Home
Class 12
MATHS
If x^(2)-3 x+1=0, then (x^(14)+1)/(x^(7)...

If `x^(2)-3 x+1=0`, then `(x^(14)+1)/(x^(7))=`

A

1: 762

B

2: 792

C

3: 823

D

4:843

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|97 Videos
  • SETS,RELATIONS AND FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|285 Videos

Similar Questions

Explore conceptually related problems

If x^(2)+x+1=0 , then sum_(r=1)^(2005)(x^(r)+(1)/(x^(r)))^(3)=

If y = tan^(-1) ((1)/(1 + x + x^(2))) + tan^(-1) ((1) /(x^(2) + 2x + 3)) + tan^(-1) ((1)/(x^(2) + 5x + 7)) + ….n terms , then y(0) is

lim_(x rarr -1) (x^(9)+1)/(x^(14)-1)=

3 sin ^(-1)((2 x)/(1+x^(2)))-4 cos ^(-1)((1-x^(2))/(1+x^(2))) +2 tan ^(-1)((2 x)/(1-x^(2)))=(pi)/(3) ( then ) x=

If 2x^(2)+2y^(2) +4x+5y+1=0 and 3x^(2)+3y^(2)+6x -7y+3k=0 are orthogonal ,then value of k is

If x_(1),x_(2),x_(3),.,x_(n) are the roots of the equation x^(n)+ax+b=0 , the value of (x_(1)-x_(2))(x_(1)-x_(3))(x_(1)-x_(4))…….(x_(1)-x_(n)) is

Let x_(1), x_(2) be the roots of the equation x^(2)-3 x+p=0 and let x_(3), x_(4) be the roots of the equation x^(2)-12 x+q=0 . If the numbers x_(1), x_(2) x_(3), x_(4) (in order) form an increasing G.P. then,

The expression : (1)/(sqrt((3x + 1))) ( { ( (1 + sqrt(3x + 1))/(2) )^(7) - ( (1 - sqrt(3x + 1))/(2))^(7) } ) is a polynomial in x of degree is :

lim_(x rarr 0) ((sin^(-1)3x)^(3) . tan x)/((tan^(-1)x)^(2).x^(2)) =

HIMALAYA PUBLICATION-QUADRATIC EQUATIONS AND EXPRESSION-Question Bank
  1. If m and n are the roots of the quadratic equations x^(2)- 6x+ 2 =0 ...

    Text Solution

    |

  2. If alpha and beta are the roots of x^(2)+x+1=0, then alpha^(16)+beta^(...

    Text Solution

    |

  3. If x^(2)-3 x+1=0, then (x^(14)+1)/(x^(7))=

    Text Solution

    |

  4. If alpha, beta are the rots of a x^(2)+b x+c=0 and alpha+h, beta+h are...

    Text Solution

    |

  5. Let alpha, beta be the roots of x^(2)+a x+1=0. Then the equation whose...

    Text Solution

    |

  6. Let alpha, beta be the roots of x^(2)+x+1=0. The equation whose roots ...

    Text Solution

    |

  7. If alpha, beta are the roots of a x^(2)+b x+c=0 the equation whose roo...

    Text Solution

    |

  8. If alpha, beta are the roots of a x^(2)+b x+c=0 the equation whose roo...

    Text Solution

    |

  9. If alpha,beta are the roots of x^(2)-3 x+5=0 and gamma, delta are the...

    Text Solution

    |

  10. If alpha, beta are the roots of 2 x^(2)-x+7=0 then the equation whose ...

    Text Solution

    |

  11. If 2+i sqrt(3) is a root of the equation x^(2)+p x+q=0, where p, q are...

    Text Solution

    |

  12. If p,q,r , three positive real numbers are in A.P., then the roots of ...

    Text Solution

    |

  13. If 2 lies between the roots 'of x^(2)+(a+1) x-a-2=0 then a in

    Text Solution

    |

  14. If the roots of (a^(2)+b^(2)) x^(2)+2(a c+b d) x+(c^(2)+d^(2))=0 are e...

    Text Solution

    |

  15. If one root of x^(2)-x+3 a=0 is double the root of x^(2)-x+a=0 then no...

    Text Solution

    |

  16. If the equation ax^(2) + 2bx - 3c = 0 has non-real roots and ((3c)/(4)...

    Text Solution

    |

  17. If alpha, beta are the roots of 4 x^(2)-16 x+c=0, c >0 such that 1<alp...

    Text Solution

    |

  18. If a, b, c are real, c ge 0 and a x^(2)+b x+c=0 has no real roots, the...

    Text Solution

    |

  19. The value of p for which the sum of the squares of the roots of 2 x^(2...

    Text Solution

    |

  20. If alpha, beta are the roots of lambda(x^(2)+x)+x+5=0 and lambd...

    Text Solution

    |