What is the value of `z^2 +(barz)^2 +2|z|^2`, if `z=3+2i?` (A) 36 (B) 81+12i (C) 39 (D) 40+12i

The value of (z + 3) (barz + 3) is equivlent to (A) |z+3|^(2) (B) |z-3| (C) z^2+3 (D) none of these

The value of (z + 3) (barz + 3) is equivlent to (A) |z+3|^(2) (B) |z-3| (C) z^2+3 (D) none of these

If z+sqrt(2)|z+1|+i=0 , then z= (A) 2+i (B) 2-i (C) -2-i (D) -2+i

If z+sqrt(2)|z+1|+i=0 , then z= (A) 2+i (B) 2-i (C) -2-i (D) -2+i

If |z|-z=3-2i, then z equals (A) 7/6+i, (B) -7/6+2i, (C) -5/6+2i, (D) 5/6+i

If |z-4+3i|le2 then the complex number z for which |z| is minimum is (A) 12/5+9/5i (B) 9/5-12/5i (C) 12/5-9/5i (D) -12/5+9/5i

The value of (z+3) (barz+3) is equal to (i) |z +3|^(2) (ii) |z-3| (iii) z^(2)+3 (iv) none of these

if z=3 -2i, then verify that (i) z + barz = 2Rez (ii) z - barz = 2ilm z

if z=3 -2i, then verify that (i) z + barz = 2Rez (ii) z - barz = 2ilm z