Home
Class 11
MATHS
If x^2+x+1=0 then the value of (x+1/x)^2...

If `x^2+x+1=0` then the value of `(x+1/x)^2+(x^2+1/(x^2))^2+...+(x^27+1/(x^27))^2` is

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise All Questions|363 Videos
  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|1167 Videos

Similar Questions

Explore conceptually related problems

If (x+2)^3-27=0 then a value of x is

If 2x + 1/x = 2, then find the value of (x)/(2x^2+x+1) .

If x gt 0 , then the value of sin{tan^-1((1-x^2)/(2x))+cos^-1((1-x^2)/(1+x^2))} is equal to

The value of lim_(x to 0)(1+3x)^((x+2)/(x)) is -

If x in [-1,0], then find the value of cos^(-1)(2x^2-1)-2sin^(-1)x

If x-1/x=0 the value x^2+1/x^2 will be

If y=(1)/(1+x+x^(2)+x^(3)) , then the value of (d^(2)y)/(dx^(2)) at x=0 is -

If y=1/(1+x+x^2+x^3) , then value of (d^2y)/(dx^2) at x=0 is

If x in (0, 1) , then find the value of tan^(-1) ((1 -x^(2))/(2x)) + cos^(-1) ((1 -x^(2))/(1 + x^(2)))

CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Consider two complex numbers alpha and beta as alpha=[(a+b i)//(a-b i)...

    Text Solution

    |

  2. In how many points the graph of f(x)=x^3+2x^2+3x+4 meets the x-axis ...

    Text Solution

    |

  3. If x^2+x+1=0 then the value of (x+1/x)^2+(x^2+1/(x^2))^2+...+(x^27+1/(...

    Text Solution

    |

  4. If (a+ib)(c+id)(e+if)(g+ih)=A+iB, then show that (a^2+b^2)(c^2+d^2)(e^...

    Text Solution

    |

  5. Find the roots of the equation x+1/x=3

    Text Solution

    |

  6. Solve the equation |z|=z+1+2idot

    Text Solution

    |

  7. If z=i^(i^(i)) where i=sqrt-1 then find the value of |z|

    Text Solution

    |

  8. Find the values of a for which the roots of the equation x^2+a^2=8x+6...

    Text Solution

    |

  9. If alpha and beta are different complex numbers with absbeta=1. then f...

    Text Solution

    |

  10. If z=i log(2-sqrt3), then cosz= a. -1 b. (-1)/2 c. ...

    Text Solution

    |

  11. If f(x)=x^3-x^2+a x+b is divisible by x^2-x , then find the value of...

    Text Solution

    |

  12. z=x+iy and w=(1-iz)/(1+iz) and |w|=1 ,prove that z is purely real

    Text Solution

    |

  13. If the equation z^4+a1z^3+a2z^2+a3z+a4=0 where a1,a2,a3,a4 are real co...

    Text Solution

    |

  14. If f(x)=x^3-3x^2+2x+a is divisible by x-1, then find the remainder whe...

    Text Solution

    |

  15. If z1a n dz2 are two complex numbers and c >0 , then prove that |z1+z2...

    Text Solution

    |

  16. Suppose A is a complex number and n in N , such that A^n=(A+1)^n=1, t...

    Text Solution

    |

  17. Find the value of p for which x+1 is a factor of x^4+(p-3)x^3-(3p-5)x^...

    Text Solution

    |

  18. If z1, z2, z3 be the affixes of the vertices A, B and C of a triangle...

    Text Solution

    |

  19. The number of complex numbers z such that |z|=1 and |z/ barz + barz/z...

    Text Solution

    |

  20. Given that x^2-3x+1=0, then the value of the expression y=x^9+x^7+x^(-...

    Text Solution

    |