Home
Class 12
MATHS
If x+iy=sqrt((a+ib)/(c+id)), prove that ...

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

Text Solution

Verified by Experts

The correct Answer is:
` rArr (x^(2) + y^(2)) = (a^(2) + b^(2))/(c^(2) + a^(2))`
Promotional Banner

Similar Questions

Explore conceptually related problems

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)) then prove that x^(2)+y^(2)=(a^(2)+b^(2))/(c^(2)+d^(2))

If x+iy=sqrt((1+i)/(1-i)), prove that x^(2)+y^(2)=1

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

If x+iy=(a+ib)/(a-ib) prove that x^(2)+y^(2)=1

If x+iy=(a+ib)/(a-ib) prove that x^(2)+y^(2)=1

If x+iy=(a+ib)/(a-ib) prove that x^2+y^2=1

If x+iy=sqrt((a+ib)/(c+id)), then write the value of (x^(2)+y^(2))^(2)

If (a+ib)/(c+id)=x+iy , show that: x^(2)+y^(2)=(a^(2)+b^(2))/(c^(2)+d^(2)) .

x + iy = (a + ib) / (a-ib), provethat x ^ (2) + y ^ (2) = 1