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Complex numbers Question A2 maths

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loggerhead:
please help me with this question

The complex number u is given by
u = 7 + 4i
      3 - 2i

(i) Express u in the form x + iy, where x and y are real.              [3]

(ii) Sketch an Argand diagram showing the point representing the complex number u. Show on the same diagram the locus of the complex number z such that |z - u|= 2.            [3]

(iii) Find the greatest value of arg z for points on this locus.

i can do (i) and (ii) no problem but i need help with part 3 please

this is question 7 from CIE Maths paper 3 Oct/Nov 2003 which is attached

sameer210394:

--- Quote from: loggerhead on October 23, 2009, 01:13:25 am ---please help me with this question

The complex number u is given by
u = 7 + 4i
      3 - 2i

(i) Express u in the form x + iy, where x and y are real.              [3]

(ii) Sketch an Argand diagram showing the point representing the complex number u. Show on the same diagram the locus of the complex number z such that |z - u|= 2.            [3]

(iii) Find the greatest value of arg z for points on this locus.

i can do (i) and (ii) no problem but i need help with part 3 please

this is question 7 from CIE Maths paper 3 Oct/Nov 2003 which is attached

--- End quote ---

i'm gettin the answer for (iii) as 2.2 radians... just check,,, i donno if its right...

astarmathsandphysics:
Arg u + arcsin (2/|u|)

loggerhead:
o yea, so simple.

thank you

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