COMEDK · Maths · 31. Area Under Curves
The area of the region enclosed by the lines \(2 x+y=10, y=1, y=5\) and the y -axis is
- A 14 sq units
- B 37.5 sq units
- C 28 sq units
- D 9.5 sq units
Answer & Solution
Correct Answer
(A) 14 sq units
Step-by-step Solution
Detailed explanation
The region is bounded by the lines \(2x + y = 10\), \(y = 1\), \(y = 5\), and the y-axis (\(x = 0\)). Expressing \(x\) in terms of \(y\) from the equation \(2x + y = 10\), we get \(x = \dfrac{10 - y}{2} = 5 - 0.5y\). The area \(A\) of the region is given by the integral of \(x\)…
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