Home
Class 11
MATHS
Suppose z1 = 2(cos60^@ + isin60^@) and z...

Suppose `z_1 = 2(cos60^@ + isin60^@)` and `z_2 = 4(cos30^@ + isin30^@)` Find `z_1^2z_2^3`

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    A N EXCEL PUBLICATION|Exercise QUESTION BANK |106 Videos
  • CONIC SECTION

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|90 Videos

Similar Questions

Explore conceptually related problems

Suppose z_1 = 2(cos60^@ + isin60^@) and z_2 = 4(cos30^@ + isin30^@) Find z_1z_2

Suppose z_1 = 2(cos60^@ + isin60^@) and z_2 = 4(cos30^@ + isin30^@) find z_1/z_2

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

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

The value of (2(cos 75^(@) + isin 75^(@)))/(0.2(cos 30^(@) + isin 30^(@))) is

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)

If z _(1) = 2 sqrt2 (1 + i) and z _(2) = 1 + isqrt3, then z _(1) ^(2) z _(2) ^(3) is equal to

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)

Suppose z_1 = 1 - i and z_2 = -2 + 4i Joseph evaluted abs((z_1z_2)/z_1) using the following properties (a)modulus of a quotient is the quotient of the moduli Modulus of a product is the product of the moduli (c) Modulus of overlinez =Modulus of z Write the steps carried out by Joseph

If z_(1) = sqrt(2)(cos""(pi)/(4) + "" i sin""(pi)/(4)) and z_(2) = sqrt(3)(cos""(pi)/(3) + i sin""(pi)/(3)) , then |z_(1)z_(2)| is

A N EXCEL PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTION BANK
  1. Suppose z1 = 2(cos60^@ + isin60^@) and z2 = 4(cos30^@ + isin30^@) Find...

    Text Solution

    |

  2. Suppose z1 = 2(cos60^@ + isin60^@) and z2 = 4(cos30^@ + isin30^@) find...

    Text Solution

    |

  3. Suppose z1 = 2(cos60^@ + isin60^@) and z2 = 4(cos30^@ + isin30^@) Find...

    Text Solution

    |

  4. Express (1-3i)/(1+2i) in the form x+iy

    Text Solution

    |

  5. Find the polar form of the complex number (1-3i)/(1+2i)

    Text Solution

    |

  6. Convert the following complex numbers into polar form 1 - i

    Text Solution

    |

  7. Represent the complex number sqrt3+i in the polar form.

    Text Solution

    |

  8. Express (1-i)/(sqrt3+i) in polar form

    Text Solution

    |

  9. Express (1-i)(sqrt3+i) in polar form

    Text Solution

    |

  10. Plot the points represented by the complex numbers 1+i, 2+i, 2+3i, 1+3...

    Text Solution

    |

  11. What are the cartesian co-ordinates of the points 1+i, 2+i, 2+3i, 1+3...

    Text Solution

    |

  12. If two points P and Q are represented by the complex numbers z1 and z2...

    Text Solution

    |

  13. If the points P,Q,R,S are representing the complex numbers -1, 3i, 3+2...

    Text Solution

    |

  14. If z = x+iy, prove that arg(z -1) = tan^(-1)(y/(x-1)) and arg(z+1) = t...

    Text Solution

    |

  15. If arg((z-1)/(z+1)) = pi/2, show that x^2+y^2-1=0

    Text Solution

    |

  16. Express sqrt3-i in polar form using the polar form of sqrt3+i

    Text Solution

    |

  17. Use De-Moivere's theorem to find (sqrt3-i)^9 and (sqrt3-i)^(-1) in rec...

    Text Solution

    |

  18. Determine also, for which values of nepsilonZ, (sqrt3-i)^n is real

    Text Solution

    |

  19. Express 1 + i in modulus amplitude form

    Text Solution

    |

  20. Prove that (1 + i)^4 = -4

    Text Solution

    |