If [$$tan$$–$$1x$$]$$2$$ – $$2$$[$$tan$$–$$1x$$] $$+$$ $$1$$ ≤ $$0$$, where [.] denotes greatest integer ≤ x, x belongs to

Correct option is 1[tan1, tan2)

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If [tan^–1x]² – 2[tan^–1x] + 1 ≤ 0, where [.] denotes greatest integer ≤ x, x belongs to

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[tan1, tan2)

π4,π2

[tan1,∞)

none of these

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detailed solution

Correct option is A

The given inequation is[[tan–1 x] – 1]2 ≤ 0⇒ [tan–1x]= 1 as [[tan–1x]– 1]2 ≮ 0⇒ 1 ≤ tan–1x < 2⇒ x ∈[tan 1, tan 2)

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If [tan–1x]2 – 2[tan–1x] + 1 ≤ 0, where [.] denotes greatest integer ≤ x, x belongs to

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If [tan^–1x]² – 2[tan^–1x] + 1 ≤ 0, where [.] denotes greatest integer ≤ x, x belongs to