MHT CET · Maths · Area Under Curves
The area of the region bounded by the line \(2 y+x=8, x-\) axis and the lines \(x=2\) and \(x=4\) is
- A 6 sq. units
- B 5 sq. units
- C 4 sq. units
- D 10 sq. units
Answer & Solution
Correct Answer
(B) 5 sq. units
Step-by-step Solution
Detailed explanation
The required area \(=\int_2^4 \frac{8-\mathrm{x}}{2} \mathrm{dx}\)
\(=\left[4 x-\frac{x^2}{4}\right]_2^4=(16-4)-(8-1)=5 \text { sq unit}\)
\(=\left[4 x-\frac{x^2}{4}\right]_2^4=(16-4)-(8-1)=5 \text { sq unit}\)
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