tan−1x+cot−1x=2π for all real x. So expression =2π+sin−1x. Since sin−1x∈[−2π,2π], expression ranges from 0 to π. Hence α=0, β=π.
A motor boat goes 20 km downstream and comes back to the starting point in 6 hours. If the speed of the boat in still water is 12 km/h, then the…
CUET UG 2023 — Mathematics Applied-Mathematics
2023mcqmedium
A motor boat goes 20 km downstream and comes back to the starting point in 6 hours. If the speed of the boat in still water is 12 km/h, then the speed of the stream is :
Official previous-year question
Held on 30 May 2023 · Verified 13 Jul 2026.
Options
- A
10 km/h
- B
15 km/h
- C
8 km/h
- D
6 km/h
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