Let {\f} be a differentiable function satisfying f(x)=\frac{2}\sqrt{3} \int_0↖\sqrt{3} f(\frac{\lambda^2 x}{3}) {\d} \lambda, x > 0 and f(1)=\sqrt{3}. If y=f(x) passes through the point (\alpha, 6), then \alpha is equal to __________. [27-Jul-2022-Shift-2]

JEE Mains 27-July-2022 Shift 2 Solved Paper

Section: Mathematics

Question : 28 of 90

Marks: +1, -0

Let f be a differentiable function satisfying f(x)=‌

√3

‌

√3

∫

f(‌

λ2x

)dλ,x>0 and f(1)=√3. If y=f(x) passes through the point (α,6), then α is equal to __________.

[27-Jul-2022-Shift-2]

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