(C) We are given $|z| < 2$. We need to find the maximum value of $|iz + 6 - 8i|$.Using the triangle inequality,$|z_1 + z_2| \leq |z_1| + |z_2|$,we hav

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(C) We are given $|z| Using the triangle inequality,$|z_1 + z_2| \leq |z_1| + |z_2|$,we have:$|iz + 6 - 8i| = |iz - (8i - 6)| \leq |iz| + |6 - 8i|$.Since $|iz| = |i| |z| = 1 \cdot |z| Therefore,$|iz + 6 - 8i| As $|z|$ approaches $2$,the value of $|iz + 6 - 8i|$ approaches $12$.

Class 11 Mathematics 4-1.Complex numbers Geometry of complex numbers

Given $z$ is a complex number such that $|z| < 2$,then the maximum value of $|iz + 6 - 8i|$ is equal to-

A
$10$
B
$8$
C
$12$
D
$6$

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4-1.Complex numbers

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Geometry of complex numbers

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Given $z$ is a complex number such that $|z| < 2$,then the maximum value of $|iz + 6 - 8i|$ is equal to-

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The locus of the point representing the complex number $z$ for which $|z+3|^2-|z-3|^2=15$ is

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