Home
Class 12
MATHS
Find the value of a for which one root o...

Find the value of `a` for which one root of the quadratic equation `(a^2-5a+3)x^2+(3a-1)x+2=0` is twice as large as the other.

A

`-2//3`

B

`1//3`

C

`-1//3`

D

`2//3`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Solved Examples (Level 2 (Straight Objective Type Questions))|21 Videos

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Solved Examples (Numerical Answer Type Questions)|18 Videos

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos

  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEAR.S B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|19 Videos

Similar Questions

Explore conceptually related problems

The value of a for which one root of the quadratic equation (a^(2)-5a+3)x^(2)-(3a-1)x+2=0 is twice as large as other is

The value of a for which one root of the quadratic equation (a^2-5a+3)x^2+(3a-1)x+2=0 is twice the other is (A) -1/3 (B) 2/3 (C) 2/3 (D) 1/3

Find the value of k, for which one root of the quadratic equation kx^(2)--14x+8=0 is 2.

one root of quadratic equation 14x^(2)-x-3=0

Possible values of a for which one root of the equation (a^2-5a+3)x^2+(2a-3)x+2=0 is twice the other

Find the roots of the quadratic equation (3x-5)(x+3)=0 .

Find the values of the parameter a for which the roots of the quadratic equation x^(2)+2(a-1)x+a+5=0 are equal

MCGROW HILL PUBLICATION-QUADRATIC EQUATIONS-Solved Examples (Level 1 ( Single Correct Answer Type Questions)
  1. The number of solutions of sqrt(4 - x) + sqrt(x + 9) = 5" " (1) i...

    Text Solution

    |

  2. Suppose a in R and alpha, beta are roots of x^(2) +4 ax + 5 a^(2) - 6a...

    Text Solution

    |

  3. Find the value of a for which one root of the quadratic equation (a^2-...

    Text Solution

    |

  4. The range of the function f(x)=(x^2+x+2)/(x^2+x+1),x in R , is (1,oo)...

    Text Solution

    |

  5. If f(x)=x^(2)+2bx+2c^(2)and g(x)=-x^(2)-2cx+b^(2), such that minf(x)gt...

    Text Solution

    |

  6. If a,b are roots of the equation x^2 + qx + 1 = 0 and c,d are roots of...

    Text Solution

    |

  7. Solve for x: 4^(x) - 3^(x-1/2)=3^(x+1/2)-2^(2x-1).

    Text Solution

    |

  8. If x^2+2ax+10-3a gt0 for all x in R then

    Text Solution

    |

  9. The number of solutions of sqrt(x +1) - sqrt(x - 1) = 1" " (x in ...

    Text Solution

    |

  10. If a, b, c are real and a!=b, then the roots ofthe equation, 2(a-b)x^2...

    Text Solution

    |

  11. Let a gt 0, b gt 0 and c lt0. Then, both the roots of the equation ax^...

    Text Solution

    |

  12. both roots of the equation (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 are

    Text Solution

    |

  13. If the roots of the equation (4a - a^(2) - 5) x^(2)- (2a - 1) x + 3a =...

    Text Solution

    |

  14. Let alpha,beta be the roots of the equation ax^2+bx+c=0. A root of the...

    Text Solution

    |

  15. 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

    |

  16. If the product of the roots of the equation x^(2) - 5 kx + 2e^(4"Ink")...

    Text Solution

    |

  17. alpha,beta be the roots of the equation x^2-px+r=0 and alpha/2 , 2beta...

    Text Solution

    |

  18. Sum of all the values of x satisfying the equation log(17) log(11) (...

    Text Solution

    |

  19. If 1/ sqrt(alpha) and 1/sqrt(beta) are the roots of equation a x^2 + ...

    Text Solution

    |

  20. If p and q are the roots of x^2 + px + q = 0, then find p.

    Text Solution

    |