Consider the two complex numbers \( z \) and \( w \), such that \( ... VIDEO
Consider the two complex numbers \( z \) and \( w \), such that \( w=\frac{z-1}{z+2}=a+i b \), where \( a, b \in R \) and \( i=\sqrt{-1} \).
\( \mathrm{P} \) Which of the following is the value of \( -\frac{b}{a} \), whenever it
W exists?
(a) \( 3 \tan \left(\frac{\theta}{2}\right) \)
(b) \( \frac{1}{3} \tan \left(\frac{\theta}{2}\right) \)
(c) \( -\frac{1}{3} \cot \theta \)
(d) \( 3 \cot \frac{\theta}{2} \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2023-02-16 The roots \( z_{1}, z_{2} \) and \( z_{3} \) of the equation \( x^{... 2023-02-16 Show that if \( a \) and \( b \) are real, then the principal value... 2023-02-16 Sum of four consecutive powers of \( i \) (iota) is zero.
i.e., \( ... 2023-02-16 If \( 1, \alpha_{1}, \alpha_{2}, \alpha_{3} \) and \( \alpha_{4} \)... 2023-02-16 If \( z_{1} \) and \( z_{2} \) both satisfy the relation \( z+\bar{... 2023-02-16 A small spherical monoatomic ideal gas bubble \( (\gamma=5 / 3) \) ... 2023-02-16 The number of values of \( z \) (real or complex) simultaneously sa... 2023-02-16 In the reaction \( \mathrm{M}+\mathrm{O}_{2} \longrightarrow \mathr... 2023-02-16 A container of width \( 2 a \) is filled with a liquid. A thin wire... 2023-02-16 Identify the correct statement -
\( \mathrm{P} \)
(A) Gypsum contai... 2023-02-16 Consider the two complex numbers \( z \) and \( w \), such that \( ... 2023-02-16 Which of the following statements are correct about sulphur hexafluoride?
(a) all S - F bonds ar... 2023-02-16 Alum is the name used for all double salts having the composition \... 2023-02-16 For any two complex numbers \( z_{1} \) and \( z_{2} \), \( \left|z... 2023-02-16 Consider the following two molecules and according to the given information select cr statement(... 2023-02-16 Column I describes some situations in which a small object moves. C... 2023-02-16 Only those elements of s-block can produce superoxides which have :... 2023-02-16 A point particle of mass \( M \) attached to one end of a massless ... 2023-02-16 If \( z^{3}+(3+2 i) z+(-1+i a)=0 \), where \( i=\sqrt{-1} \), has o... 2023-02-16 Consider the two complex numbers \( z \) and \( w \), such that \( ... 2023-02-16 When \( \mathrm{Na} \) and \( \mathrm{Li} \) placed in dry air we g...