Home
Class 11
MATHS
If x+iy = (a+ib)/(a-ib), prove that x^(2...

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

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Similar Questions

Explore conceptually related problems

If x+iy = (a+ib)/aib .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))

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

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

If a+ib =(x+i)^(2)/(2x^(2)+1) , prove that a^(2) + b^(2) =(x^(2)+1)^(2)/(2x^(2) +1)^(2) .

If a+ib =(x+i)^(2)/(2x^(2)+1) , prove that a^(2) + b^(2) =(x^(2)+1)^(2)/(2x^(2) +1)^(2) .

If a+ib = (x+i)^(2)/(2x^(2)+1) , prove that a^(2) + b^(2) = (x^(2)+1)^(2)/(2x^(2) + 1)^(2)

If x=r cos theta, y=r sin theta Prove that x^(2)+y^(2)=r^(2)

If y^(x) = e^(y -x) , prove that (dy)/(dx) = ((1 + log y)^2)/(log y) .