If `(x-yi)+(a+bi)=2x and i=sqrt(-1)`, then `(x+yi)(a+bi)=`

Select and write the correct answer from the given alternatives in each of the following: If (x + yi) (3 - 4i) = 5 +12i, then sqrt(x^2 + y^2) =

If x=a+bi is a complex number such that x^(2)=3+4i and x^(3)=2+11i, where i=sqrt(-1, then (a+b) equal to )

Perform the indicated operation and give your answer in the form x+yi , where x and y are real numbers and i= sqrt(-1) (5-3i)/(6+i)

If x=a+bi is a complex number such that x^2=3+4i and x^3=2+11i , where i=sqrt-1 , then (a+b) equal to

If x=a+bi is a complex number such that x^2=3+4i and x^3=2+11i , where i=sqrt-1 , then (a+b) equal to

If x=a+bi is a complex number such that x^2=3+4i and x^3=2+11i , where i=sqrt-1 , then (a+b) equal to

Perform the indicated operation and give your answer in the form x+yi , where x and y are real numbers and i= sqrt(-1) (5+2i)/(-1+sqrt3i)

Perform the indicated operation and give your answer in the form x+yi , where x and y are real numbers and i= sqrt(-1) (3+4i)^(-1)

Perform the indicated operation and give your answer in the form x+yi , where x and y are real numbers and i= sqrt(-1) (sqrt5-7i) (sqrt5-7i)^(2) + (-2+ 7i)^(2)

If x- yi = (a-bi)/(c-di) , prove that x^(2) + y^(2)= (a^(2) + b^(2))/(c^(2) + d^(2))