A-level Mathematics 9709: Argand diagrams and loci

A-level 9709 syllabus, topic 3.9 Complex numbers: Illustrate simple equations and inequalities involving complex numbers by means of loci in an Argand diagram.

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[ThomasCambridgeMaths]

Note to label the horizontal axis "Re(z)" and the vertical axis "Im(z)" (do as I say not as I do... missed it!)

[Abrar_Alek]

Whew, this is probably the third time I've finished this p3 playlist.
Gotta say, its been an honor to have been taught by such a genuinely caring and awesome teacher!

Thank you so much for helping us like this Mr Thomas, really enjoyed the time I've spent here learning from you!

Now its time to ace my exams and I pray to god for your success!

Take care teacher🎆

[AllanLovezGaming]

This is actually one of the best video I has seen. Thank you so much for taking your time out of your day to make this video for us :D

[sethupathys]

Thank you so much for explaining this!

[Kishaarrrrrrr]

Thank you so much for this sir, this really helped a ton 👏🏿

[dushsam]

perfect explanation. Thanks for summarizing the concept

[spookhie]

Just gained yourself a new subscriber...thanks for the help

[superdudeyang]

For the half-line (ray), I believe the origin of the half-line should be an open circle because the point itself has an undefined argument. If you substitute that point into the equation, you will get arg(0) = 4pi/3, which doesn't make sense. Just clearing something up haha.

[lin]

you saved me bro, best video ever. Thx a lot : )

[saranaeem]

basically for drawing the perpendicular bisector do we have to like plot points with the equation

[MiniCuberr]

How about the third example if it was inequality? Thanks.

[targetmurima]

But I have a question though... do we shade the wanted or the unwanted region...?

[kingmonk]

Uhm i dont get wwhen you were on the circles and said -4 but it was actually negative 3. was that a mistake?

[Sarah-whux]

what would you need to do if you had arg((z-2i)/(z-6)) = 1/2 pi

[adderallclimax]

THANKS BC I WAS SLEEPING DURINGMY MATH CLASS BUT YOU HELPED SO MUCHHH

[perfectstranger]

Great explanation;but a question can we draw the perpendicular bisector with help of the compass?

[aliabbasdhalla]

I didnt understand the part of extensions

[danielngo]

Can you make a video to find max and min arg(z)

[jcn]

baby question try explaining some harder versions of these topics

[azfarhasan]

7:50 Why are you pronouncing your L's like that. You pronounced them fine in the beginning