Home
Class 12
MATHS
If the roots of ax^(3) + bx^(2) +cx + d ...

If the roots of `ax^(3) + bx^(2) +cx + d = 0 ` are in G.P. then the roots of `ak^(3) x^(3) + bk^(2) x^(2) + ckx + d = 0` are in

A

A.P

B

G.P

C

H.P

D

none

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET -1|5 Videos

  • THEORY OF EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET -2|4 Videos

  • THEORY OF EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A|165 Videos

  • THEORETICAL DISTRIBUTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVES 1.2.3 OR 4 GIVEN (SET -4)|5 Videos

  • TRANSFORMATION OF AXES

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET-4|3 Videos

Similar Questions

Explore conceptually related problems

If the roots of x^(3) - kx^(2) + 14x - 8 = 0 are in G.P. then k =

If the roots of 2x^(3) - 3x^(2) - 11x + 6 = 0 are in A.P. then the roots are

If the roots of x^(3) - 14x^(2) + 56x + k = 0 are in G.P. then k =

If the roots of 3x^(3) - 26x^(2) + 52x - 24 = 0 are in G.P. then roots are

If the roots of 3x^(3) - 22x^(2) + 48x -32 = 0 are in H.P. then the roots are

If the roots of ax^(3) + bx^(2) + cx +d = 0 are in G.P then the roots of dx^(3) - cx^(2) + bx - a = 0 are in

If the roots of ax^3 + bx^2 + cx +d=0 are in G.P then the roots of ak^3 x^3 +bk^2 x^2 + ck x+d=0 are in

If the roots of ax^(3) + bx^(2) + cx +d = 0 are in H.P then the roots of dx^(3) - cx^(2) + bx - a = 0 are in

If the roots of ax^(3) + bx^(2) + cx +d = 0 are in A.P then the roots of dx^(3) + cx^(2) + bx + a = 0 are in

DIPTI PUBLICATION ( AP EAMET)-THEORY OF EQUATIONS-EXERCISE 1B
  1. If 2, - 2, 4 are the roots of ax^(3) + bx^(2) + cx + d = 0 then the ...

    Text Solution

    |

  2. If 1, -2, 3 are the roots of ax^(3) + bx^(2) + cx + d = 0 then the roo...

    Text Solution

    |

  3. If the roots of ax^(3) + bx^(2) +cx + d = 0 are in G.P. then the root...

    Text Solution

    |

  4. The equation whose roots are reciprocals of the roots of 6x^(6) - 25x^...

    Text Solution

    |

  5. Let alpha ne 1 be a real root of the equation x^(3) - ax^(2) + ax - 1 ...

    Text Solution

    |

  6. If 3/4, -5/2, 1/2 , -3 are the roots of ax^(4) + bx^(3) + cx^(2) + dx ...

    Text Solution

    |

  7. If the roots of ax^(3) + bx^(2) + cx +d = 0 are in A.P then the roots ...

    Text Solution

    |

  8. If the roots of ax^(3) + bx^(2) + cx +d = 0 are in H.P then the roots ...

    Text Solution

    |

  9. If the roots of ax^(3) + bx^(2) + cx +d = 0 are in G.P then the roots ...

    Text Solution

    |

  10. The equation whose roots are exceed by 1 then those of x^(3) - 5x^(2) ...

    Text Solution

    |

  11. The equation whose roots are exceed by 2 then those x^(4) + x^(3) - 10...

    Text Solution

    |

  12. The equation whose roots are exceed by 1 then those of x^(5) + 5x^(4) ...

    Text Solution

    |

  13. The equation whose roots are diminish by 1 than those of x^(3) + 2x^(2...

    Text Solution

    |

  14. The equation whose roots are diminish by 3 then those of x^(4) - 5x^(3...

    Text Solution

    |

  15. The equation whose roots are diminish by 3 then those x^(5) - 4x^(4) +...

    Text Solution

    |

  16. If 2, -3 , 5 are the roots of ax^(3) + bx^(2) + cx + d = 0 then the ro...

    Text Solution

    |

  17. If pm 2, pm 3 are the roots of ax^(4) + bx^(3) + cx^(2) + dx + e = 0...

    Text Solution

    |

  18. If the roots of ax^3 + bx^2 + cx +d=0 are in A.P then the roots...

    Text Solution

    |

  19. Form the equation whose roots are m times the roots of the equation x^...

    Text Solution

    |

  20. The transformed equation with integer coeficients whose roots are mul...

    Text Solution

    |