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B
semicircle
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C
parabola
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D
straight line
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Solution
The correct option is B semicircle Let z=x+iy =λ+3−i√5−λ2 Hence x−3=λ And y2=5−λ2 λ2=5−y2 Therefore 5−y2=(x−3)2 (x−3)2+y2=5 Hence Z represents a circle whose center is at (3,0) with radius √5.