If |z+4| ≤ 3, then the maximum value of |z+1| is

Question

If |z+4| ≤ 3, then the maximum value of |z+1| is (A) 6 (B) 0 (C) 4 (D) 10

Tardigrade Admin · Accepted Answer

z lies on or inside the circle with centre (- 4, 0) and radius 3 units <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/a02ede875e2071ac1b7cd375db2bfdc5-.png" /> From the Argand diagram maximum value of |z+1| is 6 .

Q. If $∣ z + 4∣ \leq 3$ , then the maximum value of $∣ z + 1∣$ is

6

0

4

10

z lies on or inside the circle with centre $(- 4, 0)$ and radius $3$ units

From the Argand diagram maximum value of $∣ z + 1∣$ is $6$ .

Q. If ∣z+4∣≤3, then the maximum value of ∣z+1∣ is

6

0

4

10

z lies on or inside the circle with centre (−4,0) and radius 3 units From the Argand diagram maximum value of ∣z+1∣ is 6 .

Q. If $∣ z + 4∣ \leq 3$ , then the maximum value of $∣ z + 1∣$ is

z lies on or inside the circle with centre $(- 4, 0)$ and radius $3$ units

From the Argand diagram maximum value of $∣ z + 1∣$ is $6$ .