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Question

If cosα=1213,cotβ=247,90 < α < 180 and 180 < β < 270, then the quadrant in which α+β lies

A
I
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B
II
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C
III
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D
IV
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Solution

The correct option is D IV
90 < α < 180 and 180 < β < 270270 < α+β < 450α+βϵI(or)IV
Tan(α+β)=512+7241[512].724 < 0. α+βϵIV

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