Home
Class 12
MATHS
If z is a complex number such that z+|z|...

If z is a complex number such that `z+|z|=8+ 12i`, then the value of `|z^2|` is equal to

A

228

B

144

C

121

D

169

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|50 Videos
  • BINOMIAL THEOREM

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|51 Videos
  • CONIC SECTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE - HYPERBOLA|9 Videos

Similar Questions

Explore conceptually related problems

If z is a complex number such that Re (z) = Im(z), then

If z is a complex number such that Re(z)=Im(z) , then

If z = x + iy is a complex number such that |z + 2| = |z - 2|, then the locus of z is

If z is any complex number such that |z+4|lt=3, then find the greatest value of |z+1|dot

The complex number z satisfies z+|z|=2+8i . find the value of |z|-8

If z = x + iy is a complex number such that |(z-4i)/(z+ 4i)| = 1 show that the locus of z is real axis.

Suppose that z is a complex number that satisfies |z-2-2i|lt=1. The maximum value of |2i z+4| is equal to _______.

If z is any complex number satisfying |z-3-2i|lt=2 then the maximum value of |2z-6+5i| is

NEW JOYTHI PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. Let x(1)" and "y(1) be real numbers. If z(1)" and "z(2) are complex nu...

    Text Solution

    |

  2. Let z(1)" and "z(2) be complex numbers such that z(1)+ i(bar(z2))=0" a...

    Text Solution

    |

  3. If z is a complex number such that z+|z|=8+ 12i, then the value of |z^...

    Text Solution

    |

  4. The value of (1)/(i)+(1)/(i^2)+(1)/(i^3)+"……"+(1)/(i^(102) is equal to

    Text Solution

    |

  5. Let the complex numbers z(1),z(2),z(3)" and "z(4) denote the vertices ...

    Text Solution

    |

  6. The quadratic equation (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 has equal ro...

    Text Solution

    |

  7. Let alpha" and "beta be the roots of the equation px^(2)+qx+r=0. If p,...

    Text Solution

    |

  8. If the roots of the equation x^(2)+px+c=0 are 2,-2 and the roots of th...

    Text Solution

    |

  9. If a is a root of the equation x^(2)-3x+1=0, then the value of (a^3)/(...

    Text Solution

    |

  10. If the sum of the roots of the equation (a+1)x^(2)+(2a+3)x+(3a+4)=0, i...

    Text Solution

    |

  11. The product of the roots of the equation x|x|-5x-6=0 is equal to

    Text Solution

    |

  12. If z=((sqrt(3)+i)^(3)(3i+ 4)^(2))/((8+6i)^(2)), then |z| is equal to

    Text Solution

    |

  13. Let w ne pm 1 be a complex number. If |w|=1" and "z=(w-1)/(w+1), then ...

    Text Solution

    |

  14. If z= e^((2pi i)/(3)), then 1+z+3z^(2)+2z^(3)+2z^(4)+3z^(5) is equal t...

    Text Solution

    |

  15. If z(1)= 2sqrt(2)(1+i)" and "z(2)=1+isqrt(3), then z(1)^(2)z(2)^(3) is...

    Text Solution

    |

  16. If the complex numbers z(1), z(2)" and "z(3) denote the vertices of an...

    Text Solution

    |

  17. If the roots of x^(2)-ax+b=0 are two consecutive odd integers, then a^...

    Text Solution

    |

  18. If alpha" and "beta are the roots of x^(2)-ax+b^(2)=0, then alpha^(2)+...

    Text Solution

    |

  19. If alpha" and "beta are the roots of the equation x^(2)+3x-4=0, then ...

    Text Solution

    |

  20. The value of x such that 3^(2x)-2(3^(x+2))+81=0 is

    Text Solution

    |