JEE Mains · Maths · STD 12 - 8. Application and integration
The area of the region enclosed by \(y \leq 4 x^{2}, x^{2} \leq 9 y\) and \(y \leq 4\), is equal tọ
- A \(\frac{40}{3}\)
- B \(\frac{56}{3}\)
- C \(\frac{112}{3}\)
- D \(\frac{80}{3}\)
Answer & Solution
Correct Answer
(D) \(\frac{80}{3}\)
Step-by-step Solution
Detailed explanation
\(\Delta=2 \cdot \int_{0}^{4}\left(3 \sqrt{y}-\frac{\sqrt{y}}{2}\right) d y\) \(=2 \cdot \int_{0}^{4} \frac{5}{2} \sqrt{y} d y=\frac{80}{3}\)
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