Let a curve y=y(x) pass through the point (3,3) and the area of the region under this curve, above the x -axis and between the abscissae 3 and x(>3) be (y/x)³. If this curve also passes through the point (α, 6 √(10)) in the first quadrant, then α is equal to _ _ _ _ _ _.

Differential Equations: JEE Main 2022 Mathematics question

JEE Main 2022 · 26 Jul, Morning shift · Q30

JEE Main 202226 Jul, Morning shiftMathematicsMediumDifferential Equations163× since 2002

Let a curve

y=y(x)

pass through the point

(3,3)

and the area of the region under this curve, above the

x

-axis and between the abscissae 3 and

x(>3)

\left(\frac{y}{x}\right)^{3}

. If this curve also passes through the point

(\alpha, 6 \sqrt{10})

in the first quadrant, then

\alpha

is equal to ___________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2022 Differential Equations Question with Answer (26 Jul Morning shift, Q30) | JEE Arc