If $y = | x - a | + | x - 2 a | + | x + a |$ , then the critical point(s) for the curve is/are

- a

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a

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- 2 a

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2 a

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Solution

The correct option is D $2 a$
$y = | x - a | + | x - 2 a | + | x + a |$
When $x \geq 2 a$
$y = 3 x - 2 a$

When $a \leq x < 2 a$
$y = x + 2 a$

When $- a \leq x < a$
$y = - x + 4 a$

When $x < - a$
$y = - 3 x + 2 a$

Suggest Corrections

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