Home
Class 12
MATHS
If the roots of the equation x^(3) - 7x^...

If the roots of the equation `x^(3) - 7x^(2) + 14x - 8 = 0 `
are in geometric progression, then the difference between the largest and the smallest roots is

A

4

B

2

C

`(1)/(2)`

D

3

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • AP EAMCET ENGINEERING ENTRANCE EXAM ONLINE QUESTION PAPER 2019 (SOLVED)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos
  • AP EAMCET SOLVED PAPER 2018 ( 23-04-2019,SHIFT -1)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise Mathematics|39 Videos

Similar Questions

Explore conceptually related problems

If the roots of the equation x^3 +3px^2 + 3qx -8=0 are in a geometric progression , then (q^3)/( p^3) =

The roots of the equation x^3 -14 x^2 + 56 x -64 =0 are in

The sum of the roots of the equation 3x^(2) - 7x + 11 = 0

If the roots of the equation 4x^(3)-12x^(2)+11x+k=0 are in arithmetic progression, then k is equal to

The roots of the equation x^(3) - 14x^(2) + 56x- 64 = 0 are in …… progression

If the roots of the equation 4x^3 -12x^2 +11x +k=0 are in arithmetic progression then k=

The condition that the roots of x^(3) -bx^(2) + cx - d = 0 are in geometric progression is:

TS EAMCET PREVIOUS YEAR PAPERS-AP EAMCET ENGINEERING ENTRANCE EXAM QUESTION PAPER 2017 (SOLVED)-Mathematics
  1. For the function f(x) = (x-1) (x-2) difined on [0,(1)/(2)], the valu...

    Text Solution

    |

  2. A container is the shape of an inverted cone. Its height is 6m and rad...

    Text Solution

    |

  3. If the roots of the equation x^(3) - 7x^(2) + 14x - 8 = 0 are in ...

    Text Solution

    |

  4. If the mean and variance of a binomial variate X are (4)/(3),(8)/(9) ...

    Text Solution

    |

  5. If alpha is a non-real root of x^(7) = 1 then alpha (1 + alpha)(1 +...

    Text Solution

    |

  6. If cot (cos^(-1) x) = sec {tan^(-1) ((a)/(sqrt(b^(2)-a^(2))))}:bgt a,...

    Text Solution

    |

  7. In Delta ABC, L, M, N are points on BC, CA, AB respectively , dividi...

    Text Solution

    |

  8. The point to which the orgine is to be shifted to remove the first d...

    Text Solution

    |

  9. If alpha , beta, gamma are the lengths of the tangents from the ver...

    Text Solution

    |

  10. If int(0)^(10)f (x) dx = 5 "then" underset(k=1)overset(10)sumint(0)^(1...

    Text Solution

    |

  11. The angle between the tangents drawn from the point (1,2) to the ellip...

    Text Solution

    |

  12. If lx+ my = 1 is a normal to the hyperbola (x^(2))/(a^(2)) - (y^(...

    Text Solution

    |

  13. int(x^(e-1)+e^(x-1))/(x^(e)+e^(x))dx=

    Text Solution

    |

  14. If Delta =|{:(" "1,cos theta,1),(-cos theta," "1,cos theta),(-1,-costh...

    Text Solution

    |

  15. The equation of the circle whose diameter is the common chord of the...

    Text Solution

    |

  16. (x - 1)/(3x +4) lt(x - 3)/(3x-2) holds. for all x in the interval

    Text Solution

    |

  17. There are 10 intermediate stations on a railway line between two parti...

    Text Solution

    |

  18. The figure formed by the pairs of lines 6x^(2) + 13xy + 6y^(2) = 0 an...

    Text Solution

    |

  19. If the point of intersection of the tangents drawn at the points where...

    Text Solution

    |

  20. If a, b and c are non-zero vectors such that a and b not perpendicular...

    Text Solution

    |