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URGENT MATHS---EXAM TOMOROW

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cashem'up:
Hey guys i really need some help in maths regarding this question A levl exam tmrow w05 qp3 q7 last part regarding argand diagram Thanks

Sketch an Argand diagram showing the point representing the complex number 1 + 2i. Show on
the same diagram the set of points representing the complex numbers  which satisfy
|z| = |z ? 1 ? 2i| .

How do u do this please please help

elemis:
ONe moment.

elemis:
Sorry to let you down but I cant solve this. I'm doing further maths but still.... its out of my depth.

Sorry dude !

cashem'up:
damn!!!....aghh...hey man can u try again... xam tomorow a level....please please... By the way where is astar....god help me

SAKS10111:

--- Quote from: cashem'up on October 26, 2010, 02:22:42 pm ---Hey guys i really need some help in maths regarding this question A levl exam tmrow w05 qp3 q7 last part regarding argand diagram Thanks

Sketch an Argand diagram showing the point representing the complex number 1 + 2i. Show on
the same diagram the set of points representing the complex numbers  which satisfy
|z| = |z ? 1 ? 2i| .

How do u do this please please help

--- End quote ---

okay, so you replace 'z' with 'x+iy', so you have |x+iy|=|x+iy-1-2i|
-> x^2 + y^2 = (x-1)^2 + (y-2)^2
-> x^2 + y^2 = x^2 -2x +1 + y^2 -4y +4
-> 2x+4y = 5 ---- you can leave it like this and draw the line of this equation, or simplify it further (which is what I like to do) and you get: y= (5/4) - (1/2)x
Just draw this line and you're done
Hope this helped :)

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