If \( z_{1}, z_{2}, z_{3} \) are the vertices of an equilateral triangle
\( P \)
\( \mathrm{ABC}.... VIDEO
If \( z_{1}, z_{2}, z_{3} \) are the vertices of an equilateral triangle
\( P \)
\( \mathrm{ABC} \) such that \( \left|z_{1}-i\right|=\left|z_{2}-i\right|=\left|z_{3}-i\right| \), then
W
\( \left|z_{1}+z_{2}+z_{3}\right| \) equals to
(1) \( 3 \sqrt{3} \)
(2) \( \sqrt{3} \)
(3) 3
(4) \( \frac{1}{3 \sqrt{3}} \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2024-01-23 If the roots of \( z^{3}+a z^{2}+b z+c=0, a, b, c \in C \) (set of
complex numbers) acts as the .... 2024-01-23 If the point represented by complex number
\( z_{1}=a+i b, z_{2}=c+i d( \) where \( i=\sqrt{-1}).... 2024-01-23 The centre of the circle represented by
\( |z+1|=2|z-1| \) on the complex plane is.... 2024-01-23 Reflection of the line \( \bar{a} z+a \bar{z}=0 \) in the real axis is.... 2024-01-23 If the vertices of a triangle are \( 8+5 i,-3+i,-2-3 i \),
the modulus and the argument of the c.... 2024-01-23 The point of intersection of the curves \( \arg (z-3 i)= \)
\( 3 \pi / 4 \) and \( \arg (2 z+1-2.... 2024-01-23 If the following regions in the complex plane, the only
one that does not represent a circle is.... 2024-01-23 If \( z \) lies on the circle \( |z-1|=1 \), then \( \frac{z-2}{z} \) equals.... 2024-01-23 If the point \( z, i z \) and 1 are collinear, then \( z \) lies on.... 2024-01-23 For complex numbers \( z_{1}, z_{2} \) and \( z \) satisfying
\( \frac{z_{1}-z_{3}}{z_{2}-z_{3}}.... 2024-01-23 If \( z_{1}, z_{2}, z_{3} \) are the vertices of an equilateral triangle
\( P \)
\( \mathrm{ABC}.... 2024-01-23 Match the following lists:
\begin{tabular}{|l|l|c|c|}
\hline \multicolumn{1}{|c|}{ List-I } & \m.... 2024-01-23 If the ellipse \( x^{2}+k^{2} y^{2}=k^{2} a^{2} \) is confocal with the hyperbola \( x^{2}-y^{2}.... 2024-01-23 If centre of a regular hexagon is at origin and one of
the vertices on argand diagram is \( 1+2 .... 2024-01-23 Total number of common tangents of \( y^{2}=4 a x \) and
\( x y=c^{2} \) is /are.... 2024-01-23 Match the following lists:
\begin{tabular}{|c|c|c|c|}
\hline \multicolumn{2}{|r|}{ List-I } & \m.... 2024-01-23 If the angle between the asymptotes of hyperbola
\( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 \).... 2024-01-23 The number of pairs of perpendicular tangents of the
hyperbola \( 3 x^{2}-6 x-2 y^{2}+4 y-23=0 \.... 2024-01-23 If the product of the length of perpendiculars drawn
from any point on the hyperbola \( x^{2}-2 .... 2024-01-23 If \( e \) is the eccentricity of the hyperbola \( (5 x-10)^{2}+ \)
\( (5 y+15)^{2}=(12 x-5 y+1).... 2024-01-23 Let the foci of the hyperbola \( \frac{x^{2}}{A^{2}}-\frac{y^{2}}{B^{2}}=1 \) be the vertices of....