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Question

If |a||b|, then the equation az+b¯z+c=0 represents
  1. A straight line
  2. An ellipse
  3. A circle
  4. A point

A
An ellipse
B
A point
C
A circle
D
A straight line
Solution
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az+b¯¯¯z+c=a(x+iy)+b(xiy)+c=0
ax+bx+c+iy(ab)=0
Since we have given |a||b|
Thus given equation is represents point.

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