Half lines?!?-complex loci-further maths Watch

SudanesePrince
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#1
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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.

Many thanks in advance,

The Sudanese Prince,
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BuryMathsTutor
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(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.

Many thanks in advance,

The Sudanese Prince,
Would you like to post a specific question?
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SudanesePrince
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(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,
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BuryMathsTutor
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(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 \arg(w)=\frac{-3\pi}{4} ?
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SudanesePrince
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(Original post by BuryMathsTutor)
Would you be able to sketch the locus for \arg(w)=\frac{-3\pi}{4} ?
I don't think so, also what does w represent?
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BuryMathsTutor
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(Original post by SudanesePrince)
I don't think so, also what does w represent?
Some complex number.
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SudanesePrince
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(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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