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January 11th, 2017, 04:19 AM   #1
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locus of z=at+b/t

Please find locus of
where a and b are complex constants and t is real.

I started with a= a1+a2i and b=b1+b2i but stuck at
x=a1t+b1/t, y=a2+b2/t
how to eliminate t? so that I can get equation in terms of x and y only?

Thanks in advance.
sohailto is offline  
January 11th, 2017, 07:39 AM   #2
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If x = at + b/t and y = ct + d/t,
dx - by = (ad - bc)t and -cx + ay = (ad - bc)/t.
The product of those equations eliminates t.
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