Let the complex number \(z=x+i y\) be such that \(\frac{2 z-3 i}{2 z+i}\) is purely imaginary. I....

Channel:
Subscribers:
445,000
Published on ● Video Link: https://www.youtube.com/watch?v=RTx5nOddDcE



Duration: 6:43
6 views
0


Let the complex number \(z=x+i y\) be such that \(\frac{2 z-3 i}{2 z+i}\) is purely imaginary. If \(x+y^2=0\), then \(y^4+y^2-y\) is equal to: 📲PW App Link - https://bit.ly/YTAI_PWAP 🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2024-07-29Let T1 and T2  be two distinct common tangents to the ellipse E:x26+y23=1 and the parabola ....
2024-07-29The normal to the hyperbola x2a2-y29=1 at the point (8,33)on it passes through the point ....
2024-07-29A particle is moving in the \(x y\)-plane along a curve \(C\) passing through the point \((3,3)\....
2024-07-29If the minimum area of the triangle formed by a tangent to the ellipse x2b2+y24a2=1 and the coor....
2024-07-29If \(z\) and \(\omega\) are two complex numbers such that \(|z \omega|=1\) and \(\arg (z)-\arg (....
2024-07-29Let \(P\) be a point on the parabola \(y^2=4 a x\), where \(a>0\). The normal to the parabola....
2024-07-29For \(\alpha, \beta, z \in C\) and \(\lambda>1\), if \(\sqrt{\lambda-1}\) is the radius of th....
2024-07-29Let \(C\) be the set of all complex numbers. Let\[\begin{aligned}& S_1=\left\{z \in C \| z-3....
2024-07-29The least positive integer \(n\) such that \(\frac{(2 i)^n}{(1-i)^{n-2}}, i=\sqrt{-1}\), is a po....
2024-07-29Let \(S_1, S_2\) and \(S_3\) be three sets defined as\(S_1=\{z \in C:|z-1| \leq \sqrt{2}\}, S_2=....
2024-07-29Let the complex number \(z=x+i y\) be such that \(\frac{2 z-3 i}{2 z+i}\) is purely imaginary. I....
2024-07-29For \(a \in C\), let \(A=\{z \in C: \operatorname{Re}(a+\bar{z})>\operatorname{Im}(\bar{a}+z)....
2024-07-29Let \(A=\left\{\theta \in(0,2 \pi): \frac{1+2 i \sin \theta}{1-i \sin \theta}\right.\text{ is pu....
2024-07-29Let \(a \neq b\) be two non-zero real numbers.Then the number of elements in the set \(X=\left\{....
2024-07-29Let \(S=\left\{z \in C-\{i, 2 i\}: \frac{z^2+8 i z-15}{z^2-3 i z-2} \in R\right\}\). If \(\alpha....
2024-07-29Let \(a, b\) be two real numbers such that \(a b<0\). If the complex number \(\frac{1+a i}{b+....
2024-07-29The sum of all the roots of the equation \(\left|x^2-8 x+15\right|-2 x\) \(+7=0\) is:....
2024-07-29Let \(S\) be the set of all complex numbers \(z\) satisfying \(\left|z^2+z+1\right|=1\). Then wh....
2024-07-29Let \(z=a+i b, b \neq 0\) be complex numbers satisfying \(z^2=\bar{z} \cdot 2^{1-|z|}\). Then th....
2024-07-29The complex number \(z=\frac{i-1}{\cos \frac{\pi}{3}+i \sin \frac{\pi}{3}}\) is equal to:....
2024-07-29Let the circles \(C_1: x^2+y^2=9\) and \(C_2:(x-3)^2+(y-4)^2=16\), intersect at the points \(X\)....