Home
Class 12
MATHS
If the ratio of the roots of a(x)^2+bx...

If the ratio of the roots of `a(x)^2+bx +c=0` is same as that of the roots of `px^2 +qx+r=0` then `a//p,b//q,c//r` are in

A

`A.P`

B

`G.P`

C

`H.P`

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 the ratio of the roots of x^(2) + bx + c = 0 is equal to the ratio of the roots of x^(2)+px+q=0 , then p^(2)c-b^(2)q=

The ratio of the roots of the equation ax ^2 + bx +c=0 is same as the ratio of the roots of the equation px^2 + qx +r=0 . If D_1 and D_2 are the discrimination of ax ^2 + bx + c=0 and px^2 +qx +r =0 respectively , then D_1 :D_2 =

IF the ratio of the roots of x^2+bx +c=0 and x^2 + qx+r=0 are the same , then

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=

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 the sum of the two roots of x^3 +px^2 +qx +r=0 is zero then pq=

If r is the ratio of the roots of ax ^2 + bx +C=0 then ((r +1)^2)/(r ) =

IF the difference of the roots of x^2-bx+c=0 is equal to the difference of the roots of x^2-cx +b=0 and b ne 0 , then b+c=

The condition that a root of ax^2+bx +c=0 may be the reciprocal of a root of a_1 x^2+b_1x +c_1=0 is

DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. If the roots of the equation ax^2+bx +c=0 be the square roots of...

    Text Solution

    |

  2. IF the ratio of the roots of x^2+bx +c=0 and x^2 + qx+r=0 are the...

    Text Solution

    |

  3. If the ratio of the roots of a(x)^2+bx +c=0 is same as that of the...

    Text Solution

    |

  4. The value of m for which one of the roots of x^2-3x+2m=0 is doub...

    Text Solution

    |

  5. IF the difference of the roots of x^2-bx+c=0 is equal to the dif...

    Text Solution

    |

  6. The condition that the roots of the equation ax^2+bx+c=0 may diffe...

    Text Solution

    |

  7. The condition that sin theta cos theta may be the roots o...

    Text Solution

    |

  8. If sin alpha and cos alpha are the roots of 25 x ^2 +5x-12=0, t...

    Text Solution

    |

  9. IF tan A and tan B are the roots of the quadratic x^2 -px+q=0...

    Text Solution

    |

  10. In a triangle PQR angle R=pi //2 if tan (p//2) and tan ( Q//2)...

    Text Solution

    |

  11. In a triangle PQR angle R=(pi)/(4), if tan (p/3) and tan ((Q)/...

    Text Solution

    |

  12. If one root of x^2+px +1=0 is the cube of the other root, then ...

    Text Solution

    |

  13. IF one root of ax ^2 +bx +c=0 is equal to nth power of the othe...

    Text Solution

    |

  14. IF x,a,b,c are real and (x-a+b^2)+(x-b+c)^2=0 then a,b,c are in

    Text Solution

    |

  15. IF the roots of (1) /(x +a) + (1)/(x +b)=(1)/(c ) are equal in ...

    Text Solution

    |

  16. IF the roots of the equation (1)/(x+p) +(1)/(x+q) =(1)/(r ) are ...

    Text Solution

    |

  17. IF (1)/(x) +(1)/(x+a) =(1)/(m)+(1)/(m+a) has roots equal in magnit...

    Text Solution

    |

  18. IF the roots of a^2x^2-abx +c=0 are consecutive integers , then ...

    Text Solution

    |

  19. If r is the ratio of the roots of ax ^2 + bx +C=0 then ((r +1)^2)...

    Text Solution

    |

  20. IF the roots of ax^2 +bx +c=0 are of the form (m+1)/(m ) ,(m+2)/...

    Text Solution

    |