Let \( z_{1}, z_{2}, z_{3} \) be non-zero complex numbers satisfying the equation \( z^{4}=i z \...

Channel:
Subscribers:
449,000
Published on ● Video Link: https://www.youtube.com/watch?v=VoiK88J4t_w



Duration: 14:29
3 views
0


Let \( z_{1}, z_{2}, z_{3} \) be non-zero complex numbers satisfying the equation \( z^{4}=i z \).
Which of the following statement(s) is/are correct?
(W)
(A) The complex number having least positive argument is \( \left(\frac{\sqrt{3}}{2}, \frac{1}{2}\right) \).
(B) \( \sum_{\mathrm{k}=1}^{3} \operatorname{Amp}\left(\mathrm{z}_{\mathrm{k}}\right)=\frac{\pi}{2} \)
(C) Centroid of the triangle formed by \( z_{1}, z_{2} \) and \( z_{3} \) is \( \left(\frac{1}{\sqrt{3}}, \frac{-1}{3}\right) \)
(D) Area of triangle formed by \( z_{1}, z_{2} \) and \( z_{3} \) is \( \frac{3 \sqrt{3}}{2} \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2022-12-01A fair die is tossed eight times. Probability that on the eighth throw a third six is observed i...
2022-12-01Mean of \( n \) times is \( \bar{x} \). If these \( x \) items are successively increased by \( ...
2022-12-01Locus of trisection point of any double ordinate of \( y^{2}=4 a x \) is (A) \( 3 y^{2}=4 a x \)...
2022-12-01A speaks the truth in \( 70 \% \) cases and \( B \) speaks the truth in \( 80 \% \) cases. The p...
2022-12-01Geometric mean of \( 1,2,2^{2}, 2^{3}, \ldots \ldots, 2^{n} \) is : (A) \( 2^{\frac{2}{n}} \) (B...
2022-12-01Error While Mathpix
2022-12-01A.M. of \( C_{0}, 2 C_{1}, 3 C_{2}, \ldots,(n+1) C_{n} \), where \( (1+x)^{n}=C_{0}+C_{1} x+C_{2...
2022-12-01The set \( \left\{x: x^{2} \neq x\right\} \) may be equal to (A) \( \{0\} \) (B) \( \{1\} \) (C)...
2022-12-01The set \( \left\{x: x^{2} \neq x\right\} \) may be equal to (A) \( \{0\} \) (B) \( \{1\} \) (C)...
2022-12-01If \( x=\frac{(7+5 \sqrt{2})^{\frac{1}{3}}}{2+2 \sqrt{2}} \), then \( x \) belongs to: (A) \( (2...
2022-12-01Let \( z_{1}, z_{2}, z_{3} \) be non-zero complex numbers satisfying the equation \( z^{4}=i z \...
2022-12-01Let \( A=\left\{(x, y) \mid y=e^{x}, x \in R\right\} \) and \( B=\left\{(x, y) \mid=e^{-x}, x \i...
2022-12-01The locii of a point \( \mathrm{P}(\mathrm{z}) \) in the complex plane satisfying the \( \left|\...
2022-12-01If an \( =\{a x: x \in N\} \), then \( 3 N \cap 7 N= \) (A) \( 3 \mathrm{~N} \) (B) \( 7 \mathrm...
2022-12-01The \( \mathrm{x} \)-coordinate of the incentre of the triangle that has the coordinates of mid ...
2022-12-01Which are the routes that can prepare quinol \( P \) (A) \( \stackrel{\mathrm{O} 2^{I} \Delta}{\...
2022-12-01Consider the polynomial \( \mathrm{P}(\mathrm{x})=\left(\mathrm{x}-\cos 36^{\circ}\right)\left(\...
2022-12-01Let \( f(\mathrm{x})=\sin ^{2} \mathrm{x}-(\mathrm{a}-1) \sin \mathrm{x}+2(\mathrm{a}-3) \) \( \...
2022-12-01How many total stable acyclic structure isomers are possible with molecular formula \( \mathrm{C...
2022-12-01The number of acyclic isomers of \( \mathrm{C}_{3} \mathrm{H}_{5} \mathrm{Cl} \) are : (A) 1 (B)...
2022-12-01Which of the following IUPAC names are correct. (A) (B) P W. 3-Ethyl-1,1-dimethylcyclohexane 1-E...