Home
Class 12
MATHS
If alpha , beta are the roots of a ^...

If ` alpha , beta ` are the roots of `a ^2 x + bx +c=0` and ` alpha + h+ beta + h ` are the roots of `px^2+qx +r=0` then h=

A

`(b/a-q/p)`

B

`1/2(b/a-q/p)`

C

`-1/2(a/b-p/q)`

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 alpha , beta are the roots of ax ^2 + bx +c=0 then alpha ^5 beta ^8 + alpha beta ^5=

IF alpha , beta are the roots of ax ^(2) +bx + c =0 then alpha ^2 + beta ^2=

IF alpha , beta are the roots of x^2+bx +c=0 and alpha + h, beta +h are the roots of x^2+qx +r=0 then h=

If alpha , beta are the roots of ax^2 + bx + c=0 then alpha beta ^(2) + alpha ^2 beta + alpha beta =

IF alpha , beta are the roots of ax ^2 +bx +c=0 then (1)/(alpha ^2) +(1)/(beta^2)=

IF alpha , beta are the roots of ax ^2 + bx +c=0 then (alpha ^2)/( beta ) +( beta ^2)/( alpha )

If alpha , beta are the roots of ax^2+bx +c=0 then (1+ alpha + alpha ^2)(1+ beta + beta ^2) is

IF alpha , beta are the roots of ax ^2+bx + c=0 and gamma , delta are the roots of lx ^2 +mx +n =0 then the equation whose roots are alpha gamma + beta delta , alpha delta + beta gamma is

DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. The equation whose roots are smaller by 1 then those of 2x ^2-5...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. IF the harmonic mean between the roots of (5 + sqrt(2))x^2-bx +...

    Text Solution

    |

  16. IF the harmonic mean of the roots of sqrt(2) x^2-bx +(8-2sqrt(5))=...

    Text Solution

    |

  17. The condition that a root of ax^2+bx +c=0 may be the reciprocal ...

    Text Solution

    |

  18. IF the sum of the roots of the quadratic equation ax ^2 + bx ...

    Text Solution

    |

  19. IF the sum of the roots of the equation x^2+px +q=0 is 3 times ...

    Text Solution

    |

  20. If the roots of the equation ax^2+bx +c=0 be the square roots of...

    Text Solution

    |