JEE Delight | Geometry of Complex numbers | Lecture 7 | Triangle in a Circle | Selected #7 SE

JEE Delight | Geometry of Complex numbers | Lecture 7 | Triangle in a Circle | Selected #7 SE

00:00 SE#1: A, B and C are the points representing the complex numbers z1, z2 and z3 respectively on the complex plane and the circumcenter of the ABC lies at the origin. If the altitude AD meets the circumcircle again at P, then P represents the complex number

02:39 SE#2: P is a point on the Argand diagram. On the circle OP as diameter two points Q and R are taken such that POQ=QOR. If O is the origin and P, Q, R are represented by z1, z2 and z3 respectively then z2^2cos2q=z1z3cos^2q

05:45 SE#3: where p, q and r are the moduli of non-zero complex numbers u, v and w respectively, prove that arg(w/v)=arg(w-u/v-u)^2

08:28 SE#4: If z lies on the circle centered at origin. If area of the triangle whose vertices are z, wz and z+wz, where w is w is cube root of unity, is 4√3. Then radius of the circle is

10:54 SE#5: Let z1, z2 and z3 be three distinct complex numbers lying on a circle with center at origin such that z1+z2z3, z2+z3z1 and z3+z1z2 are purely real, then z1z2z3 is

13:19 SE#6: Let ABC be a triangle whose circumcenter coincides with the unit circle. Then the circumcenter, centroid and orthocenter are 0, a+b+c/3 and a+b+c respectively

14:34 SE#7: Let Ak (k=1,2,3...n) be the vertices of a regular n-gon inscribed in a unit circle then prove that product |A1Ak|=n Support the channel:

[unstoppablelearner]

Underrated channel.I saw your this is only the problems representative channel in youtube for maths there's a lot for physics

[brown]

I was searching this first question from a long time, after so much scrolling in the result i found this randomly, and heres the question 😂😂

[anirudhsrivatsa]

sir in 1:28 why arent we considering two values of angle there (2alpha and -2alpha)

[its_your_lord]

Why centroid is a b c by 3 and no z1 z2 z3 by 3?

[chiragatreya]

Sir why are we assuming z1 z2 z3 lie on a unit circle?? If it is for convenience how do we know that it will be true for other circles.

This is with reference to example 32

[chandra]

Make videos on arguments, conjugates and modulus also sir

[Algoner]

Sir plzzzz complete the geometry of complex nos by this jee mains plzzz