Teaching NVS PGT 2024 Test Series Mathematics Trigonometry Inverse Trigonometric Functions

If \(a + \dfrac{\pi}{2} < 2 \tan^{-1} x + 3 \cot^{-1} x < b\) then 'a' and 'b' are respectively.

1
0 and π 
2
\(\dfrac{π}{2}\) and 2π 
3
0 and 2π 
4
\(\dfrac{-\pi}{2} \ \rm and \ \dfrac{\pi}{2}\)
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