Home
Class 12
MATHS
If z(1)=4-3iand z(2)=-12+5i, "show that"...

If `z_(1)=4-3iand z_(2)=-12+5i, "show that",`
`bar(z_(1)z_(2))=bar(z_(1))*bar(z_(2))`

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBER

    CHHAYA PUBLICATION|Exercise EXERCISE 4(LONG ANSWER TYPE QUESTION )|27 Videos
  • COMPLEX NUMBER

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTION FOR COMPETITIVEEXAMS(Multiple Corrrect Answer type)|7 Videos
  • COMPLEX NUMBER

    CHHAYA PUBLICATION|Exercise EXERCISE 4 (VERY SHORT ANSWER TYPE QUESTIONS)|34 Videos
  • CIRCLE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (E. Assertion-Reason Type)|2 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion - Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

If z_(1)=-3+4i and z_(2)=12-5i, "show that", bar(z_(1)+z_(2))=bar(z_(1))+bar(z_(2))

If z_(1)=4-3iand z_(2)=-12+5i, "show that", |z_(1)z_(2)|=|z_(1)||z_(2)|

If z_(1)=4-3iand z_(2)=-12+5i, "show that", |z_(1)/z_(2)|=|z_(1)|/|z_(2)|

If z_(1)=4-3iand z_(2)=-12+5i, "show that", |z_(1)+z_(2)|lt|z_(1)|+|z_(2)|

If z_(1)=-3+4i and z_(2)=12-5i, "show that", |(z_(1))/(z_(2))|=(|z_(1)|)/(|z_(2)|)

If z_(1)=-3+4i and z_(2)=12-5i, "show that", |z_(1)z_(2)|=|z_(1)||z_(2)|

If z_(1)=-3+4i and z_(2)=12-5i, "show that", |z_(1)+z_(2)|lt|z_(1)|+|z_(2)|

If z_(1)=1+isqrt3and z_(2)=sqrt3-i, show that arg(z_(1)z_(2))=argz_(1)+argz_(2)

If z_(1)=1+isqrt3and z_(2)=sqrt3-i, show that arg""(z_(1))/(z_(2))=argz_(1)-argz_(2).

If |z_(1)|=|z_(2)|and argz_(1)~argz_(2)=pi, "show that" " " z_(1)+z_(2)=0.

CHHAYA PUBLICATION-COMPLEX NUMBER-EXERCISE 4(SHORT ANSWER TYPE QUESTION )
  1. If z(1)=4-3iand z(2)=-12+5i, "show that", bar(z(1)+z(2))=bar(z(1))+b...

    Text Solution

    |

  2. If z(1)=4-3iand z(2)=-12+5i, "show that", |z(1)+z(2)|lt|z(1)|+|z(2)|

    Text Solution

    |

  3. If z(1)=4-3iand z(2)=-12+5i, "show that", bar(z(1)z(2))=bar(z(1))*ba...

    Text Solution

    |

  4. If z(1)=4-3iand z(2)=-12+5i, "show that", |z(1)z(2)|=|z(1)||z(2)|

    Text Solution

    |

  5. If z(1)=4-3iand z(2)=-12+5i, "show that", |z(1)/z(2)|=|z(1)|/|z(2)|

    Text Solution

    |

  6. If z=2-3i, express (1-2z)/(z-3) in the form A+iB where A and B are rea...

    Text Solution

    |

  7. If (2+i)/(2-3i)=A+iB (A,B" ""are real", i =sqrt(-1)), find the value o...

    Text Solution

    |

  8. If (2+i)/(2-3i)=A+iB (A,B" ""are real", i =sqrt(-1)), find the value o...

    Text Solution

    |

  9. Express each of the following complex numbers in modulus-amlitude form...

    Text Solution

    |

  10. Express each of the following complex numbers in modulus-amlitude form...

    Text Solution

    |

  11. Express each of the following complex numbers in modulus-amlitude form...

    Text Solution

    |

  12. Express each of the following complex numbers in modulus-amlitude form...

    Text Solution

    |

  13. Express each of the following complex numbers in modulus-amlitude form...

    Text Solution

    |

  14. If a,b,c,d,x,y are real and (a+ib)(c+id)=x+iy, show that , (a-ib)(c-id...

    Text Solution

    |

  15. If a,b,c,d,x,y are real and (a+ib)(c+id)=x+iy, show that , (ac-bd)^(2)...

    Text Solution

    |

  16. If (a+ib)/(c+id)=x+iy prove that, (a-ib)/(c-id)=x-iy

    Text Solution

    |

  17. If (a+ib)/(c+id)=x+iy prove that, (a^(2)+b^(2))/(c^(2)+d^(2))=x^(2)+y^...

    Text Solution

    |

  18. If x+iy=sqrt((a+ib)/(c+id))" ""prove that", (x^(2)+y^(2))^(2)=(a^(2)+...

    Text Solution

    |

  19. If a,b,p,q are real and 3sqrt(a-ib)=p-iq" ""prove that" " " 3sqrt(a+ib...

    Text Solution

    |

  20. If z=x+iy and |z+6|=|2z+3|, porve that x^(2)+y^(2)=9.

    Text Solution

    |