Which of the following are correct for any two complex numbers `z_1 and z_2?` (A) `|z_1z_2|=|z_1||z_2|` (B) `arg(|z_1 z_2|)=(argz_1)(arg,z_2)` (C) `|z_1+z_2|=|z_1|+|z_2|` (D) `|z_1-z_2|ge|z_1|-|z_2|`

Which of the following is correct for any tow complex numbers z_(1) and z_(2)?(a)|z_(1)z_(2)|=|z_(1)||z_(2)|(b)arg(z_(1)z_(2))=arg(z_(1))arg(z_(2))(c)|z_(1)+z_(2)|=|z_(1)|+|z_(2)|(d)|z_(1)+z_(2)|>=|z_(1)|+|z_(2)|

For any two complex number z_1a n d\ z_2 prove that: |z_1-z_2|lt=|z_1|+|z_2|

For any two complex number z_1a n d\ z_2 prove that: |z_1+z_2|geq|z_1|-|z_2|

For any two complex number z_1a n d\ z_2 prove that: |z_1-z_2|geq|z_1|-|z_2|

For any two complex numbers z_1 and z_2 , prove that |z_1+z_2| =|z_1|-|z_2| and |z_1-z_2|>=|z_1|-|z_2|

For any two complex numbers z_1 and z_2 prove that: |\z_1+z_2|^2=|\z_1|^2+|\z_2|^2+2Re bar z_1 z_2

If for the complex numbers z_1 and z_2 , |z_1+z_2|=|z_1-z_2| , then Arg(z_1)-Arg(z_2) is equal to

For any two complex numbers z_1 and z_2 prove that: |\z_1+z_2|^2 +|\z_1-z_2|^2=2[|\z_1|^2+|\z_2|^2]

For any two complex numbers z1 and z2 ,prove that arg(z1.z2)=arg(z1)+arg(z2) .