Home
Class 12
MATHS
Sum of roots is -1 and sum of their reci...

Sum of roots is -1 and sum of their reciprocals is `(1)/(6)`, then the equation is

A

`x ^(2) - x - 6 = 0`

B

`x ^(2) + x + 6 =0`

C

`x ^(2) - x + 6 =0`

D

`x ^(2) + x - 6 = 0`

Text Solution

Verified by Experts

The correct Answer is:
D
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 sum of two natural numbers is 9 and the sum of their reciprocals is (1)/(2). Find the numbers.

The sum of two numbers is 8 and the sum of their reciprocals is (8)/(15). Find the numbers.

The sum of two numbers is 15 and sum of their reciprocals is 5/18 , find the numbers.

The sum of two numbers is 20 and the sum of their reciprocals is (5)/(24) . Find the numbers.

sum of the number and their reciprocal is 4(1)/(4) then number

The sum of the roots of a quadratic equation is 2 and sum of their cubes is 98 ,then the equation is -

The sum of three numbers in HP is 37 and the sum of their reciprocals is (1)/(4) . Find the numbers.

The sum of three consecutive terms in H.P is 37 and the sum of their reciprocal is (1)/(4). Find the numbers.

If sum of roots is equal to sum of their reciprocals for the equation x^(2)-px+q=0,|q|!=1 , then the value of (p-q^2-1)/(q^2+1)

Divide 25 in two parts so that sum of their reciprocals is 1/6.

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

    |