Home
Class 11
MATHS
If z(1)= 3 + 5i and z(2)= 2- 3i, then ve...

If `z_(1)= 3 + 5i and z_(2)= 2- 3i`, then verify that `bar(((z_(1))/(z_(2))))= (bar(z)_(1))/(bar(z)_(2))`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ICSE|Exercise Exercise (C)|21 Videos

  • COMPLEX NUMBERS

    ICSE|Exercise Exercise (D)|20 Videos

  • COMPLEX NUMBERS

    ICSE|Exercise Exercise (A)|27 Videos

  • COMPLEX NUMBER

    ICSE|Exercise MULTIPLE CHOICE QUESTIONS |34 Videos

  • COMPOUND AND MULTIPLE ANGLES

    ICSE|Exercise CHEPTER TEST |23 Videos

Similar Questions

Explore conceptually related problems

If z_(1) = 3+ 2i and z_(2) = 2-i then verify that (i) bar(z_(1) + z_(2)) = barz_(1) + barz_(2)

If z_(1)=2 + 7i and z_(2)=1- 5i , then verify that |(z_(1))/(z_(2))|= (|z_(1)|)/(|z_(2)|)

If z_(1)=2 + 7i and z_(2)=1- 5i , then verify that |z_(1)z_(2)|= |z_(1)||z_(2)|

If z_(1)=2 + 7i and z_(2)=1- 5i , then verify that |z_(1)-z_(2)| gt |z_(1)|-|z_(2)|

If z=4 + 3i , then verify that |z|= |bar(z)|

If z_(1)=2 + 7i and z_(2)=1- 5i , then verify that |z_(1) + z_(2)| le |z_(1)| + |z_(2)|

if z_(1) = 3-i and z_(2) = -3 +i, then find Re ((z_(1)z_(2))/(barz_(1)))

If z=4 + 3i , then verify that z^(-1)= (bar(z))/(|z|^(2))

If z_(1)=3 + 4i,z_(2)= 8-15i , verify that |(z_(1))/(z_(2))|= (|z_(1)|)/(|z_(2)|)

If z_(1)=3 + 4i,z_(2)= 8-15i , verify that |z_(1)z_(2) |= |z_(1)| |z_(2)|

ICSE-COMPLEX NUMBERS-Exercise (B)
  1. Perform the indicated operation and give your answer in the form x+yi,...

    Text Solution

    |

  2. If x+ yi= (u+ vi)/(u-yi), prove that x^(2) + y^(2)=1

    Text Solution

    |

  3. Prove that : [4 + 3 sqrt(-20)]^((1)/(2)) + [4 -3 sqrt(-20)]^((1)/(2))...

    Text Solution

    |

  4. Express the following in the form a+ bi sqrt((5(2+i))/(2-i))

    Text Solution

    |

  5. Express the following in the form a+ bi ((3-i)^(2))/(2+i)

    Text Solution

    |

  6. Express the following in the form a+ bi (1+i)^(-3)

    Text Solution

    |

  7. Express the following in the form a+ bi ((4i^(3)-i)^(2))/(2i+1)

    Text Solution

    |

  8. Express the following in the form a+ bi (i-1)/(i+1)

    Text Solution

    |

  9. Express the following in the form a+ bi (2+i)/((3-i)(1+2i))

    Text Solution

    |

  10. Express the following in the form a+ bi (5)/(2i-7i^(2))

    Text Solution

    |

  11. Prove that ((-1 + isqrt3)/(2))^(3) is a positive integer

    Text Solution

    |

  12. If one of the values of x of the equation 2x^(2)-6x + k= 0 " be " (1)/...

    Text Solution

    |

  13. Define conjugate complex numbers and show that their sum and product a...

    Text Solution

    |

  14. If bar(z)= -z ne 0, show that z is necessarily a purely imaginary numb...

    Text Solution

    |

  15. z and z' are complex numbers such that their product zz' = 3-4i. Given...

    Text Solution

    |

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

    Text Solution

    |

  17. Let z(1)=2 -I, z(2)= -2 +i, find (i) Re ((z(1)z(2))/(bar(z)(1))), (ii)...

    Text Solution

    |

  18. If z(1)= 3 + 5i and z(2)= 2- 3i, then verify that bar(((z(1))/(z(2))))...

    Text Solution

    |

  19. If x= -2 - sqrt3i, where i= sqrt(-1, find the value of 2x^(4) + 5x^(3)...

    Text Solution

    |

  20. If z= -3 + sqrt2i, then prove that z^(4) + 5z^(3) + 8z^(2) + 7z + 4 is...

    Text Solution

    |