Since tan−1(1−x22x)=2tan−1x:
tan−1y=3tan−1x, so y=tan(3θ) where θ=tan−1x.
y=1−3tan2θ3tanθ−tan3θ=1−3x23x−x3.
Two pipes A and B can fill a cistern in 15 minutes and 30 minutes respectively. Both pipes are opened together, but after 5 minute pipe B is turned…
CUET UG 2023 — Mathematics Arithmetic
2023mcqmedium
Two pipes A and B can fill a cistern in 15 minutes and 30 minutes respectively. Both pipes are opened together, but after 5 minute pipe B is turned off. The cistern will be full in total :
Official previous-year question
Held on 15 Jun 2023 · Verified 13 Jul 2026.
Options
- A
10 minutes
- B
7.5 minutes
- C
15 minutes
- D
12.5 minutes
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