Recent content by Amaru58

So if we draw two lines: 1) Joining the centre of the circle to the origin and 2) extending a tangent of the circle to the origin as this is where the minimum argument occurs? Consequently two congruent triangles are formed (if we draw a line down form the centre of the circle perpendicular to...

Homework Statement Find the minimum value of arg(z) where z satisfies the inequality |z + 3 -2i| </_ 2 Homework Equations Is this working correct? Thank you for help in advance The Attempt at a Solution Z lies on a circle with radius 2 and centre -3,2 arg(z)min = pi - 2...

OK. I'm not too sure what you mean by canonical form? Would x = {(x+3)^2 + (y+2)^2}^1/2 Therefore: x^2 = x^2 +6x + 9 +y^2 +4y+4 6x+4y+y^2=-13 I'm not quite sure what to do now Thanks for the help

Homework Statement Find the cartesian equation of the locus |z+3+2i|=Re(z) Homework Equations The Attempt at a Solution You let z= x +iy therefore Re(z)=x?