Home
Class 12
MATHS
Form the equations whose roots are recip...

Form the equations whose roots are reciprocals of the roots of cubic equation.
`x^3+ax^2+bx+c=0`

Text Solution

Verified by Experts

The correct Answer is:
0
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    PREMIERS PUBLISHERS|Exercise Exercise 3.1|16 Videos

  • THEORY OF EQUATIONS

    PREMIERS PUBLISHERS|Exercise Exercise 3.2|5 Videos

  • PROBABILITY DISTRIBUTIONS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|40 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|30 Videos

Similar Questions

Explore conceptually related problems

The equation whose roots are the squares of the roots of the eqation 2x^(2)+3x+1=0 is

If the equation whose roots are the squares of the roots of the cubic x^3-a x^2+b x-1=0 is identical with the given cubic equation, then (a) a=0,b=3 b. a=b=0 c. a=b=3 d. a ,b , are roots of x^2+x+2=0

The quadratic equation whose roots are twice the roots of 2x^(2)-5x+2=0 is

If one root of the equation is the reciprocal of the other root in ax^(2) + bx + c = 0 then ……… .

Find the condition that the roots of cubic equation x^3+ax^2+bx+c=0 are in the ratio p : q : r .

The equations whose roots are numerically equal but opposite in sign to the roots of 3x^(2)-5x-7=0 is ............ .

Show that the product of the roots of a quadratic equation ax^(2)+bx+c=0 (a ne 0) is (c )/(a) .

The equation whose roots are numerically equal but opposite in sign to the roots of 3x^(2) - 5x - 7 = 0 is

PREMIERS PUBLISHERS-THEORY OF EQUATIONS-Problems for practice (Answer the following)
  1. Form the equations whose roots are reciprocals of the roots of cubic e...

    Text Solution

    |

  2. If alpha and beta are the roots of 2x^2-5x+3=0 form the equation who...

    Text Solution

    |

  3. If alpha and beta are the roots of 2x^2-5x+3=0 form the equation who...

    Text Solution

    |

  4. If alpha,beta,gamma are the roots of x^3-2x^2+3x-4=0 find the value o...

    Text Solution

    |

  5. If alpha,beta,gamma are the roots of x^3-2x^2+3x-4=0 find the value o...

    Text Solution

    |

  6. Solve the equation 3x^3-7x^2-7x+3=0 given that product of two of its ...

    Text Solution

    |

  7. Solve : x^3-15x^2+66x+80=0 given that the roots as in AP.

    Text Solution

    |

  8. Solve x^3+7x^2+14x+8=0 given that the roots are in GP.

    Text Solution

    |

  9. Solve : 3x^3-x^2+x+1=0 given the roots are in HP.

    Text Solution

    |

  10. Find the polynomial equation with integer coefficients with sqrt(sqr...

    Text Solution

    |

  11. Solve : 2x^3-3x^2-14x+5=0 given that 2-3i is a root

    Text Solution

    |

  12. Solve : x^3-x^2-4x-2=0 given that 1+sqrt3 is a root .

    Text Solution

    |

  13. Solve : x^6-6x^5+10x^4-9x^2+6x-2=0 given that (2+sqrt3) and (1+i) are ...

    Text Solution

    |

  14. Solve : x^6-6x^5+13x^4-12x^3+7x^2-6x-5=0 if (1+sqrt2) and (2+i) are r...

    Text Solution

    |

  15. Solve 2x^3-11x^2+10x-1=0

    Text Solution

    |

  16. Solve x^3-3x^2-9x-5

    Text Solution

    |

  17. Solve x^4-4x^2-5=0

    Text Solution

    |

  18. Solve 6x^6-35x^5+56x^4-56x^2+35x-6=0

    Text Solution

    |

  19. Solve 3x^4-10x^3+10x-3=0

    Text Solution

    |

  20. Show that 3x^9-10x^5+3x^4+2x^2+7=0 has at least 6 imaginary roots.

    Text Solution

    |

  21. Find the least no. of imaginary roots of 2x^9+3x^5-5x^4-9x^2+2

    Text Solution

    |