Home
Class 11
MATHS
Let z1=2-i, z2=-2+i. Find Re((z1z2)/ove...

Let `z_1=2-i, z_2=-2+i`. Find Re`((z_1z_2)/overlinez_1)`

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEORM

    V PUBLICATION|Exercise QUESTIONBANK|74 Videos

  • CONIC SECTIONS

    V PUBLICATION|Exercise Question Bank|88 Videos

Similar Questions

Explore conceptually related problems

Let z_1=2-i, z_2=-2+i . Find Im (1/(z_1overlinez_1))

Suppose z_1 = 1 - i and z_2 = -2 + 4i Find Im ((z_1z_2)/z_1) and Re ((z_1z_2)/z_1) . Hence, find abs((z_1z_2)/z_1)

Suppose z_1 = 1 - i and z_2 = -2 + 4i Find overlinez_1

Consider the complex number z_1 = 2 - i and z_2 = -2 + i Find (z_1z_2)/z_1 . Hence, find abs((z_1z_2)/z_1)

Consider the complex number z_1 = 2 - i and z_2 = 2 + i Find 1/(z_1z_2) . Hence, prove than I_m(1/(z_1z_2)) = 0

Suppose z_1 = 1 - i and z_2 = -2 + 4i Find z_1z_2

If z_1=2-i,z_2=1+i Hence find abs[(z_1+z_2+1)/(z_1-z_2+i)]

If (z)_(1)=2-i , (z)_(2)=1+i , find |((z)_(1)+(z)_(2)+1)/((z)_(1)-(z)_(2)+1)|

Given that for any complex number z, absz^2 = zoverlinez . Prove that abs(z_1+z_2)^2 = abs(z_1)^2 + 2Re(z_1overlinez_2) + abs(z_2)^2

If z_1=2-i,z_2=1+i Find abs[z_1+z_2+1] and abs[z_1-z_2+i] .

V PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTION BANK
  1. If (z)(1)=2-i, (z)(2)=1+i, find |((z)(1)+(z)(2)+1)/((z)(1)-(z)(2)+1)|

    Text Solution

    |

  2. If a+ib=(x+i)^2/(2x^2+1), prove that a^2+b^2=(x^2+1)^2/(2x^2+1)^2

    Text Solution

    |

  3. Let z1=2-i, z2=-2+i. Find Re((z1z2)/overlinez1)

    Text Solution

    |

  4. Find the modulus and argument of the complex number (1+2i)/(1-3i)

    Text Solution

    |

  5. Find the real numbers x and y if (x-iy)(3+5i) is the conjugate of - 6 ...

    Text Solution

    |

  6. Find the modulus of (1+i)/(1-i) - (1-i)/(1+i)

    Text Solution

    |

  7. If (x+iy)^3 = u + iv, then show that u/x+v/y=4(x^2-y^2)

    Text Solution

    |

  8. If alpha and beta are different complex numbers with absbeta = 1, then...

    Text Solution

    |

  9. Find the number of non zero integral solutions of the equation abs(1-i...

    Text Solution

    |

  10. If (a+ib) (c+id) (e+if) (g+ih) = A+iB, then show that (a^2+b^2) (c^2+d...

    Text Solution

    |

  11. If ((1+i)/(1-i))^m = 1 then find the least integral value of m

    Text Solution

    |

  12. Show that a real value of 'x' will satisfy the equation (1- ix )/(1+i...

    Text Solution

    |

  13. Find the modulus of the following complex numbers i) 1+i tan alpha i...

    Text Solution

    |

  14. Show that the images of the given complex numbers 3+2 i , 5 i,-3+2 ian...

    Text Solution

    |

  15. Given that for any complex number z, absz^2 = zoverlinez . Prove that ...

    Text Solution

    |

  16. Which of the following is true? i) a)|(z)1+(z)(2)| le|(z)(1)|+|(z)(2)|...

    Text Solution

    |

  17. Represent the complex number z=1+i in the polar form.

    Text Solution

    |

  18. If (5+6 i)/(3+4 i)=x+i y, then find the value of x-y.

    Text Solution

    |

  19. If a+ib=(x+i)^2/(2x^2+1), prove that a^2+b^2=(x^2+1)^2/(2x^2+1)^2

    Text Solution

    |

  20. If z(1)and z(2) are non -zero complex numbers, then show that (z(1) z(...

    Text Solution

    |