If \( P \) is a point on the Aragand diagram. On the circle with \( O P \) as diameter two point...

Channel:
Subscribers:
447,000
Published on ● Video Link: https://www.youtube.com/watch?v=wvoim7DuU3I



Duration: 8:28
1 views
0


If \( P \) is a point on the Aragand diagram. On the circle with \( O P \) as diameter two points \( Q \) and \( R \) are taken such that \( \angle P O Q \) \( =\angle Q O R=\theta \). If \( O \) is the origin and \( P, Q \) and \( R \) are represented by the complex number \( Z_{1}, Z_{2} \) and \( Z_{3} \) respectively, show that : \( Z_{2}^{2} \cdot \cos 2 \theta=Z_{1} \cdot Z_{3} \cos ^{2} \theta \).
πŸ“²PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2023-07-03Let \( O \) be the origin and \( A \) be the point \( z_{1}=1+2 i \). If \( B \) is the point \(...
2023-07-03For \( n \in N \) let \( S_{n}=\left\{z \in C:|z-3+2 i|=\frac{n}{4}\right\} \) and \[ T_{n}=\lef...
2023-07-03Let \( S_{1}, S_{2} \) and \( S_{3} \) be three sets defined as \[ \begin{array}{l} S_{1}=\{z \i...
2023-07-03Let \( A=\{z \in C: 1 \leq|z-(1+i)| \leq 2\} \) and \( B=\{z \in A: \mid \) \( z-(1-i) \mid=1\} ...
2023-07-03The cube roots of unity when represented on Argand diagram form the vertices of an equilateral t...
2023-07-03Let \( S=z \in C:|z-3| \leq 1 \) and \( z(4+3 i)+\bar{z}(4-3 i) \leq 24 \). If \( \alpha+i \beta...
2023-07-03The area of the triangle with vertices \( A(z), B(i z) \) and \( C(z+ \) \( i z) \) is : (a) \( ...
2023-07-03On the Argand plane \( z_{1}, z_{2} \) and \( z_{3} \) are respectively the vertices of an isosc...
2023-07-03Let \( \mathrm{z} \) be those complex numbers which satisfy \( |z+5| \leq 4 \) and \( z(1+i)+\ba...
2023-07-03Show that all roots of the equation \( a_{0} z^{n}+a_{1} z^{n-1}+\ldots+a_{n-1} z \) \( +a_{n}=n...
2023-07-03If \( P \) is a point on the Aragand diagram. On the circle with \( O P \) as diameter two point...
2023-07-03\( z_{1}, z_{2} \) and \( z_{3} \) are three non-zero complex numbers such that \( z_{1} \neq z_...
2023-07-03If \( z_{1} \) and \( z_{2} \) are two complex number and if \( \arg \frac{z_{1}+z_{2}}{z_{1}-z_...
2023-07-03Let \( A \equiv z_{1} ; B \equiv z_{2} ; C \equiv z_{3} \) are three complex numbers denoting th...
2023-07-03Let \( z_{1}, z_{2}, z_{3} \) are three pair wise distinct complex numbers and \( t_{1}, t_{2}, ...
2023-07-03Given, \( z=\cos \frac{2 \pi}{2 n+1}+i \sin \frac{2 \pi}{2 n+1} \), \( n \) a positive integer...
2023-07-03The points \( A, B, C \) represent the complex numbers \( z_{1}, z_{2}, z_{3} \) respectively on...
2023-07-03A particle starts to travel from a point \( P \) on the curve \( C_{1} \) : \( |z-3-4 i|=5 \), w...
2023-07-03\( \omega_{1}, \omega_{2}, \ldots, \omega_{n} \) be complex numbers. A line \( L \) in the argan...
2023-07-03If \( \omega \) is the imaginary cube root of unity, then find the number of pairs of integers \...
2023-07-03If \( \mathrm{z} \in C \), then the locus of \( z \) on an Argand diagram is \begin{tabular}{|l|...