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Q.

A particle moves along a line by S = t3 - 9t2 + 24t then S is increasing when t ∈

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a

2, 4

b

0, 2 ∪ 4, ∞

c

-∞, 2

d

4, ∞

answer is B.

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Detailed Solution

dsdt=3t2-18t+24>0              t2-6t+8>0              (t-2) (t-4)>0          if ∈(0,2)∪(4,∞)

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