Home
Class 10
MATHS
If one root of (a ^(2) – 5a + 3) x ^(2...

If one root of
`(a ^(2) – 5a + 3) x ^(2) + ( 3a -1) x + 2 =0`
is twice the other, then what is the value of ‘a’ ?

A

`2/3`

B

`-2/3`

C

`1/3`

D

`-1/3`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    OSWAL PUBLICATION|Exercise Very Short Answer Type Question |33 Videos
  • QUADRATIC EQUATIONS

    OSWAL PUBLICATION|Exercise Short Answer Type Question |27 Videos
  • QUADRATIC EQUATIONS

    OSWAL PUBLICATION|Exercise Case-Based MCQs|15 Videos
  • PROBABILITY

    OSWAL PUBLICATION|Exercise Self Assessment|66 Videos
  • REAL NUMBERS

    OSWAL PUBLICATION|Exercise Self-Assessment |11 Videos

Similar Questions

Explore conceptually related problems

If one roots of the equation x^(2) - mx + n = 0 is twice the other root, then show that 2m^(2) = 9pi .

If one root of the equation (k-1)x^(2) - 10x+ 3 = 0 is the reciprocal of the other, then the value of k is___________ .

If one root of the equation 2x ^(2) + 3x + c =0 is -5, then what is the value of c?

If one of the roots of the equation ax^(2) + x - 3=0 is -1.5 , then what is the value of a ?

If one root of the equation 3x^2-8x+2k+1=0 is seven times the other, find the two roots and the value of k

OSWAL PUBLICATION-QUADRATIC EQUATIONS-Multiple Choice Question
  1. If the root of the equation Ax^2 - Bx + C = 0 are -1 and 1, then which...

    Text Solution

    |

  2. If the roots of the equation (a^2 - bc)x^2 + 2(b^2 - ac)x + (c^2 - ab)...

    Text Solution

    |

  3. If one root of (a ^(2) – 5a + 3) x ^(2) + ( 3a -1) x + 2 =0 is tw...

    Text Solution

    |

  4. If 3 is a root of the equation kx^2 - kx - 3 = 0, then the value of k ...

    Text Solution

    |

  5. If the zeroes of the quadratic polynomial x^(2) +(a+1)x+b are 2 and -3...

    Text Solution

    |

  6. Solve sqrt(2x+9)+x=13.

    Text Solution

    |

  7. The nature of roots of the equation 2x^2 + sqrt(5x) - 1= 0 is ...........

    Text Solution

    |

  8. Solve the equation 2x^2-5x+3=0 by the method of completing square.

    Text Solution

    |

  9. Which of the following is not a quadratic equation?

    Text Solution

    |

  10. Which of the following equations has 2 as a root?

    Text Solution

    |

  11. If 1/2 is a root of the equation x^2 + kr -5/4=0, then the value of k...

    Text Solution

    |

  12. Which one of the following is a quadratic equation?

    Text Solution

    |

  13. Which of the following is a solution of quadratic equation x^2 - b^2 ...

    Text Solution

    |

  14. The roots of the quadratic equation x^2- 3x - m(m + 3) = 0, where m is...

    Text Solution

    |

  15. The quadratic equation 2y^2 - sqrt3y +1 = 0 has

    Text Solution

    |

  16. Which one of the following equations has no real roots?

    Text Solution

    |

  17. If the equation x^2 + 4x + k = 0 has real and distinct roots, then

    Text Solution

    |

  18. The quadratic equation 49x^2 + 21x +9/4 = 0 has

    Text Solution

    |

  19. The general form of a quadratic equation is :

    Text Solution

    |

  20. The number of possible solutions of a quadratic equation are :

    Text Solution

    |