The number of complex numbers \( z \) such that \( (1+i) z \) \( =i|z| \)....
The number of complex numbers \( z \) such that \( (1+i) z \) \( =i|z| \)
\( \mathrm{P} \)
(1) 0
(2) 1
(3) 2
(4) infinite
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
| 2024-01-22 | If \( z=x+i y \) and \( 0 \leq \sin ^{-1}\left(\frac{z-4}{2 i}\right) \leq \frac{\pi}{2} \) then.... |
| 2024-01-22 | If \( \left|z_{1}\right|=\left|z_{2}\right|=1, z_{1} z_{2} \neq-1 \) and \( z=\frac{z_{1}+z_{2}}.... |
| 2024-01-22 | A positive integer \( n \leq 5 \) such that
\( \int_{0}^{1} e^{2 x-1}(x-1)^{n} d x=\frac{1}{4}\l.... |
| 2024-01-22 | If \( x, y, a, b \in R, a \neq 0 \) and \( (a+i b)(x+i y)=\left(a^{2}+b^{2}\right) \)
\( i \), t.... |
| 2024-01-22 | Let \( z \in C \) be such that \( \operatorname{Re}\left(z^{2}\right)=0 \), then.... |
| 2024-01-22 | One particle is projected from ground upwards with velocity \( 20 \mathrm{~ms}^{-1} \). At the s.... |
| 2024-01-22 | A particle of mass \( 1 \mathrm{~kg} \) is projected with velocity
\( 20 \sqrt{2} \mathrm{~m} / .... |
| 2024-01-22 | If \( x+i y=\sqrt{\frac{a+i b}{c+i d}} \), then \( \left(x^{2}+y^{2}\right)^{2}\left(c^{2}+d^{2}.... |
| 2024-01-22 | If \( |z| \geq 5 \), then least value of \( \left|z-\frac{1}{z}\right| \) is.... |
| 2024-01-22 | The number of Solution of \( z^{2}+|z|=0 \) is.... |
| 2024-01-22 | The number of complex numbers \( z \) such that \( (1+i) z \) \( =i|z| \).... |
| 2024-01-22 | A semi-circular ring has mass \( \mathrm{m} \) and radius \( \mathrm{R} \) as shown in figure. L.... |
| 2024-01-22 | From a circular disc of radius \( R \) and mass \( 9 \mathrm{M} \), a small disc of radius \( \f.... |
| 2024-01-22 | Match Column-I with Column-II
\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{2}{|c|}{ Column-I }.... |
| 2024-01-22 | Centre of mass of a system is a unique point which is very helpful in solving the problems relat.... |
| 2024-01-22 | Two bodies have their moment of inertia \( I \) and \( 2 I \) respectively about their axis of r.... |
| 2024-01-22 | The position of a particle is given by \( \vec{r}=\hat{i}+2 \hat{j}-\hat{k} \)
and its linear mo.... |
| 2024-01-22 | The instantaneous angular position of a point on a rotating wheel is given by the
equation \( \t.... |
| 2024-01-22 | Match the columns
\begin{tabular}{|c|l|c|l|}
\hline & \multicolumn{1}{|c|}{ Column I } & & \mult.... |
| 2024-01-22 | Assertion: The centre of mass of an electron and
proton, when released moves faster towards prot.... |
| 2024-01-22 | Match the Columns
\begin{tabular}{|l|l|l|l|}
\hline & \multicolumn{1}{|c|}{ Column I } & & \mult.... |
0