Illustrate in the complex plane the set of points z satisfying `|z + i- 2| le 2`

Illustrate in the complex plane, the set of points satisfying the following condition. Explain your answer |z| le 3

Illustrate in the complex plane, the set of points satisfying the following condition. Explain your answer arg (z-2) = (pi)/(3)

Illustrate in the complex plane, the set of points satisfying the following condition. Explain your answer |i-1-2z| gt 9

Illustrate in the complex plane the following set of points and explain your answer arg (Z) = (pi)/(6)

Illustrate in the complex plane the following set of points and explain your answer |Z|=3

Illustrate in the complex plane the following set of points and explain your answer |z-4| lt 1

Illustrate in the complex plane the following set of points and explain your answer |z| lt 5

Illustrate and explain the set of points z in the Argand diagram, which represents |z- z_(1)| le 3 where z_(1)= 3-2i

Match the statements in column-I with those I column-II [Note: Here z takes the values in the complex plane and I m(z)a n dR e(z) denote, respectively, the imaginary part and the real part of z ] Column I, Column II: The set of points z satisfying |z-i|z||-|z+i|z||=0 is contained in or equal to, p. an ellipse with eccentricity 4/5 The set of points z satisfying |z+4|+|z-4|=10 is contained in or equal to, q. the set of point z satisfying I m z=0 If |omega|=1, then the set of points z=omega+1//omega is contained in or equal to, r. the set of points z satisfying |I m z|lt=1 , s. the set of points z satisfying |R e z|lt=1 , t. the set of points z satisfying |z|lt=3

If |omega|=2 , then the set of points z=omega-1/omega is contained in or equal to the set of points z satisfying