If - z - - 4- then maximum value of - iz -3-4 i - is equal to-A- 2B- 4C- 3D- 9

The correct option is D 9 |iz+3 4i| ≤ |iz| + |3 4i| = |i||z| + 5 ≤ 4+5 = 9 ...

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Byju's Answer

Standard XI

Mathematics

Properties of Modulus

If | z | ≤ 4,...

Question

If $| z | \leq 4$ , then maximum value of $| i z + 3 - 4 i |$ is equal to:

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Solution

The correct option is D
9

$| i z + 3 - 4 i | \leq | i z | + | 3 - 4 i |$ = $| i | | z | + 5 \leq 4 + 5$ = 9

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If |z|≤4, then maximum value of |iz+3−4i| is equal to:

The correct option is D 9 |iz+3−4i|≤|iz|+|3−4i| = |i||z|+5≤4+5 = 9

If $| z | \leq 4$ , then maximum value of $| i z + 3 - 4 i |$ is equal to:

The correct option is D
9

$| i z + 3 - 4 i | \leq | i z | + | 3 - 4 i |$ = $| i | | z | + 5 \leq 4 + 5$ = 9