JEE Mains · Maths · STD 12 - 8. Application and integration
The area of the region bounded by the curve \(y=\max \{|x|, x|x-2|\}\), then \(x\)-axis and the lines \(x=-2\) and \(x=4\) is equal to _______ .
- A 10
- B 12
- C 14
- D 16
Answer & Solution
Correct Answer
(B) 12
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \text { Required Area }=\frac{1}{2} \times 2 \times 2+\frac{1}{2} \times 3 \times 3+\frac{1}{2} \times 1 \times 11 \\ & =12\end{aligned}\)
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