The closest distance of the origin from a curve given as a¯¯¯¯Z+¯¯¯aZ+a¯¯¯a=0 is (a is a complex number)
A
1 unit
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B
Re(a)|a|
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C
Im(a)|a|
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D
|a|2
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Solution
The correct option is D|a|2 Given curve a¯¯¯z+¯¯¯az+a¯¯¯a=0 which is a straight line ⊥r distance from origin ∣∣∣a(0)+¯¯¯a(0)+a¯¯¯a2|a|∣∣∣ =|a|22|a|=|a|2