# Half lines?!?-complex loci-further mathsWatch

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#1
I understand how to find the equation of the half line. But I do not understand how to determine the direction of the line, or how to determine if the endpoint should be included or not.

The Sudanese Prince,
0
1 year ago
#2
(Original post by SudanesePrince)
I understand how to find the equation of the half line. But I do not understand how to determine the direction of the line, or how to determine if the endpoint should be included or not.

The Sudanese Prince,
Would you like to post a specific question?
0
#3
(Original post by BuryMathsTutor)
Would you like to post a specific question?
Hmm, Q represents a complex number z on an argand diagram such that arg(z-5)=-3pi/4

Sketch on an argand diagram, the locus of Q as z varies.

I have found the equation of the line, y = X -5,
However I have no clue how to determine the direction and inclusion of the endpoint of the line.

Thanks for the quick response,
0
1 year ago
#4
(Original post by SudanesePrince)
Hmm, Q represents a complex number z on an argand diagram such that arg(z-5)=-3pi/4

Sketch on an argand diagram, the locus of Q as z varies.

I have found the equation of the line, y = X -5,
However I have no clue how to determine the direction and inclusion of the endpoint of the line.

Thanks for the quick response,
Would you be able to sketch the locus for ?
0
#5
(Original post by BuryMathsTutor)
Would you be able to sketch the locus for ?
I don't think so, also what does w represent?
0
1 year ago
#6
(Original post by SudanesePrince)
I don't think so, also what does w represent?
Some complex number.
0
#7
(Original post by BuryMathsTutor)
Some complex number.
Ah ok, well I would be able to find the equation of the line, but beyond that, no.
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