Question

If \[ A=\{z=x+iy:|z-4||z-3|\}, \] \[ B=\{z=x+iy:-3\le y\le3,\;x\in N,\;y\in N\}, \] and \(C=A\cap B\), then \(n(C)=\)

• A. \(11\)
• B. \(16\)
• C. \(7\)
• D. \(12\)

Hint:

Equations of the form \(|z-a|=|z-b|\) always represent the perpendicular bisector of the line joining \(a\) and \(b\) on the Argand plane.

Answer 1

The Correct Option is C