Home
Class 12
MATHS
Let z=a-i/2,a inRR " Then "|i+z|^2-|i-z|...

Let `z=a-i/2,a inRR " Then "|i+z|^2-|i-z|^2=`

A

2

B

`-2`

C

4

D

`-4`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 1)|6 Videos
  • COMPLEX NUMBERS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 2)|6 Videos
  • COMPLEX NUMBERS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos
  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Set 4|4 Videos
  • COORDINATE SYSTEM (2D)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS)|12 Videos

Similar Questions

Explore conceptually related problems

If z=(x+iy) and if the point P in the Argarand plane represent z, then desrcibe geo-metrically the locus of P satispfying the equation. |z+i|^(2)-|z-i|^(2)=2

Let the complex number z_1,z_2,z_3 be the vertices of an equilateral triangle . Let z_0 be the circumcentre of the triangle . Then z_1^2+z_2^2+z_3^2=

If z = 2 + 3i , then zbar(z) =

If z = 3- 5i then z^(2) - 10z + 30=

If z = (x + iy) and if the point P in the Argand plane represents z , then discribe geometrically the locus of P satisfying the equations |z + i|^(2) - |z - i|^(2) = 2

I : The number of solutions of the equation z^(2) + |z|^(2) = 0 is 2 II : The number of solutions of z^(2) + |z| = 0 is 3 Which of the statements are true

If z_1=1+2i,z_2=2+3i,z_3=3+4i, " then " z_1,z_2and z_3 represents the vertices of

DIPTI PUBLICATION ( AP EAMET)-COMPLEX NUMBERS -EXERCISE 1
  1. If x=-5+4i then x^4+9x^3+35x^2-x+4=

    Text Solution

    |

  2. If z = 3 + 5i then z^3+barz+198=

    Text Solution

    |

  3. Let z=a-i/2,a inRR " Then "|i+z|^2-|i-z|^2=

    Text Solution

    |

  4. If the first term and common ratio of a G.P are both (1//2) (sqrt(3)+i...

    Text Solution

    |

  5. sum(n=0)^oo((2i)/(3))^n=

    Text Solution

    |

  6. If (a1+ib1)(a2+ib2)......(an+ibn)=A+iB, "then "Tan^(-1)(b1/a1)+Tan^(-1...

    Text Solution

    |

  7. The real value of theta for which the expression (1 -isin theta)/(1 + ...

    Text Solution

    |

  8. If (1-sintheta)/(1+2isintheta) is purely imaginary then theta=

    Text Solution

    |

  9. If (3+2isintheta)/(3-2isintheta) is real , then theta =

    Text Solution

    |

  10. A value of theta for which (2+3isintheta)/(1-2isintheta) is purely ima...

    Text Solution

    |

  11. If (tanalpha-i[sin(alpha//2)+cos(alpha//2)])/(1+2isin(alpha//2)) is pu...

    Text Solution

    |

  12. Find the general value of x if the expression (sin ""(x)/(2) + cos"" (...

    Text Solution

    |

  13. The principal value of the argument -sqrt(3)+i is

    Text Solution

    |

  14. The amplitude of 1+costheta+isintheta is

    Text Solution

    |

  15. The amplitude of (1+sqrt(3)i)/(sqrt(3)+i) is

    Text Solution

    |

  16. If pi//5 and pi//3 are the arguments of barz1 and z2 then the value of...

    Text Solution

    |

  17. If pi//3 and pi//4 are the arguments of z1 and barz2 then the value of...

    Text Solution

    |

  18. If 2pi//3 and pi//6 are the arguments of barz1 and z2 then value of ar...

    Text Solution

    |

  19. z=1+isqrt(3)rArr|Arg z|+|Argbarz|=

    Text Solution

    |

  20. If z1 and z2 are two non - zero complex numbers such that |z1+z2|=|z1|...

    Text Solution

    |