Home
Class 12
MATHS
If z is a complex number such that Re(z)...

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

A

`Re(z^2)=0`

B

`Img(z^2)=0`

C

`Re(z^2)=Img(z^2)`

D

`Re(z^2)= -Img(z^2)`

Text Solution

Verified by Experts

The correct Answer is:
A
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 taht z^2=( barz)^2, then find the location of z on the Argand plane.

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

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

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

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

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

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

If z!=0 is a complex number, then prove that R e(z)=0 rArr Im(z^2)=0.

NEW JOYTHI PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. Let omega be a imaginary root of x^(n)=1. Then (5- omega)(5- omega^2)"...

    Text Solution

    |

  2. If isqrt(-1), then 4+5(-(1)/(2)+(isqrt(3))/(2))^(334)+3(-(1)/(2)+(isqr...

    Text Solution

    |

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

    Text Solution

    |

  4. If alpha" and "beta are the roots of the equation x^(2)-7x+1=0, then t...

    Text Solution

    |

  5. If alpha " and "beta are different complex numbers with |beta|=1, then...

    Text Solution

    |

  6. If omega is a complex cube root of unity, then the value of sin{(omega...

    Text Solution

    |

  7. Let z=(11-3i)/(1+i). If alpha is a real number such z-ialpha is real, ...

    Text Solution

    |

  8. Let z(1)" and "z(2) be the roots of the equation z^(2)+pz+q=0, where p...

    Text Solution

    |

  9. If alpha, beta, gamma are the cube roots of a negative number p, then ...

    Text Solution

    |

  10. The magnitude and amplitude of ((1+isqrt(3))(2+2i))/((sqrt(3)-i)) are ...

    Text Solution

    |

  11. If 1+x^(2)=sqrt(3)x, then sum(n=1)^(24)(x^(n)-(1)/(x^n))^(2) is equal ...

    Text Solution

    |

  12. If alpha and beta are the roots of the equation ax^(2)+bx+c=0 then (a...

    Text Solution

    |

  13. If one root of the equation x^(2)+px+12=0 is 4, while the equation x^(...

    Text Solution

    |

  14. Given tan A and tan B are the roots of x^(2)-ax+b=0. The value of sin^...

    Text Solution

    |

  15. The number of roots of the equation |x|= x^(2)+x-4 is

    Text Solution

    |

  16. If alpha, beta are the roots of the equation x^(2)-px+q=0, prove that ...

    Text Solution

    |

  17. If sec alpha" and cosec "alpha are the roots of the equation x^(2)-px+...

    Text Solution

    |

  18. Let a(n)=i^((n+1)^2), where i=sqrt(-1)" and "n=1, 2, 3,"………..". Then t...

    Text Solution

    |

  19. If (5z2)/(11z1) is purely imaginary, then the value of |(2z(1)+3z(2))/...

    Text Solution

    |

  20. If 2alpha= -1-isqrt(3)" and"2beta= -1+isqrt(3), then 5alpha^(4)+5beta^...

    Text Solution

    |