The number of complex numbers satisfying \( |z+2|+|z-2| \) \( =8 \) and \( |z-1|+|z+1|=2 \) is (...

Channel:
Subscribers:
447,000
Published on ● Video Link: https://www.youtube.com/watch?v=89rRReHbqQc



Duration: 6:39
3 views
0


The number of complex numbers satisfying \( |z+2|+|z-2| \) \( =8 \) and \( |z-1|+|z+1|=2 \) is
(a) 4
(b) 2
(c) 0
(d) 6
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2023-07-03If \( |\mathrm{z}|=1 \) and \( \mathrm{z}-1=\mathrm{ik}(\mathrm{z}+1) \), then find range of \( ...
2023-07-03Find the sum of the series. \( \cos \theta+\cos 2 \theta+\cos 3 \theta+\ldots+\cos n \theta \) f...
2023-07-03The least positive integer \( n \) for which \( \left(\frac{1+i}{1-i}\right)^{n}=\frac{2}{\pi} \...
2023-07-03Let \( z_{1} \neq z_{2} \) are two points in the argand plane. If \( a\left|z_{1}\right|=b\left|...
2023-07-03If \( Z_{r} ; r=1,2,3, \ldots, 50 \) are the roots of the equation \( \sum_{r=0}^{50}(Z)^{r}=0 \...
2023-07-03Let \( z_{1} \neq z_{2} \) are two points in the argand plane. If \( a\left|z_{1}\right|=b\left|...
2023-07-03If \( x^{2}-x+1=0, \sum_{n=1}^{5}\left(x^{n}+\frac{1}{x^{n}}\right)^{2} \) equal (a) 8 (b) 10 (c...
2023-07-03If \( \alpha=\cos \left(\frac{8 \pi}{11}\right)+i \sin \left(\frac{8 \pi}{11}\right) \) then \( ...
2023-07-03Let \( A\left(z_{1}\right), A_{2}\left(\bar{z}_{1}\right) \) are the adjacent vertices of a regu...
2023-07-03If \( x_{n}=\cos \frac{\pi}{2^{n}}+i \sin \frac{\pi}{2^{n}} \), then \( x_{1} x_{2} x_{3} \ldots...
2023-07-03The number of complex numbers satisfying \( |z+2|+|z-2| \) \( =8 \) and \( |z-1|+|z+1|=2 \) is (...
2023-07-03If one root of the equation \( a x^{2}+b x+c=0 \) is equal to \( n^{\text {th }} \) power of the...
2023-07-03If \( (2+i)(2+2 i)(2+3 i) \ldots(2+n i)=x+i y \), then the value of 5.8.13... \( \left(4+n^{2}\r...
2023-07-03The complex number \( \omega \) satisfying the equation \( \omega^{3}=8 \mathrm{i} \) and lying ...
2023-07-03The equation \( x^{\frac{3}{4}\left(\log _{2} x\right)^{2}+\log _{2} x-\frac{5}{4}}=\sqrt{2} \) ...
2023-07-03Which of the following is equal to \( \sqrt[3]{-1} \) ? (a) \( \frac{\sqrt{3}+\sqrt{-1}}{2} \) (...
2023-07-03If \( |z-\mathrm{i} \operatorname{Re}(z)|=|z-\operatorname{lm}(z)| \), then (a) \( \operatorname...
2023-07-03If \( |z-i| \leq 2 \) and \( z_{0}=5+3 i \) then the maximum value of \( \mid i z \) \( +z_{0} \...
2023-07-03If the sum of all the roots of the equation \( e^{2 x}-11 e^{x}-45 e^{-x}+ \) \( \frac{81}{2}=0 ...
2023-07-03The largest interval for which \( x^{12}-x^{9}+x^{4}-x+10 \) is (a) \( -4x \leq 0 \) (b) \( 0x1 ...
2023-07-03Let \( \alpha, \beta \) be the roots of the equation \( x^{2}-4 \lambda x+5=0 \) and \( \alpha \...