Discussion Forum



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) $49 \pi$

B) $36 \pi$

C) $25 \pi$

D) $5 \pi$

Answer:

Option D

Explanation:

 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

1572021607_g1.PNG

 Area of region= Area of largest circle 

 Area of smallest circle 

$9\pi-4\pi$=$5\pi$