If `z=|-5 3+4i5-7i3-4i6 8+7i5+7i8-7i9|,t h e nz` is purely real purely imaginary `a+i b ,w h e r ea!=0,b!=0` d. `a+i b ,w h e r eb=4`

If z = |{:(-5,3+4i,5-7i),(3-4i,6,8+7i),(5+7i,8-7i,9):}| , then z is

Which term of the sequence 8-6i,7-4i,6-2i,...... is (i) purely real (ii) purely imaginary?

If z=|(1+i, 5+2i, 3-2i),(7i, -3i, 5i),(1-i, 5-2i, 3+2i)| then (A) z is purely real imaginary (B) z is purely real (C) z has equal real and imaginary parts (D) z has positive real and imaginary parts.

Which term of the sequence 12+8i,11+6i,10+4i,cdots is a purely real b.purely imaginary?

If z = (3+ 7i) (a +ib) where a, b in in Z- {0} , is purely imaginary , then the minimum value of |z| is

If w=(z+4i)/(z+2i) is purely imaginary then find |z+3i|.

If z is a unimodular number (!=+-i) then (z+i)/(z-i) is (A) purely real (B) purely imaginary (C) an imaginary number which is not purely imaginary (D) both purely real and purely imaginary

Consider two complex numbers alphaa n dbeta as alpha=[(a+b i)//(a-b i)]^2+[(a-b i)//(a+b i)]^2, where a ,b , in R and beta=(z-1)//(z+1), w here |z|=1, then find the correct statement: both alphaa n dbeta are purely real both alphaa n dbeta are purely imaginary alpha is purely real andbeta is purely imaginary beta is purely real and alpha is purely imaginary

If A = ((2,3-i,-i),(3+i,pi,7+i),(i,7-i,e)) then A is