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Definite Integration question

2022 · 27 Jul · Shift 2 · Q39

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PYQ Library
JEE Main
Mathematics
Definite Integration
2022 · 27 Jul · Shift 2 · Q39

Definite Integration question

2022 · 27 Jul · Shift 2 · Q39

JEE MainMathematicsDefinite IntegrationNumerical+4 / −1

Let f be a differentiable function satisfying

f(x)=\frac{2}{\sqrt{3}} \int\limits_{0}^{\sqrt{3}} f\left(\frac{\lambda^{2} x}{3}\right) \mathrm{d} \lambda, x\gt 0

and

f(1)=\sqrt{3}

. If

y=f(x)

passes through the point

(\alpha, 6)

, then

\alpha

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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