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JEE Previous Year Question

$The minimum value of | z - 1 | + | z - 5 | is$

Topic: JEE PYQ

Answer: B. Full step-by-step solution below.

A $5$
B $4$
C $3$
D $2$

Correct answer: B

Solution

(b) Given that, | (z - 1) - (z - 5) | \leq | (z - 1) | + | (z - 5) | ∴ (z - 1 - z + 5) \leq (z - 1) + (z - 5) (4) \leq (z - 1) + (z - 5) Hence, | z - 1 | + | z - 5 | \geq 4

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