If `(3+4i)(1+3i)(7-i)=a+bi`, then `a+b=?`

If (a+bi)/(2+3i)=6+7i , then [a+b] = , (where [.] represents G.I.F.)

If (4 + 3i)^(2) = 7 + 24i , then a value of (7 + sqrt(-576))^(1//2) - (7-sqrt(-576))^(1//2) is :

"If A" = [{:(1, 2), (1, 3):}] , then find A^(-1) + A . (a) I (b) 2I (c) 3I (d) 4I

Express (1 /(2 -2i)+3/(1+i)) ((3+ 4i)/(2-4i)) in the form of a +ib

If Z=(7+i)/(3+4i) , then find Z^14 .

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

(a) Write the conjugates of the following: (i) 3+i (ii) 3-i (iii) -sqrt(5)-sqrt(7)i (iv) -sqrt(5)i (v) (4)/(5) (vi) 49-(i)/(7) (vii) (1-i)/(1+i) (viii) (1+i)^(2) (ix) (2+5i)^(2) (x) (-2-(1)/(3)i)^(3) (b) Find the real number x and y if: (i) (x-iy)(3+5i) is the conjugate of -6-24 i (ii) -3+ix^(2)y and x^(2)+y+4i are congugate of each other.

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

If a and b are vectors such that |a+b|=sqrt(29) and a xx(2i+3j+4k)=(2i+3j+4k)xx b, then a possivalue of (a+b)*(-7i+2j+3k) is