COMEDK · Maths · 31. Area Under Curves
The area enclosed by the pair of lines \(x y=0\), the line \(x-4=0\) and \(y+5=0\) is
- A \(10 \mathrm{sq}\) units
- B 20 sq units
- C 0 sq units
- D \(\frac{5}{4}\) sq units
Answer & Solution
Correct Answer
(B) 20 sq units
Step-by-step Solution
Detailed explanation
We have, \begin{aligned} & x y &=0, x-4=0, y+5=0 \\ \Rightarrow \quad & x &=0, y=0, x=4, y=-5 \end{aligned} So, arca enclosed \(=\) Area of rectangle \(O A B C\) \(=A B \times B C\) \(=5 \times 4\) = 20 sq units
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