If \( (x+i y)=\frac{a+i b}{a-i b} \), prove that \( x^{2}+y^{2}=1 \).

Channel:
PW Solutions
Subscribers:
443,000
Published on ● Video Link: https://www.youtube.com/watch?v=cQpSP4NmARc


Duration: 4:54
16 views
0

If \( (x+i y)=\frac{a+i b}{a-i b} \), prove that \( x^{2}+y^{2}=1 \).
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2022-10-26Find the real values of \( x \) and \( y \) for which: \[ x+4 y i=i x+y+3 \]
2022-10-26Name the wastes which are generated in your house daily. What measures would you take for their d...
2022-10-26Prove that \( (x+1+i)(x+1-i)(x-1+i)(x-1-i)=\left(x^{4}+4\right) \).
2022-10-26Locate √(5), √(10) and √(17) on the number line.
2022-10-26\( 3^{n} \geq 2^{n} \)
2022-10-26\( \frac{1}{2 \cdot 5}+\frac{1}{5 \cdot 8}+\frac{1}{8 \cdot 11}+\ldots+\frac{1}{(3 n-1)(3 n+2)}=...
2022-10-26Find the smallest positive integer \( n \) for which \( (1+i)^{2 n}=(1-i)^{2 n} \).
2022-10-26The product √(2)·√(2)·√(32) equals (A) √(2) (B) 2 (C) √(2) (D) √(32)
2022-10-26\( \left(3^{2 n+2}-8 n-9\right) \) is divisible by 8 .
2022-10-26Show that \( (1-i)^{n}\left(1-\frac{1}{i}\right)^{n}=2^{n} \) for all \( n \in N \).
2022-10-26If \( (x+i y)=\frac{a+i b}{a-i b} \), prove that \( x^{2}+y^{2}=1 \).
2022-10-26Represent the following numbers on the number line: 7.7 .2, -3/2, -12/5
2022-10-26Describe the process of urine formation in kidneys.
2022-10-26\( \left(1+\frac{3}{1}\right)\left(1+\frac{5}{4}\right)\left(1+\frac{7}{9}\right) \ldots\left\{1...
2022-10-26Explain the given reactions with the examples (a) Hydrogenation reaction (b) Oxidation reaction (...
2022-10-26Excessive exposure of humans to U  V-rays results in (i) damage to immune system (ii) damage to l...
2022-10-26\( \frac{1}{1 \cdot 4}+\frac{1}{4 \cdot 7}+\frac{1}{7 \cdot 10}+\ldots+\frac{1}{(3 n-2)(3 n+1)}=...
2022-10-26How do carbohydrates, proteins and fats get digested in human beings?
2022-10-26The filtration units of kidneys are called (a) ureter (b) urethra (c) neurons
2022-10-26Draw the diagram of alimentary canal of man and label the following parts. Mouth, Oesophagus, Sto...
2022-10-26\( 1+3+3^{2}+3^{3}+\ldots+3^{n-1}=\frac{1}{2}\left(3^{n}-1\right) \)


Tags:
pw