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Question

If a+π2<2tan1x+3cot1x<b then a andb are respectively.

A
0 and 2π
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B
0 and π
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C
π2 and π2
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D
π2 and 2π
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Solution

The correct option is D π2 and 2π
a+π2<2(tan1x+cot1x)+cot1x<b
a+π2<π+cot1x<b
aπ2<cot1x<bπ
[ 0<cot1x<π]
a=π2 and b=2π

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