Which of the following is (are) correct? (A) `bara z_1+abarz_1-baraz_2-abarz_2=0` (B) `bara z_1+abarz_1+baraz_2+abarz_2=-b` (C) `bara z_1+abarz_1+baraz_2+abarz_2=2b` (D) `bara z_1+abarz_1+baraz_2+abarz_2=-2b`

Which of the following is (are) correct? (A) barz_1+abarz_2=2b (B) barz_1+abarz_2=b (C) barz_1+abarz_2=-b (D) barz_1+abarz_2=-2b

Which of the following is (are) correct? (A) bar(z_1-z_2)-a(barz_1-barz_2)=0 (B) bar(z_1-z_2)+a(barz_1-barz_2)=0 (C) bar(z_1-z_2)+a(barz_1-barz_2)=-b (D) bar(z_1-z_2)+a(barz_1-barz_2)=-b

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|

prove that: (baraxxbarb) ^ 2 = | bara | ^ 2 | barb | ^ 2 - (bara.barb) ^ 2 = | (bara.bara, bara.barb), (bara.barb, barb.barb) |

If Z_(1)=1+i and Z_(2)=2+2i , then which of the following is not true. (A) |z_(1)z_(2)|=|z_(1)||z_(2)| (B) |z_(1)+z_(2)|=|z_(1)|+|z_(2)| (C) |z_(1)-z_(2)|=|z_(1)|-|z_(2)| (D) |(z_(1))/(z_(2))|=(|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)|

If |z_1+z_2|=|z_1-z_2| and |z_1|=|z_2|, then (A) z_1=+-iz_2 (B) z_1=z_2 (C) z_=-z_2 (D) z_2=+-iz_1

If z_1 and z_2 are two complex numbers such that |(barz_1-2barz_2)(2-z_1barz_2)|=1 then (A) |z_1|=1, if |z_2|!=1 (B) |z_1|=2, if |z_2|!=1 (C) |z_2|=2, if |z_1|!=1 (D) |z_2|=1, if |z_1|!=2

If z_1 and z_2 two non zero complex numbers such that |z_1+z_2|=|z_1| then which of the following may be true (A) argz_1-argz_2=0 (B) argz_1-argz_2=pi (C) |z_1-z_2|=||z_1|-|z_2|| (D) argz_1-argz_2=4pi