If `A=(5+i)` then find `|A|`

If x=(1)/(2)(5-3i), then find the value of x^(4)-x^(3)-12x^(2)+23x+12

If the maximum value of |3z+9-7i| if |z+2-i|=5 is 5K, then find k

If z_(1) = 6 + 9i and z_(2) = 5 + 2i then find z_(1)/z_(2)

if z= 1 +i, z_(2)= 2 -3i and z_(3) = 5+ 2i then find z_(1)-z_(2)+3z_(3)

If one vertices of the triangle having maximum area that can be inscribed in the circle |z-i| = 5 is 3-3i, then find the other verticles of the traingle.

If A={x:x inW,xle2},B={x:x inN,1ltxlt5 and C={3,5} , then find (i) Axx(BnnC) (ii) Axx(BuuC)

If z = (sqrt(5)+3i) , find z^(-1) .

If z_(1)=3 -2i ,z_(2) = 2-i and z_(3) = 2+ 5i then find z_(1) + z_(2) - 2z_(3)

If z_1=3−2i,z_2=2−i and z_3=2+5i then find z_1+z_2−3z_3

A=[{:(1,3),(2,1):}] satisfy the equation A^2-kA-5I=0 , then find k and also A^(-1) .