" g.) "{i^(21)-((1)/(i))^(46)}^(2)=2i

Prove that: (i) (1-i)^(2)=-2i (ii) (1+i)^(4)xx(1+(1)/(i))^(4)=16 (iii) {i^(19)+((1)/(i))^(25)}^(2)=-4 (iv) i^(4n)+i^(4n+1)+i^(4n+2)+i^(4n+3)=0 (v) 2i^(2)+6i^(3)+3i^(16)-6i^(19)+4i^(25)=1+4i .

If ((1+i)/(1-i))^(m/2)=((1+i)/(-1+i))^(n/3)=1 . Find the G.C.D. of m,n

Express each of the following in the form (a + ib) and find its conjugate: {:((i),(1)/((4+3i)),(ii),(2+3i)^(2),(iii),((2-i))/((1-2i)^(2))),((iv),((1+i)(1+2i))/((1+3i)),(v),((1+2i)/(2+i))^(2),(vi),((2+i))/((3-i)(1+2i))):}

Which of the following two reactions indicates the formation reaction of HI(g) at 25^(@)C and 1 atm? (i) (1)/(2)H_(2)(g)+(1)/(2)I_(2)(g)toHI(g) (ii) (1)/(2)H_(2)(g)+(1)/(2)I_(2)(s)toHI(g) .

" If "z=((1+i)(1+2i)(1+3i))/((1-i)(2-i)(3-i))" then the principal argument of "z"

The value of (i^(5)+i^(6)+i^(7)+i^(8)+i^(9))/(1+i) is (1)/(2)(1+i)(b)(1)/(2)(1-i)(c)1(d)(1)/(2)

((1+2i)^(3))/((1+i)(2-i))

Prove that the matrix A=[[(1+i)/(2),(-1+i)/(2)(1+i)/(2),(1-i)/(2)]] is