If \( z_{1} \) and \( z_{2} \) be non zero complex numbers satisfying the equation \( z_{1}^{2}-... VIDEO
If \( z_{1} \) and \( z_{2} \) be non zero complex numbers satisfying the equation \( z_{1}^{2}-2 z_{1} z_{2}+2 z_{2}^{2}=0 \), then find the geometrical nature of the triangle whose vertices are the origin and the points representing \( z_{1} \) and \( z_{2} \)
(a) an isosceles right angled triangle
(b) equilateral triangle
(c) non- isosceles right angled triangle
(d) scalan triangle
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2023-07-03 If \( z_{1}=a+\mathrm{ib} \) and \( z_{2}=c+\mathrm{id} \) two complex numbers lying on the circ... 2023-07-03 Suppose \( A\left(z_{1}\right), B\left(z_{2}\right) \) and \( C\left(z_{3}\right) \) are vertice... 2023-07-03 Comprehension- \( \quad \) Aregular heptagon (seven sides) is inscribed in a circle of radius 1 ... 2023-07-03 Comprehension
In an argand plane \( z_{1}, z_{2} \) and \( z_{3} \) are resepectively the vertic... 2023-07-03 If \( 1, \alpha_{1}, \alpha_{2} \ldots \ldots, \alpha_{2008} \) are \( (2009)^{\text {th }} \) r... 2023-07-03 The reflection of the complex number \( \frac{2+i}{3-i} \) in the straight line \( z(1+i)=\bar{z... 2023-07-03 If \( \left|\frac{z-\alpha}{z-\beta}\right|=k, k0 \) where, \( z=x+i y \) and \( \alpha=\alpha_{... 2023-07-03 Let \( a, b, c \) be distinct complex numbers with \( |a|=|b|=|c|=1 \) and \( z_{1}, z_{2} \) be... 2023-07-03 Let \( z_{1} \), and \( z_{2} \) be roots of the equation \( z^{2}+8(i-1) z+63-16 i \) \( =0 \) ... 2023-07-03 Let \( C_{1} \) and \( C_{2} \) are concentric circles of radius 1 and \( 8 / 3 \) respectively ... 2023-07-03 If \( z_{1} \) and \( z_{2} \) be non zero complex numbers satisfying the equation \( z_{1}^{2}-... 2023-07-03 If the points \( A(z), B(-z), C(1-z) \) are the vertices of an equilateral triangle \( \mathrm{A... 2023-07-03 Let \( P \) denotes a complex number \( z \) on the Argands plane, and \( Q \) denotes a complex... 2023-07-03 Let a be a complex number such that \( |a|1 \) and \( z_{1}, z_{2}, z_{3} \), ... be the vertice... 2023-07-03 Which of the following represents a point on an argands plane, equidistant from the roots of the... 2023-07-03 Let \( z_{1}, z_{2} \) and \( z_{3} \) represent the vertices \( A, B \) and \( C \) of the tria... 2023-07-03 Let the complex number \( z_{1}, z_{2}, z_{3} \) represents vertices of an equilateral triangle.... 2023-07-03 Let \( z_{1}=10+6 i \) and \( z_{2}=4+6 i \). Then prove that all the complex number satisfying ... 2023-07-03 Prove that all roots of the equation \( \left(\frac{z+1}{z}\right)^{n}=1 \) are collinear on the... 2023-07-03 If \( \alpha=e^{i\left(\frac{2 \pi}{7}\right)} \), then form a quadratic equation whose roots ar... 2023-07-03 If \( { }_{1}, z_{2}, z_{3} \) be three distinct complex numbers satisfying \( \left|z_{1}-1\rig...