AP EAMCET · Maths · Area Under Curves
The area included between the parabola \(y=\frac{x^2}{4 a}\) and the curve \(y=\frac{8 a^3}{\left(x^2+4 a^2\right)}\) is
- A \(a^2\left(2 \pi+\frac{2}{3}\right)\)
- B \(a^2\left(2 \pi-\frac{8}{3}\right)\)
- C \(a^2\left( \pi+\frac{4}{3}\right)\)
- D \(a^2\left(2 \pi-\frac{4}{3}\right)\)
Answer & Solution
Correct Answer
(D) \(a^2\left(2 \pi-\frac{4}{3}\right)\)
Step-by-step Solution
Detailed explanation
Given curves, \(\begin{aligned} & y=\frac{x^2}{4 a} \\ & y=\frac{8 a^3}{x^2+4 a^2} \end{aligned}\) For point of intersection equation (i) and (ii),…
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