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Let z be a co...

Question

Let z be a complex number such that |z| = 5 . Find the maximum value of | z + 3 + 4i |

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Solution

We know from triangle inequality that|z+3+4i|‹=|z|+ |3+4i|Hence |z+3+4i|‹= 5 + 5 |z+3+4i|‹= 10 Hence maximum value of |z+3+4i| will be 10

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Standard XII Mathematics