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Maths Complex Number The Modulus and the Conjugate of a Complex Number Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 14, 2026

If z is any complex number such that | z + 4 | 3, then the least value and greatest value of | z + 1| are

1, 6

0, 6

2, 8

None of these

Text Solution

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The correct answer is:

Least value of | z + 1| is 0 and this happens when z = – 1

⇒ | z + 4| = | – 1 + 4 | = 3 3 | z + 1|

= | (z + 4) – 3 | | z + 4 | + | – 3 |

3 + 3 6

greatest value of | z + 1 | = 6

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