Home
Class 12
MATHS
If one root of (a^(2)-5 a+3) x^(2)+(3 a-...

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

A

`(2)/(3)`

B

`-(2)/(3)`

C

`(1)/(3)`

D

`-(1)/(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

If one zero of the polynomial p(x) = x^(2) - 6x + k is twice the other then find the value of k .

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

If one root of the polynomial p(x) =x^2-6x+k is twice the other then find the value of k.

If one root of the equations x^(2) + px +q=0 is 3 times the other , prove that 3p^(2) = 16q.

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 of the roots of the equations x^(2) - 5x=0 is zero then the other roots is :

If one root of the equation 5 x^(2)+13 x+k=0 is reciprocal of other, then the value of k is

If one root of the equation x^(2) + px + q = 0 is square of the other root, then :

The condition that the slope of one the lines of a x^(2)+2 h x y+b y^(2)=0 is twice the other is

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

HIMALAYA PUBLICATION-QUADRATIC EQUATIONS AND EXPRESSION-Question Bank
  1. If alpha, beta are the roots of lambda(x^(2)+x)+x+5=0 and lambd...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. If one root of the equation 5 x^(2)+13 x+k=0 is reciprocal of other, t...

    Text Solution

    |

  15. Let f(x)=a x^(2)+b x+c, a, b, in R, a neq 0 satisfying f(1)+f(2)=0 . T...

    Text Solution

    |

  16. If the roots of a x^(2)+b x+c=0(a ge 0) be each greater than unity, th...

    Text Solution

    |

  17. If a in Z and the equation (x-3)(x-a)+1=0 has integral roots, then the...

    Text Solution

    |

  18. If the equations x^(2)+b^(2)=1-2b x and x^(2)+a^(2)=1-2 a x have one a...

    Text Solution

    |

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

    Text Solution

    |

  20. 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

    |