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JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

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Analyzing +4 | -1
If tan⁡−1∣a∣=tan⁡−1(a2+k)−π4\tan ^{-1}|a|=\tan ^{-1}\left(a^2+k\right)-\frac{\pi}{4} holds for integral values of a∈[−2,2]a \in[-2,2]. Then number of integral value(s) of kk is equal to
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Correct option: A
1
Option A (1) is correct because only one integral value of k satisfies the given equation for the specified range of a.

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