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

If z is a complex number such that z `in CC\\RR`, and z + `(1)/(z) in RR`, then |z| is

A

`0`

B

`1`

C

`2`

D

`3`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    PREMIERS PUBLISHERS|Exercise Problem for practice|45 Videos

  • COMPLEX NUMBERS

    PREMIERS PUBLISHERS|Exercise Solution to Exercise 2.8|16 Videos

  • APPLICATIONS OF VECTOR ALGEBRA

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Answer the following questions)|21 Videos

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|40 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 is any complex number, then the points z,iz,-z,-iz

If z is non zero complex number, such that 2i z^(2) = bar(z), then |z| is

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

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

If z_1a n dz_2 are two complex numbers such that |z_1|=|z_2|a n d arg(z_1)+a r g(z_2)=pi , then show that z_1,=-( barz )_2dot

PREMIERS PUBLISHERS-COMPLEX NUMBERS-Solution to Exercise 2.9
  1. If z is non zero complex number, such that 2i z^(2) = bar(z),then |z| ...

    Text Solution

    |

  2. If |z-2 + i|le2, then the greatest value of |z| is

    Text Solution

    |

  3. If |z - (3)/(z)| = 2, then the least value of |z| is

    Text Solution

    |

  4. If |z| = 1, then the value of (1+z)/(1 +bar(z)).

    Text Solution

    |

  5. The solution of the equation |z| -z = 1 + 2i is

    Text Solution

    |

  6. If |z(1)| = 1, |z(2)| = 2, |z(3)| = 3 and |9z(1)z(2) + 4z(1) z(3) + z(...

    Text Solution

    |

  7. If z is a complex number such that z in CC\\RR, and z + (1)/(z) in RR,...

    Text Solution

    |

  8. z(1), z(3), and z(3) are complex numbers such that z(1) + z(2) + z(3)=...

    Text Solution

    |

  9. If (z - 1)/(z + 1) is purely imaginary, then |z| is

    Text Solution

    |

  10. If z = x + iy is a complex number such that |z + 2| = |z - 2|, then th...

    Text Solution

    |

  11. The principal argument of (3)/(-1 + i) is

    Text Solution

    |

  12. The principal argument of (sin 40^(@) + i cos 40^(@))^(5) is

    Text Solution

    |

  13. If (1 + i)(1 + 2i)(1 + 3i)….(1 + ni) = x + iy, then 2.5.10…(1 + n^(2))...

    Text Solution

    |

  14. If omega ne 1 is a cubic root of unit and (1 + omega)^(7) = A + Bomega...

    Text Solution

    |

  15. The principal argument of the complex number ((1 + i sqrt(3))^(2))/(4i...

    Text Solution

    |

  16. If alpha and beta are the roots of x^(2) + x + 1 = 0, then alpha^(2020...

    Text Solution

    |

  17. The product of all four values of (cos"" (pi)/(3) + i sin ""(pi)/(3))^...

    Text Solution

    |

  18. If omega ne 1 is a cubit root unity and |(1,1,1),(1,-omega^(2)-1,omega...

    Text Solution

    |

  19. The value of ((1+sqrt(3)i)/(1 - sqrt(3)i))^(10) is

    Text Solution

    |

  20. If omega = cis (2pi)/(3), then number of distinct roots of |(z+1,omega...

    Text Solution

    |