1) If z= x+iy represents a point P in the argand plane, then the area of the region, represented by the inequality 2<|z-(1+i)|<3 is A) 49π B) 36π C) 25π D) 5π Answer: Option DExplanation: We have, z=x+iy and 2 <|z-(1+i)|<3 2<|(X-1)-(Y-1)i| <3 4<(x-1)2+(y-1)2 <9 Area of region= Area of largest circle Area of smallest circle 9π−4π=5π
