Home
Class 12
MATHS
The condition that one root of px^(2)+qx...

The condition that one root of `px^(2)+qx+r=0` may be double of the other is

A

`q ^(2) = 9 rp`

B

`2q ^(2) = 9 rp`

C

`q ^(2) = rp`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    ARIHANT PUBLICATION BIHAR|Exercise EXAM BOOSTER (FOR CRACKING EXAM)|25 Videos
  • NUMBER SYSTEM

    ARIHANT PUBLICATION BIHAR|Exercise EXAM BOOSTER (FOR CRACKING EXAM)|25 Videos
  • RATIONAL EXPRESSIONS

    ARIHANT PUBLICATION BIHAR|Exercise EXAM BOOSTER (FOR CRACKING EXAM)|22 Videos

Similar Questions

Explore conceptually related problems

The condition that one root of ax^(3)+bx^(2)+cx+d=0 may be the sum of the other two is 4abc=

The condition that the roots of x^(3)px^(2)+qx-r=0 may be in G.P. is

The condition that the roots of x^(3)+3px^(2)+3qx+r=0 may be in G.P. is

The condition that the roots of x^(3)+3px^(2)+3qx+r=0 may be in H.P. is

if one root of x^2+px+1=0 is square of the other, then p=

find the condition that px^(3) + qx^(2) +rx +s=0 has exactly one real roots, where p ,q ,r,s,in R

If the roots of the equation ax^(2) + bx + c= 0 is 1/k times the roots of px^(2) + qx + r = 0 , then which of the following is true ?

ARIHANT PUBLICATION BIHAR-QUADRATIC EQUATIONS -EXAM BOOSTER (FOR CRACKING EXAM)
  1. The quadratic equation ,whose roots are (4+sqrt(7))/(2)and(4-sqrt(7))/...

    Text Solution

    |

  2. If alphaandbeta are roots of the equation x^(2)-8x+p=0andalpha^(2)+bet...

    Text Solution

    |

  3. If alphaandbeta are roots of the equation x^(2)-5x+6=0, then the value...

    Text Solution

    |

  4. If alphaandbeta are the roots of the equation ax^(2)+bx+c=0 , then an ...

    Text Solution

    |

  5. If alphaandbeta are the roots of a quadratic equation such that alpha+...

    Text Solution

    |

  6. The two consecutive positive odd integers ,the sum of whose squares is...

    Text Solution

    |

  7. The side (in cm) of a right triangle are x - 1, x and x + 1. The area ...

    Text Solution

    |

  8. Divide 16 into two parts such that twice the square of the larger part...

    Text Solution

    |

  9. Is the equation |x - 3| = 2 equivalent to the quadratic equation x ^(2...

    Text Solution

    |

  10. The roots of the equation x^(2)+px+q=0 are 1 and 2 .The roots of the e...

    Text Solution

    |

  11. If the roots of the quadratic equation px^(2)+qx+r=0 are reciprocal to...

    Text Solution

    |

  12. Sum of roots is -1 and sum of their reciprocals is (1)/(6), then the e...

    Text Solution

    |

  13. The value of x for which 2^(x+4)-2^(x+2)=3 is

    Text Solution

    |

  14. For what value of k will the equation (x^(2)-bx)/(ax-c)=(k-1)/(k+1) ha...

    Text Solution

    |

  15. If alpha and beta be the zeros of the polynomial ax^2 + bx + c, then t...

    Text Solution

    |

  16. The condition that one root of px^(2)+qx+r=0 may be double of the othe...

    Text Solution

    |

  17. If alphaandbeta are the roots of 2x^(2)-6x+3=0 , then the value of ((a...

    Text Solution

    |

  18. Find the solution of the equation sqrt[x^2-16]-(x-4)=sqrt[x^2-5x+4]

    Text Solution

    |

  19. In a group of children ,each child gives a gift to every other child ,...

    Text Solution

    |

  20. Out of a number of Saras birds, one-fourth the number are moving about...

    Text Solution

    |