JEE Delight | Geometry of Complex numbers | Triangles & Quadrilaterals | Selected #6 solved examples

JEE Delight | Geometry of Complex numbers | Triangles & Quadrilaterals | Selected #6 solved examples

00:00 #SE1: If the area of the triangle on the complex plane formed by z, iz and z+iz is 50, then |z| is

01:24 #SE2: The points A, B and C depict the complex numbers z1, z2 and z3 respectively on a complex plane and the angle B and C is triangle are 1/2(pi-a) each. Show that (z2-z3)^2=4sin^2(a/2)(z3-z1)(z1-z2)

06:10 #SE3: If z1, z2, z3 and z4 are the vertices of a square in order then which of the following are true (z1-z3)/(z2-z4) is imaginary?

08:29 #SE4: Suppose z1+z2+z3+z4=0 and |z1|=|z2|=|z3|=|z4|=1. If z1, z2, z3 and z4 are vertices of a quadrilateral, then the quadrilateral must be?

12:18 #SE5: Let z1, z2, z3 and z4 be the vertices A, B, C and D respectively for a square on the argand diagram, then prove that: 2z2=(1+i)z1+(1-i)z3

14:31 #SE6: Prove that the roots of the equation 1/z-z1+1/z-z2+1/z-z3=0 where z1, z2 and z3 are pairwise distinct complex numbers, corresponds to points on a complex plane which lie inside a triangle with vertices z1, z2 and z3 or on its sides. Support the channel:

[lakshakumarlariya]

Sir, your channel is best for clearing concepts

[zernnavier]

Sir Can you recommend a best books to refer Conical Sections.
I am an aerospace engineering student in orbital mechanics we need thorough understanding of conic sections.

[Algoner]

Sir At 12:16. why can't it be square

[borundiaspeaks]

sir bmath 2011 subjective, please before 18th of JULY

[Algoner]

Sir At 12:16. why can't it be square