=0 is square of the other, then k=

    Text Solution

    |

  19. The value of p for which the difference between the roots of the equat...

    Text Solution

    |

  20. If one root of the equation ax^(2) + bx + c =0 is reciprocal of the o...

    Text Solution

    |