Home
Class 11
MATHS
Consider the given equation 11 z^10 + 10...

Consider the given equation `11 z^10 + 10 i z^9 + 10 i z - 11 =0`, then |z| 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

Solve the equation z^3= z (z!=0)dot

Consider the equation az+b bar(z)+c=0" ""where" " "a,b,cin Z If |a|!=|b|, then z represents

The number of solutions of the equation x + y + z = 10 in positive integers x , y , z, is equal to -

If (1+i)^2 /(3 - i) =Z , then Re(z) =

If one root of the equation z^2-a z+a-1= 0 is (1+i), where a is a complex number then find the root.

Prove that the equation Z^3+i Z-1=0 has no real roots.

The common roots of the equations z^3+2z^2+2z+1=0 and z^1985+z^100+1=0 are

Consider the equation az+b bar(z)+c=0" ""where" " "a,b,cin Z If |a|=|b| and bar(ac)!=bar(bc), then z has

Consider the region R in the Argand plane described by the complex number. Z satisfying the inequalities |Z-2| le |Z-4| , |Z-3| le |Z+3| , |Z-i| le |Z-3i| , |Z+i| le |Z+3i| Answer the followin questions : The maximum value of |Z| for any Z in R is

Dividing f(z) by z- i , we obtain the remainder i and dividing it by z + i , we get the remainder 1 + i, then remainder upon the division of f(z) by z^2+1 is

CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If a^2+b^2+c^2=1,t h e na b+b c+c a lie in the interval a.[1/3,2] ...

    Text Solution

    |

  2. z1a n dz2 are the roots of 3z^2+3z+b=0. if O(0),(z1),(z2) form an equi...

    Text Solution

    |

  3. Consider the given equation 11 z^10 + 10 i z^9 + 10 i z - 11 =0, then ...

    Text Solution

    |

  4. Let alpha,beta be the roots of the equation (x-a)(x-b)=c ,c!=0. Then t...

    Text Solution

    |

  5. If 8iz^3+12z^2-18z+27i=0, then (a). |z|=3/2 (b). |z|=2/3 (c). |z|...

    Text Solution

    |

  6. Let z1, z2a n dz3 represent the vertices A ,B ,a n dC of the triangl...

    Text Solution

    |

  7. Let a, b, c be real numbers, a != 0. If alpha is a zero of a^2 x^2+bx...

    Text Solution

    |

  8. If x^2+p x+1 is a factor of the expression a x^3+b x+c , then a^2-c^2=...

    Text Solution

    |

  9. If |z| < sqrt(2)-1,t h e n|z^2+2zcosalpha|i s a. less than 1 b. sqr...

    Text Solution

    |

  10. On the Argand plane z1, z2a n dz3 are respectively, the vertices of an...

    Text Solution

    |

  11. If z(Re z ne2) be a complex number such that z^2-4z=absz^2+16/absz^3 t...

    Text Solution

    |

  12. Both the roots of the equation (x-b)(x-c)+(x-a)(x-c)+(x-a)(x-b)=0 are ...

    Text Solution

    |

  13. Find the locus of the points representing the complex number z for...

    Text Solution

    |

  14. The equation x-2/(x-1)=1-2/(x-1) has a. no root b. one root c. t...

    Text Solution

    |

  15. Identify the locus of z if bar z = bar a +(r^2)/(z-a).

    Text Solution

    |

  16. If the expression (1 + ir)^3 is of the form of s(1+ i) for some real '...

    Text Solution

    |

  17. Two towns Aa n dB are 60 km apart. A school is to be built to serve 15...

    Text Solution

    |

  18. Find the amplitude of sinalpha+i(1-cosalpha)

    Text Solution

    |

  19. Modulus of non zero complex number z satisfying barz +z=0 and |z|^2-4...

    Text Solution

    |

  20. Find the condition on a , b ,c ,d such that equations 2a x^3+bx^2+c x+...

    Text Solution

    |