Home
Class 11
MATHS
If x - i y =sqrt((a-i b)/(c-i d))prove t...

If `x - i y =sqrt((a-i b)/(c-i d))`prove that `x^2+y^2=(a^2+b^2)/(c^2+d^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((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))^(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)), prove that (x^(2_(y)^(2)))^(2)=(a^(2)+b^(2))/(c^(2)+d^(2))

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

Solve: a^2x+b^2y=c^2; b^2x+a^2y=d^2

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