Let S(\\alpha)= \{(x, y) : y^{2} \leq x, 0 \leq x \leq \\alpha\} and A(\\alpha) is area of the region S(\\alpha) . If for a \\lambda, 0 < \\lambda <4, A(\\lambda) : A(4)=2 : 5, then \\lambda equals: [8 Apr 2019 Shift 2]

2( \frac{4}{25} )^{ \frac{1}{3}}

4( \frac{4}{25} )^{ \frac{1}{3}}

2( \frac{2}{ 5} )^{ \frac{1}{3}}

4( \frac{2}{ 5} )^{ \frac{1}{3}}

JEE Main 8 Apr 2019 Paper 2 Solved Paper

Section: Mathematics

Question : 75 of 90

Marks: +1, -0

Let S(α)={(x,y):y2≤x,0≤x≤α} 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:

[8 Apr 2019 Shift 2]

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