≤2 ⇒|z|2−1≤2|z| ⇒|z|2−2|z|−1≤0 ⇒|z|2−2|z|+1−2≤0 ⇒(|z|−1)2−2≤0 ⇒−√2≤|z|−1≤√2 ⇒1−√2≤|z|≤1+√2.....(1) or −2≤
|z|2−1
|z|
⇒|z|2−1≤−2|z| ⇒|z|2+2|z|−1≤0 ⇒|z|2+2|z|+1−2≤0 ⇒(|z|+1)2−2≤0 ⇒−√2≤|z|+1≤+√2 ⇒−√2−1≤|z|≤√2−1...... (2) From (1) and (2) we get, Maximum value of |z|=√2+1 and minimum value of |z|=−√2−1