The minimum value of $|x-3|+|x-2|+|x-5|$ is

JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

1 Easy

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Application +4 | -1

The minimum value of

|x-3|+|x-2|+|x-5|

View answer and explanation

Correct option: A

Option A (3) is correct because the minimum value of the sum of absolute differences occurs at the median, which is 3, and the minimum value is |3-3|+|3-2|+|3-5| = 0+1+2 = 3.

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a

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is (are)