Let 5( )= (x, y): y^ 2 x_ 1 and A(α) is area of the region S(α). If for a , 0 < 4, A( ) …
Mathematics · JEE Main · NTA Exams — Integral Calculus
Let \(5(\pi)=\left\{(x, y): y^{2} \leq x_{1} \leq \pi\right\}\) and A(α) is area of the region S(α). If for a λ, 0 < λ 4, A(λ) : A(4) = 2 : 5, then λ equals:
- \(4\left(\frac{4}{25}\right)^{\frac{1}{3}}\)
- \(2\left(\frac{3}{5}\right)^{\frac{1}{3}}\)
- \(4\left(\frac{2}{5}\right)^{\frac{1}{3}}\)
- \(2\left(\frac{4}{25}\right)^{\frac{1}{3}}\)
Answer
(C) 4 ( 2 5 )^ 1 3
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