If x+i y=sqrt((a+i b)/(c+i d)) then (x^(...

If `x+i y=sqrt((a+i b)/(c+i d))` then `(x^(2)+y^(2))^(2)=`

A

`(a^2+b^2)/(c^2+d^2)`

B

`sqrt((a^2+b^2)/(c^2+d^2))`

C

`((a^2+b^2)/(c^2+d^2))`

D

`((c+b)/(c+d))^2`

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

(i) If x-iy = sqrt((a-ib)/(c-id)) prove that (x^(2) + y^(2)) =(a^(2) + b^(2))/(c^(2) + d^(2))

If x-iy = sqrt((a+ib)/(c-id)) , prove that (x^(2) + y^(2))^(2) = (a^(2) + b^(2))/(c^(2) + d^(2))

If x + iy = sqrt((a + ib)/(c + id)) Prove that x^(2) + y^(2) = sqrt(( a^(2) + b^(2))/(c^(2) + d^(2)))

If a+i b=c+i d , then

If sqrt(3)+i=(a+i b)(c+i d) then tan ^(-1) (b/a)+tan ^(-1) (d/c)=

If y=(x+sqrt(1+x^(2)))^(n) , then (1+x^(2))(d^(2)y)/(dx^(2))+x(dy)/(dx) is

If x+iy=(2+i)/(2-i) then prove taht x^(2)+y^(2)=1

If x+i y=(1)/(1+cos theta+i sin theta) then x^(2)

If x+i y=(-1+i sqrt(3))^(2010) , then x=

If (sqrt(3)+i)^(100)=2^(99)(a+i b) then a^(2)+b^(2)=