turkey-yks 2012 Q29

turkey-yks · Other · lys1-math Complex Numbers Argand & Loci Locus Identification from Modulus/Argument Equation

For the complex number $z = a + ib$ whose distance to the number 1 is 2 units and whose distance to the number i is 3 units, what is the difference $a - b$?
A) $\frac { 3 } { 2 }$
B) $\frac { 5 } { 2 }$
C) $\frac { 7 } { 2 }$
D) $\frac { 4 } { 3 }$
E) $\frac { 7 } { 3 }$

For the complex number $z = a + ib$ whose distance to the number 1 is 2 units and whose distance to the number i is 3 units, what is the difference $a - b$?

A) $\frac { 3 } { 2 }$\\
B) $\frac { 5 } { 2 }$\\
C) $\frac { 7 } { 2 }$\\
D) $\frac { 4 } { 3 }$\\
E) $\frac { 7 } { 3 }$

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