Home
Class 12
MATHS
The equation whose roots are the art...

The equation whose roots are the arthmatic mean and twice the H.M between the roots of the equation `x^2 + ax -b=0` is

A

` 2ax^2 +(a^2-8b) x+ 4ab =0`

B

` 2ax^2 +(a^2 -8b)x-4ab =0`

C

` 2ax^2 +(a^2+8b ) x- 4ab =0`

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B (QUADRATIC EXPRESSIONS)|106 Videos
  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -1)|4 Videos
  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -4)|4 Videos
  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) Set-4|10 Videos
  • RELATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise|49 Videos

Similar Questions

Explore conceptually related problems

IF 3+i is a root of the equation x^2 + ax + b=0 then a=

The roots of the equation (b-c) x^2 +(c-a)x+(a-b)=0 are

The equation whose roots are , 0, 0, 2,2,-3,-3 is

The roots of the equation x^(2)+2ax+a^(2)+b^(2)=0 are

If the ratio of the roots of the equation ax^(2)+bx+c=0 is m: n then

The equation whose roots are the cubes of the roots of the equation ax ^2+bx +c=0 is

The roots of the equation ( a-b) x^2 +(b-c) x+ (c-a) =0 are

The equation whose roots are double the roots of the equation x^(2) + 6x + 3 = 0 is

The equation whose roots are cubes of the roots x^3 +2x^2 +3=0 is

The equation whose roots are 'K' times the roots of the equation ax^(2)+bx+c=0 is

DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. IF the arithmetic mean of the roots of a quadratic equation is...

    Text Solution

    |

  2. Let two numbers have arthmetic mean 9 geometric mean 4. then...

    Text Solution

    |

  3. The equation whose roots are the arthmatic mean and twice the ...

    Text Solution

    |

  4. IF alpha, beta are the roots of 9x^2+6x+1=0 then the equation ...

    Text Solution

    |

  5. The equation whose roots are greater by 1 than those of 2x ^2-3x ...

    Text Solution

    |

  6. IF alpha , beta are the roots of ax^2 + bx +c=0 then the equat...

    Text Solution

    |

  7. The equation whose roots are smaller by 1 then those of 2x ^2-5...

    Text Solution

    |

  8. the equation formed by decreasing each root of ax ^2 +bx+C=0 by...

    Text Solution

    |

  9. If alpha , beta are the roots of a ^2 x + bx +c=0 and alpha + ...

    Text Solution

    |

  10. IF alpha , beta are the roots of x^2+bx +c=0 and alpha + h, b...

    Text Solution

    |

  11. IF alpha and beta are the roots of the equation ax ^2+bx +C=...

    Text Solution

    |

  12. The equation whose roots are numerically equal but opposite in ...

    Text Solution

    |

  13. The equation whose roots are multipled by 3 of those of 2x ^2 ...

    Text Solution

    |

  14. The condition that one root of ax ^2+bx +c=0 may be n times th...

    Text Solution

    |

  15. The condition that one root of ax ^2 + bx +c=0 may be the dou...

    Text Solution

    |

  16. If one root of x^2+kx +12 =0 may be the triple the other , then...

    Text Solution

    |

  17. IF one root ofpx^2-14 x + 8 =0 is six times the other then p=

    Text Solution

    |

  18. IF the roots of ax^2+cx+c=0 are in the ratio p:q then sqrt([(p)/(q...

    Text Solution

    |

  19. IF one root of x^2-x-k=0 is square that of the other, then k=………

    Text Solution

    |

  20. If one root of x^2+px+1=0 is square that of the other thenp=

    Text Solution

    |