" (a) 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)|

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

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

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

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

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

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

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

If z_(1)=5+2i and z_(2)=2 +i ,verify (i) |z_(1)z_(2)|= |z_(1)||z_(2)|