If the angle made by the tangent at the point (x₀, y₀) on the curve …, …, …, with the positive x-axis is …, then y₀ is equal to:

Application of Derivatives

JEE Main 2022 · 25 Jun, Evening shift · Q2786

MathematicsMedium175×since 2002Q2786

If the angle made by the tangent at the point (x₀, y₀) on the curve

x = 12(t + \sin t\cos t)

y = 12{(1 + \sin t)^2}

0 < t < {\pi \over 2}

, with the positive x-axis is

{\pi \over 3}

, then y₀ is equal to:

JEE Main 2022 · 25 Jun, Evening shift · Q2786

MathematicsMedium175×since 2002Q2786

If the angle made by the tangent at the point (x₀, y₀) on the curve

x = 12(t + \sin t\cos t)

y = 12{(1 + \sin t)^2}

0 < t < {\pi \over 2}

, with the positive x-axis is

{\pi \over 3}

, then y₀ is equal to: