Home
Class 12
MATHS
If the roots of ax^3 + bx^2 + cx +d=0...

If the roots of `ax^3 + bx^2 + cx +d=0` are in A.P then the roots of ` a ( x+k)^3 + b ( x + k)^2 + c ( x+k) + d=0` are in

A

A.P

B

G.P

C

H.P

D

none

Text Solution

Verified by Experts

The correct Answer is:
1
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^4 - 8x^3 + 14 x^2 + 8x - 15=0 are in A.P then the roots are

If the roots of x^4 -2x^3 - 21x^2 + 22 x + 40 =0 are in A.P then the roots are

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

If the roots of 32x^3 - 48 x^2 +22 x-3=0 are in A.P then the middle root is

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

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

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

If the root of kx^3 - 18x^2 - 36 x+8=0 are in H.P then k=

DIPTI PUBLICATION ( AP EAMET)-THEORY OF EQUATIONS-EXERCISE 1B
  1. If 2, -3 , 5 are the roots of ax^(3) + bx^(2) + cx + d = 0 then the ro...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. The transformed equation with integer co-effcients whose roots ...

    Text Solution

    |

  7. The transformed equation of x^(3) - 4x^(2) + (1)/(4)x - (1)/(9) = 0 , ...

    Text Solution

    |

  8. The transformed equation with integer coefficients and unity for the c...

    Text Solution

    |

  9. The transformed equation of x^(3) - (5)/(2) x^(2) - (7)/(18) x + (1)/(...

    Text Solution

    |

  10. The transformed equation of a^(4) b^(3) x^(4) + a^(3) b^(2) x^(3) + a^...

    Text Solution

    |

  11. The transformed equation of x^(3) - 6x^(2) + 5x + 8 = 0, by eliminatin...

    Text Solution

    |

  12. Each of the roots of the equation x^(3) - 6x^(2) + 6x - 5 = 0 are incr...

    Text Solution

    |

  13. The transformed equation of x^(4) + 8x^(3) + x - 5 = 0 by eliminating ...

    Text Solution

    |

  14. The transformed equation of x^(4) + 4x^(3) + 2x^(2) - 4x - 2 = 0, by e...

    Text Solution

    |

  15. The transformed equation of x^(5) + 5x^(4) + 3x^(3) + x^(2) + x -1 = 0...

    Text Solution

    |

  16. Number of transformed equations of x^3 +2x^2 +x+1=0 by eliminating...

    Text Solution

    |

  17. The transformed equation of x^(4) + 2x^(3) - 12x^(2) + 2x - 1= 0 by e...

    Text Solution

    |

  18. The equation whose roots are square of the roots of x^(3) - 2x^(2) - 2...

    Text Solution

    |

  19. The cubic equation whose roots are the squares of the roots of x^(3) -...

    Text Solution

    |

  20. The equation whose roots are square of the roots of x^(3) + x^(2) + x ...

    Text Solution

    |