Questions
a
ellipse
b
circle
c
parabola
d
pair of straight line
detailed solution
Correct option is A
Let z=x+iy=r(cosθ+isinθ) , Then the equation is |2(x−2)+2i(y−1)|=r12cosθ−12sinθ=12(rcosθ−rsinθ)⇒(x−2)2+(y−1)2=12x−y2 It is an ellipse with focus at (2,1) and directrix x−y=0 and eccentricity =12<1 The locus represents an ellipseTherefore, the correct answer is (1).Talk to our academic expert!
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