Home
Class 12
MATHS
All roots of equation x ^(5) -40 x ^(4) ...

All roots of equation `x ^(5) -40 x ^(4) + alphax ^(3) + beta x ^(2) + gamma x + delta =0` are in G.P. if the sum of their reciprocals is 10, then `delta` can be equal to :

A

32

B

`-32`

C

`1/32`

D

`-1/32`

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    VK JAISWAL|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|17 Videos

  • SEQUENCE AND SERIES

    VK JAISWAL|Exercise EXERCISE (MATCHING TYPE PROBLEMS)|6 Videos

  • SEQUENCE AND SERIES

    VK JAISWAL|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|21 Videos

  • QUADRATIC EQUATIONS

    VK JAISWAL|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|45 Videos

  • SOLUTION OF TRIANGLES

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|13 Videos

Similar Questions

Explore conceptually related problems

If the roots of x^(5) - 40 x^(4) + Px^(3) + Qx^(2) + Rx + S = 0 are in G.P. and sum of their reciprocals is 10, then |S| is equal to

The roots of the equation x^(5)-40x^(4)+ax^3+bx^2+cx+d=0 are in G.P. If sum of reciprocals of the roots is 10, then

If roots of the equation (x-1)(x-2)-k=0(k!=0) be alphq and beta, and gamma and delta be the roots of the equation (x-alpha)(x-beta)+k=0, then

Let alpha and beta be roots of the equation X^(2)-2x+A=0 and let gamma and delta be the roots of the equation X^(2)-18x+B=0 . If alpha lt beta lt gamma lt delta are in arithmetic progression then find the valus of A and B.

x^(3)-x^(2)+beta x+gamma=0 where beta and gamma are real If the roots of the equation are in A.P then the mean than the mean root is

If alpha, beta are the roots of the quadratic equation x ^(2)+ px+q=0 and gamma, delta are the roots of x ^(2)+px-r =0 then (alpha- gamma ) (alpha -delta ) is equal to :

If alpha, beta are the roots of the equation x^(2)-2x-a^(2)+1=0 and gamma, delta are the roots of the equation x^(2)-2(a+1)x+a(a-1)=0 such that alpha, beta epsilonn (gamma, delta) find the value of a .

VK JAISWAL-SEQUENCE AND SERIES -EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)
  1. If the first and (2n-1)^(th) terms of an A.P, a G.P and an H.P of posi...

    Text Solution

    |

  2. If a, b, c are distinct positive real numbers such that the quadratic ...

    Text Solution

    |

  3. If a,b,c are in H.P, where a gt c gt 0, then :

    Text Solution

    |

  4. In an A.P. let T(r) denote r ^(th) term from beginning, T(p) - (1)/(q ...

    Text Solution

    |

  5. Which of the following statement (s) is (are) correct ?

    Text Solution

    |

  6. If a,b,c are in 3 distinct numbers in H.P. a,b,c gt 0, then :

    Text Solution

    |

  7. All roots of equation x ^(5) -40 x ^(4) + alphax ^(3) + beta x ^(2) + ...

    Text Solution

    |

  8. Let a (1), a(2), a(3)……. be a sequence of non-zero rela numbers with a...

    Text Solution

    |

  9. Given a,b,c are in A.P. b,c,d are in G.P. and c,d,e are in H.P. if a =...

    Text Solution

    |

  10. The number a, b, c in that order form a term A.P and a + b + c = 60. T...

    Text Solution

    |

  11. If (x ^(2) +x+1) + (x^(2) + 2x +3) + (x^(2) + 3x +5) + ….. + (x ^(2) +...

    Text Solution

    |

  12. For Delta ABC, if 81 + 144 a ^(4) + 16b ^(4) + 9c ^(4) =144 abc, (whe...

    Text Solution

    |

  13. Let x,y,z in (0, (pi)/(2)) are first three consecutive terms of an ari...

    Text Solution

    |

  14. If the number 16, 20, 16, d form a A.G.P. then d can be equal to :

    Text Solution

    |

  15. Given then which of the following true

    Text Solution

    |

  16. If S(r) = sqrt(r+ sqrt(r+sqrt(r+sqrt(......oo)))) , r gt 0 then which...

    Text Solution

    |

  17. Consider the A.P. 50,48,46,44 ……. If S (n) denotes the sum to n terms ...

    Text Solution

    |

  18. Let S(n)be the sum to n terms of the series (2)/(1 ^(2)) + (5)/(1 ^(2)...

    Text Solution

    |

  19. For Delta ABC, if 81 + 144 a ^(4) + 16b ^(4) + 9c ^(4) =144 abc, (whe...

    Text Solution

    |