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If $2 < a < 4$ then $\sqrt{{(a - 2)}^{2}} + \sqrt{{(a - 4)}^{2}} =$

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2 a - 6

- 2 a + 6

2

- 2

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detailed solution

Correct option is C

$| a - 2 | + | 4 - a | = a - 2 + 4 - a = 2 (∵ 2 < a < 4)$

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If 2<a<4 then (a−2)2+(a−4)2=

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If $2 < a < 4$ then $\sqrt{{(a - 2)}^{2}} + \sqrt{{(a - 4)}^{2}} =$