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Question

Consider the equation az+b¯¯¯z+c=0, where a,b,cZ.If |a|=|b|0 and ¯¯¯ac=b¯¯c, then az+b¯¯¯z+c=0 represents

A
an ellipse
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B
a circle
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C
a point
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D
a straight line
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Solution

The correct option is D a straight line
Given, az+b¯¯¯z+c
a(x+iy)+b(xiy)+c=0
(a+b)x+iy(ab)+c=0
This equation represents straight line.

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