Use property ∫abf(x)dx=∫abf(a+b−x)dx with a+b=π/2. Since tan(π/2−x)=1/tanx, the second form of the integrand is tanx/(1+tanx). Adding gives 2I=∫π/6π/31dx=π/6, so I=π/12.
Three partners Ramesh, Suresh and Mahesh shared the profit in a business in the ratio 5:4:7 respectively, they invested the money for 10 months, 8…
CUET UG 2023 — Mathematics Applied-Mathematics
2023mcqmedium
Three partners Ramesh, Suresh and Mahesh shared the profit in a business in the ratio 5:4:7 respectively, they invested the money for 10 months, 8 months and 6 months respectively then ratio of their investment is :
Official previous-year question
Held on 23 May 2023 · Verified 13 Jul 2026.
Options
- A
5:3:3
- B
3:3:7
- C
5:4:7
- D
4:5:3
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