If centre of a regular hexagon is at origin and one of the vertex on argand diagram is \( 1+2 i ... VIDEO
If centre of a regular hexagon is at origin and one of the vertex on argand diagram is \( 1+2 i \), where \( i=\sqrt{-1} \), its perimeter is
(a) \( 2 \sqrt{5} \)
(b) \( 6 \sqrt{2} \)
(c) \( 4 \sqrt{5} \)
(d) \( 6 \sqrt{5} \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2022-10-27 Let \( C \) denotes the set of complex numbers and \( R \) is the set of real numbers. If the fu... 2022-10-27 If \( \alpha=\cos \left(\frac{8 \pi}{11}\right)+i \sin \left(\frac{8 \pi}{11}\right) \), where \... 2022-10-27 If \( z \) and \( \bar{z} \) represent adjacent vertices of a regular polygon of \( n \) sides w... 2022-10-27 If \( z=\frac{\sqrt{3}-i}{2} \), where \( i=\sqrt{-1} \), then \( \left(i^{101}+z^{101}\right)^{... 2022-10-27 If \( \left|z-\frac{4}{z}\right|=2 \), the greatest value of \( |z| \) is
(a) \( \sqrt{5}-1 \)
(... 2022-10-27 If \( (3+i)(z+\bar{z})-(2+i)(z-\bar{z})+14 i=0 \), where \( i=\sqrt{-1} \), then \( z \bar{z} \)... 2022-10-27 If \( \prod_{p=1}^{r} e^{i p \theta}=1 \), where \( \Pi \) denotes the continued product and \( ... 2022-10-27 If \( \cos (1-i)=a+i b \), where \( a, b \in R \) and \( i=\sqrt{-1} \), then
(a) \( a=\frac{1}{... 2022-10-27 Number of roots of the equation \( z^{10}-z^{5}-992=0 \), where real parts are negative, is
(a) ... 2022-10-27 If \( |z|=2 \), the points representing the complex numbers \( -1+5 z \) will lie on
(a) a circl... 2022-10-27 If centre of a regular hexagon is at origin and one of the vertex on argand diagram is \( 1+2 i ... 2022-10-27 If \( a \) and \( b \) are real numbers between 0 and 1 , such that the points \( z_{1}=a+i, z_{... 2022-10-27 If \( z \) is a complex number in the argand plane, the equation \( |z-2|+|z+2|=8 \) represents
... 2022-10-27 If \( |z-2| /|z-3|=2 \) represents a circle, then its radius is equal to
(a) 1
(b) \( \frac{1}{3... 2022-10-27 If \( z, i z \) and \( z+i z \) are the vertices of a triangle whose area is 2 units, the value ... 2022-10-27 The least positive integer \( n \) for which \( \left(\frac{1+i}{1-i}\right)^{n}=\frac{2}{\pi}\l... 2022-10-27 The value of \( \sum_{k=1}^{6}\left(\sin \left(\frac{2 \pi k}{7}\right)-i \cos \left(\frac{2 \pi... 2022-10-27 If \( 1, \alpha_{1}, \alpha_{2}, \alpha_{3}, \ldots, \alpha_{n-1} \) are \( n, n \)th roots of u... 2022-10-27 If \( \alpha \) and \( \beta \) are two different complex numbers with \( |\beta|=1 \), then \( ... 2022-10-27 The complex numbers \( \sin x+i \cos 2 x \) and \( \cos x-i \sin 2 x \), where \( i=\sqrt{-1} \)... 2022-10-27 If \( z_{1}, z_{2}, z_{3}, \ldots, z_{n} \) are \( n, n \)th roots of unity, then for \( k=1,2,3...